Coordinate system Questions and Answers

The slope field for the equation for P 0 is shown below dP dt On a sheet of paper sketch the solutions to this slope field that pass through 0 0 1 4 4 1 4 5 1 2 12 and 2 10 For which interval of positive values of P are the solutions increasing Increasing for For what interval of positive values of P are the solutions decreasing P 0 1P 10 P Decreasing for What is the equation of the solution to this differential equation that passes through 0 0 If the solution passes through a value of P 0 what is lim P t t 00
Geometry
Coordinate system
The slope field for the equation for P 0 is shown below dP dt On a sheet of paper sketch the solutions to this slope field that pass through 0 0 1 4 4 1 4 5 1 2 12 and 2 10 For which interval of positive values of P are the solutions increasing Increasing for For what interval of positive values of P are the solutions decreasing P 0 1P 10 P Decreasing for What is the equation of the solution to this differential equation that passes through 0 0 If the solution passes through a value of P 0 what is lim P t t 00
Find the equation for the parabola that has its vertex at the origin and has directrix at y The equation is 1 28
Geometry
Coordinate system
Find the equation for the parabola that has its vertex at the origin and has directrix at y The equation is 1 28
Sketch a graph of x 3 1 7 65324 5 7 6 5 4 3 2 1 1234 7 y 2 9 1 1 2 3 4 5 6 7
Geometry
Coordinate system
Sketch a graph of x 3 1 7 65324 5 7 6 5 4 3 2 1 1234 7 y 2 9 1 1 2 3 4 5 6 7
e m22 m26 What theorem can be used to prove that line a and line b are parallel Lesson 4 3 1 point A Converse of Alternate Exterior Angles OB Converse of Corresponding Angles DC Converse of Alternate Interior Angles OD Converse of Supplementary Angles 12 34 87 65
Geometry
Coordinate system
e m22 m26 What theorem can be used to prove that line a and line b are parallel Lesson 4 3 1 point A Converse of Alternate Exterior Angles OB Converse of Corresponding Angles DC Converse of Alternate Interior Angles OD Converse of Supplementary Angles 12 34 87 65
ties of rigid motion Starting b Rob says that AB AC and BD CD Do you agree Explain Getting there Lesson 5 2 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint Complete the Lesson Reflection above by circling your current understanding of the Learning Goal 1 Rob is making the kite shown in the figure a Can Rob conclude that AABD AACD Why or why not A Got it
Geometry
Coordinate system
ties of rigid motion Starting b Rob says that AB AC and BD CD Do you agree Explain Getting there Lesson 5 2 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint Complete the Lesson Reflection above by circling your current understanding of the Learning Goal 1 Rob is making the kite shown in the figure a Can Rob conclude that AABD AACD Why or why not A Got it
5 What is the measurement of the missing angle 6 Given that lines a and b below are parallel and m23 105 which of the following angles also measure 105 Select all that apply 85 95 16 15x 5 21 22 24 02 5 0 0 0 8 7 Identify the relationship between the two angles shown below Corresponding Alternate Interior or Same Side Angles Then solve for x Identify the relationship between the two angles shown below Corresponding Alternate Interior or Same Side Angles Then solve for x 8 21x 26 02 7 23x 2 28 Optional Complete problems 1 3 8 12 14 from your textbook on separate lined paper
Geometry
Coordinate system
5 What is the measurement of the missing angle 6 Given that lines a and b below are parallel and m23 105 which of the following angles also measure 105 Select all that apply 85 95 16 15x 5 21 22 24 02 5 0 0 0 8 7 Identify the relationship between the two angles shown below Corresponding Alternate Interior or Same Side Angles Then solve for x Identify the relationship between the two angles shown below Corresponding Alternate Interior or Same Side Angles Then solve for x 8 21x 26 02 7 23x 2 28 Optional Complete problems 1 3 8 12 14 from your textbook on separate lined paper
Description Common Shares Contibuted Surplus Retained Earnings Cash Debit Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Not Positive Negative No Impact Determinable
Geometry
Coordinate system
Description Common Shares Contibuted Surplus Retained Earnings Cash Debit Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Not Positive Negative No Impact Determinable
What occupancy classification is an electric generation plant according to IBC F 2 F 1 H 2 Group B
Geometry
Coordinate system
What occupancy classification is an electric generation plant according to IBC F 2 F 1 H 2 Group B
Description Common Shares Contibuted Surplus Reained amings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Geometry
Coordinate system
Description Common Shares Contibuted Surplus Reained amings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Use the given below to answer items 4 and 5 Given 4 distinct points W X V Zona freo To prove that there exists a projectivity which carries W X Y Z into X W ZY consider the cudine of the proof given below Proof Project the points W X Z from poirt A nct ono Section o by o jdistinct from a and AM on Y and obtain the points W X Y Z so that that Y Y Join W and X meeting AZ ral Z 4 Draw the figure with the conditions in the given and in the outline of the proof stated above 5 Supply the missing basis of each pencil and center of perspectivity that are established below W X Y Z Z AZZ X W Y W XY 2
Geometry
Coordinate system
Use the given below to answer items 4 and 5 Given 4 distinct points W X V Zona freo To prove that there exists a projectivity which carries W X Y Z into X W ZY consider the cudine of the proof given below Proof Project the points W X Z from poirt A nct ono Section o by o jdistinct from a and AM on Y and obtain the points W X Y Z so that that Y Y Join W and X meeting AZ ral Z 4 Draw the figure with the conditions in the given and in the outline of the proof stated above 5 Supply the missing basis of each pencil and center of perspectivity that are established below W X Y Z Z AZZ X W Y W XY 2
Follow the instructions below and write an essay that covers the following tasks R script R screenshots your results and explanations should be included for each question in the essay NAMENSOR WINK Load Twitter Spam dataset into R studio use ggplot function to make density plot of Tweets number column no tweets to compare spam and non spam Clarify how you make the plot and what s your observation from the density plot 2 Use ggplot function to make scatterplots to present the relation of posted tweets number column no tweets and the number of followers column no follower displaying spammer and non spammer with different colours Clarify how you make the plot and what s your observation from the scatter plot Add regression lines to the scatterplot generated in Step 2 for spammer and non spammer separately what s your observation from the regression lines Compared with scatterplot only what are the advantages of adding regression lines
Geometry
Coordinate system
Follow the instructions below and write an essay that covers the following tasks R script R screenshots your results and explanations should be included for each question in the essay NAMENSOR WINK Load Twitter Spam dataset into R studio use ggplot function to make density plot of Tweets number column no tweets to compare spam and non spam Clarify how you make the plot and what s your observation from the density plot 2 Use ggplot function to make scatterplots to present the relation of posted tweets number column no tweets and the number of followers column no follower displaying spammer and non spammer with different colours Clarify how you make the plot and what s your observation from the scatter plot Add regression lines to the scatterplot generated in Step 2 for spammer and non spammer separately what s your observation from the regression lines Compared with scatterplot only what are the advantages of adding regression lines
a A grid connected micro hydro scheme has the following characteristics Synchronous motor generator 3 phase 0 8 MVA 0 7MW 11 V star connected Sachidace 0 05 2 Hydro Turbine rating 0 7 MW reverse power is not allowed Rated Geld corrent 2 0 pr Note 1 pu field current is defined as the current that would generated an emf of 1pu at rated speed you to snala the conabilitu dianvam chaming the safe moration ve Allow for a areo
Geometry
Coordinate system
a A grid connected micro hydro scheme has the following characteristics Synchronous motor generator 3 phase 0 8 MVA 0 7MW 11 V star connected Sachidace 0 05 2 Hydro Turbine rating 0 7 MW reverse power is not allowed Rated Geld corrent 2 0 pr Note 1 pu field current is defined as the current that would generated an emf of 1pu at rated speed you to snala the conabilitu dianvam chaming the safe moration ve Allow for a areo
Assignment Sketch the graph of each line 7 1 y x 2 4 1 3 y 5x 3 7 Rewrite 2 2x y 4 1 19 2x 4 Ay 2 X x7 7 4 4 Standart form 9 5 Name y 3x o 5 X x y 3 2 y 1 X73 Date 7 8 4 y 2x 1 5 y 2X 1 Ay DC y x 3 y x 3 2X2 3y 3 6 y z AX x ID Period
Geometry
Coordinate system
Assignment Sketch the graph of each line 7 1 y x 2 4 1 3 y 5x 3 7 Rewrite 2 2x y 4 1 19 2x 4 Ay 2 X x7 7 4 4 Standart form 9 5 Name y 3x o 5 X x y 3 2 y 1 X73 Date 7 8 4 y 2x 1 5 y 2X 1 Ay DC y x 3 y x 3 2X2 3y 3 6 y z AX x ID Period
y 3x 2 slope V 21 8 Given the slope and y intercept write an equation of the line in the slope and y intercept form Then write the equation in standard form 8 m 5 b 2 925172 5x y 2 0 10 m b 1 3 9 m 1 b 1 2 X 1 2 2x 2y 1 0 11 m 1 b 1 3 y 2 3 X 1 2x 34 3 0 y X 3xl 4 2 k bo
Geometry
Coordinate system
y 3x 2 slope V 21 8 Given the slope and y intercept write an equation of the line in the slope and y intercept form Then write the equation in standard form 8 m 5 b 2 925172 5x y 2 0 10 m b 1 3 9 m 1 b 1 2 X 1 2 2x 2y 1 0 11 m 1 b 1 3 y 2 3 X 1 2x 34 3 0 y X 3xl 4 2 k bo
The volume enclosed by the planes 3x 4 2y 3 z 4 3 is
Geometry
Coordinate system
The volume enclosed by the planes 3x 4 2y 3 z 4 3 is
If a line is not in Ex 1 2x y 5 Ex 3 x y 4 slope intercept form we may need to rearrange it Ex 2 6x 3y 9 Ex 4 3x 2y 5
Geometry
Coordinate system
If a line is not in Ex 1 2x y 5 Ex 3 x y 4 slope intercept form we may need to rearrange it Ex 2 6x 3y 9 Ex 4 3x 2y 5
In 1 Identify the following angle pairs as Corresponding Angles Alternate Interior Angles Same Side Interior Angles Vertical Angles or Linear Pairs a 41 and 27 c 3 and 46 In b 22 and 4 d 25 and 48 m 4 3 1 2 7 6 b
Geometry
Coordinate system
In 1 Identify the following angle pairs as Corresponding Angles Alternate Interior Angles Same Side Interior Angles Vertical Angles or Linear Pairs a 41 and 27 c 3 and 46 In b 22 and 4 d 25 and 48 m 4 3 1 2 7 6 b
In 6 1 m find the value of x and the measure of all the angles drawings are not to scale 6 6x 15 15x 3 m
Geometry
Coordinate system
In 6 1 m find the value of x and the measure of all the angles drawings are not to scale 6 6x 15 15x 3 m
What is the equation of the line that passes through the point 4 2 and has a slope 3 4
Geometry
Coordinate system
What is the equation of the line that passes through the point 4 2 and has a slope 3 4
Score 0 2 Question Penalty 0 25 off Watch Video Show E What is an equation of the line that passes through the point 4 4 and is
Geometry
Coordinate system
Score 0 2 Question Penalty 0 25 off Watch Video Show E What is an equation of the line that passes through the point 4 4 and is
Lesson 4 2 Homework HW Complete problems 1 8 for independent practice When you are finished check the solutions with your teacher 1 Identify the relationship shown below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 3 Identify the relationship below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 2 Identify the relationship shown below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 4 What is the measurement of the missing angle 65
Geometry
Coordinate system
Lesson 4 2 Homework HW Complete problems 1 8 for independent practice When you are finished check the solutions with your teacher 1 Identify the relationship shown below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 3 Identify the relationship below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 2 Identify the relationship shown below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 4 What is the measurement of the missing angle 65
Congruence Stmt Reason E U V W VA Y X 0 J gruence Stmt Congruence Stmt Reason 11 M Congruence Stmt K L V M Congruence Stmt Reason 12 D Congruence Stmt E F
Geometry
Coordinate system
Congruence Stmt Reason E U V W VA Y X 0 J gruence Stmt Congruence Stmt Reason 11 M Congruence Stmt K L V M Congruence Stmt Reason 12 D Congruence Stmt E F
Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Geometry
Coordinate system
Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Geometry
Coordinate system
Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
add the current expense to expenses expenses append int line colors gold yellowgreen lightcoral lightskyblue green red plot the pie chart plt pie expenses labels categories colors shadow True colors autopct 1 1f startangle 140 set the axis as equsl plt axis equal display the chart plt show 1000 235 5600 800 480 758 Ligue 1 Ment Gas Sample Output Files imput Car Payment input txt Mic RON clothing
Geometry
Coordinate system
add the current expense to expenses expenses append int line colors gold yellowgreen lightcoral lightskyblue green red plot the pie chart plt pie expenses labels categories colors shadow True colors autopct 1 1f startangle 140 set the axis as equsl plt axis equal display the chart plt show 1000 235 5600 800 480 758 Ligue 1 Ment Gas Sample Output Files imput Car Payment input txt Mic RON clothing
Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Geometry
Coordinate system
Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Description Common Shares Contibuted Surplus Recained Emings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
Geometry
Coordinate system
Description Common Shares Contibuted Surplus Recained Emings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable
A DCM boost converter is to be designed to operate under the following conditions 18 V V 36 V 5 W Pload 100 W V 48 V fs 150 kHz You may assume that a feedback loop is in place that changes the transistor duty cycle as necessary to maintain a constant output voltage of 48 Design the converter subject to the following specifications The converter should operate in the discontinuous conduction mode at all times To ensure an adequate design margin the inductance L should be chosen such that K is no greater than 75 of Kerit at all operating points Given the above requirements choose the element values to minimise the peak inductor current The output voltage peak ripple should be less than 1V Specify a The inductor value L b The output capacitor value C c The worst case peak inductor current peak
Geometry
Coordinate system
A DCM boost converter is to be designed to operate under the following conditions 18 V V 36 V 5 W Pload 100 W V 48 V fs 150 kHz You may assume that a feedback loop is in place that changes the transistor duty cycle as necessary to maintain a constant output voltage of 48 Design the converter subject to the following specifications The converter should operate in the discontinuous conduction mode at all times To ensure an adequate design margin the inductance L should be chosen such that K is no greater than 75 of Kerit at all operating points Given the above requirements choose the element values to minimise the peak inductor current The output voltage peak ripple should be less than 1V Specify a The inductor value L b The output capacitor value C c The worst case peak inductor current peak
For the below problem you will need to reference the Kodak Anthropometry pdf file provided on Canvas Neatly show all work for partial credit 1 A desk is 30 inches tall The desk chair has a seat height of 20 inches For keyboard work it is recommended that resting elbow height be between 1 inch above and 2 inches below the J key on the keyboard Using the Kodak data what percentile range of males and what percentile range of females will fit this workstation Assume that the J key is 0 5 inches above the desk and that a footrest is provided for workers with shorter legs easurement TANDING 1 Forward functional reach a Includes body depth at shoulder b Acromial process to functional pinch c Abdominal extension to functional pinch Abdominal extension depth B Waist height 3 Popliteal height 9 Leg length Tibial height 5 Knuckle height 5 Elbow height Shoulder height B Eye height Stature D Functional overhead reach ATED 1 Thigh clearance height 2 Elbow rest height 3 Midshoulder height 4 Eye height 5 Sitting height normal 5 Functional overhead reach 7 Knee height Males Females 50th 1 1 50th percentile S D percentile S D 32 5 31 2 26 9 24 4 9 1 41 9 41 3 17 9 29 7 43 5 45 1 5 8 9 5 1 9 29 2 2 2 28 1 1 7 24 6 24 5 31 0 34 1 50 6 21 3 17 2 41 4 3 5 0 8 2 1 2 1 1 1 1 6 1 8 2 5 56 6 57 6 64 7 68 7 12 6 69 9 2 6 82 5 3 3 2 4 3 1 24 0 6 1 3 1 2 1 4 15 3 3 1 1 1 0 1 9 23 8 8 2 40 0 38 8 16 5 28 0 40 4 42 2 51 9 56 3 39 6 63 8 64 8 78 4 4 9 9 1 22 8 29 0 32 2 47 2 20 1 16 2 39 6 1 5 27 2 30 7 35 0 1 7 25 7 29 5 34 1 13 22 6 25 6 29 3 2 6 19 1 24 1 29 3 0 8 7 1 8 7 2 0 37 4 40 9 2 2 35 8 39 9 0 9 15 3 17 2 Population Percentiles 50 50 Males Females 5th 50th 95th 1 6 1 4 2 7 38 5 25 9 28 8 38 0 42 0 43 6 54 4 59 7 49 8 55 3 61 6 56 8 62 1 67 8 60 8 66 2 72 0 61 1 67 1 74 3 3 4 74 0 80 5 86 9 2 7 48 4 2 6 2 2 2 4 2 8 0 5 1 2 4 3 7 3 1 0 21 4 1 2 27 4 5 3 9 3 23 6 29 9 10 2 44 7 44 5 19 4 31 9 45 8 48 6 1 6 32 0 34 6 2 6 43 6 48 7 1 0 18 7 20 7 0 7 15 1 16 6 1 7 37 3 40 6 5 11 4 26 1 32 8 37 4 54 8
Geometry
Coordinate system
For the below problem you will need to reference the Kodak Anthropometry pdf file provided on Canvas Neatly show all work for partial credit 1 A desk is 30 inches tall The desk chair has a seat height of 20 inches For keyboard work it is recommended that resting elbow height be between 1 inch above and 2 inches below the J key on the keyboard Using the Kodak data what percentile range of males and what percentile range of females will fit this workstation Assume that the J key is 0 5 inches above the desk and that a footrest is provided for workers with shorter legs easurement TANDING 1 Forward functional reach a Includes body depth at shoulder b Acromial process to functional pinch c Abdominal extension to functional pinch Abdominal extension depth B Waist height 3 Popliteal height 9 Leg length Tibial height 5 Knuckle height 5 Elbow height Shoulder height B Eye height Stature D Functional overhead reach ATED 1 Thigh clearance height 2 Elbow rest height 3 Midshoulder height 4 Eye height 5 Sitting height normal 5 Functional overhead reach 7 Knee height Males Females 50th 1 1 50th percentile S D percentile S D 32 5 31 2 26 9 24 4 9 1 41 9 41 3 17 9 29 7 43 5 45 1 5 8 9 5 1 9 29 2 2 2 28 1 1 7 24 6 24 5 31 0 34 1 50 6 21 3 17 2 41 4 3 5 0 8 2 1 2 1 1 1 1 6 1 8 2 5 56 6 57 6 64 7 68 7 12 6 69 9 2 6 82 5 3 3 2 4 3 1 24 0 6 1 3 1 2 1 4 15 3 3 1 1 1 0 1 9 23 8 8 2 40 0 38 8 16 5 28 0 40 4 42 2 51 9 56 3 39 6 63 8 64 8 78 4 4 9 9 1 22 8 29 0 32 2 47 2 20 1 16 2 39 6 1 5 27 2 30 7 35 0 1 7 25 7 29 5 34 1 13 22 6 25 6 29 3 2 6 19 1 24 1 29 3 0 8 7 1 8 7 2 0 37 4 40 9 2 2 35 8 39 9 0 9 15 3 17 2 Population Percentiles 50 50 Males Females 5th 50th 95th 1 6 1 4 2 7 38 5 25 9 28 8 38 0 42 0 43 6 54 4 59 7 49 8 55 3 61 6 56 8 62 1 67 8 60 8 66 2 72 0 61 1 67 1 74 3 3 4 74 0 80 5 86 9 2 7 48 4 2 6 2 2 2 4 2 8 0 5 1 2 4 3 7 3 1 0 21 4 1 2 27 4 5 3 9 3 23 6 29 9 10 2 44 7 44 5 19 4 31 9 45 8 48 6 1 6 32 0 34 6 2 6 43 6 48 7 1 0 18 7 20 7 0 7 15 1 16 6 1 7 37 3 40 6 5 11 4 26 1 32 8 37 4 54 8
Q1 Step 1 enter all data with the reference names in excel sheet Step 2 calculating average of the respective columns formulae used average all values in the column Step 3 calculating weighted averages multiplying averages with percentage Final total was 81 80 785 which is grade B Q2 So we will change the values in exem1 and check the total We need to find the least value in exem1 where grade dosen t change so total has to be greater than 79 5 At exem 1 score 70 we get total as 79 585 80 so the least is 70 Grade doesn t change for 6 less points then 76 Q3 So student didn t do any online reviews so avg of online reviews 0 then total will become 77 785 78 so grade will be affected so grade changes to C Q4 Redo assignments that is not exems So they are online reviews projects homeworks quizs if we consider the best possible outcome scoring full marks in these things so there averages will be 100 so changing the average to 100 we get final total 89 2 89 Grade B So he wouldn t increase his grade even if he redo Q5 As there are 20 homeworks and total percentage of homework is 10 Changin one homework dosen t affect at all There is no reason to ask for this as the grade dosen t change for one homework
Geometry
Coordinate system
Q1 Step 1 enter all data with the reference names in excel sheet Step 2 calculating average of the respective columns formulae used average all values in the column Step 3 calculating weighted averages multiplying averages with percentage Final total was 81 80 785 which is grade B Q2 So we will change the values in exem1 and check the total We need to find the least value in exem1 where grade dosen t change so total has to be greater than 79 5 At exem 1 score 70 we get total as 79 585 80 so the least is 70 Grade doesn t change for 6 less points then 76 Q3 So student didn t do any online reviews so avg of online reviews 0 then total will become 77 785 78 so grade will be affected so grade changes to C Q4 Redo assignments that is not exems So they are online reviews projects homeworks quizs if we consider the best possible outcome scoring full marks in these things so there averages will be 100 so changing the average to 100 we get final total 89 2 89 Grade B So he wouldn t increase his grade even if he redo Q5 As there are 20 homeworks and total percentage of homework is 10 Changin one homework dosen t affect at all There is no reason to ask for this as the grade dosen t change for one homework
Complete the identity tan x 1 sec Choose the correct answer below OA OC cos a OE OG sin a 1 CSC sin a B csc D cos a OF sec a H sec a
Geometry
Coordinate system
Complete the identity tan x 1 sec Choose the correct answer below OA OC cos a OE OG sin a 1 CSC sin a B csc D cos a OF sec a H sec a
10 A function has a vertical asymptote at x 3 and is concave up when x 3 Determine lim f x and explain X 3 your reasoning
Geometry
Coordinate system
10 A function has a vertical asymptote at x 3 and is concave up when x 3 Determine lim f x and explain X 3 your reasoning
Watch the video that describes finding trigonometric function values of 0 given information about 20 Click here to watch the video Given that cos 2x with x r determine the exact value cos x 1 5 I 2 cOS X Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators
Geometry
Coordinate system
Watch the video that describes finding trigonometric function values of 0 given information about 20 Click here to watch the video Given that cos 2x with x r determine the exact value cos x 1 5 I 2 cOS X Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators
find the exact value of the expression type an exact answer in simplified form sin sin 1 12 13 cos 1 5 13 why would sin alpha be positive in quadrant I and II but cos beta be negative in quadrant II and III
Geometry
Coordinate system
find the exact value of the expression type an exact answer in simplified form sin sin 1 12 13 cos 1 5 13 why would sin alpha be positive in quadrant I and II but cos beta be negative in quadrant II and III
Use the given below to answer items 4 and 5 Given 4 distinct points W X Y Z on a line o To prove that there exists a projectivity which camies W X Y Z into X W 2 consider the outline of the prof given below Proof Project the points W X Y Z from point A not on a Section by b distinct from a and AY on Y and obtain the points W X Y Z so that that Y Y Join W and X meeting A2 rat 2 4 Draw the figure with the conditions in the given and in the outline of the proof stated above 5 Supply the missing basis of each pencil and center of perspectivity that are established below W X Y Z 2 AZZ X W Z Y WXY 2
Geometry
Coordinate system
Use the given below to answer items 4 and 5 Given 4 distinct points W X Y Z on a line o To prove that there exists a projectivity which camies W X Y Z into X W 2 consider the outline of the prof given below Proof Project the points W X Y Z from point A not on a Section by b distinct from a and AY on Y and obtain the points W X Y Z so that that Y Y Join W and X meeting A2 rat 2 4 Draw the figure with the conditions in the given and in the outline of the proof stated above 5 Supply the missing basis of each pencil and center of perspectivity that are established below W X Y Z 2 AZZ X W Z Y WXY 2
Identify each pair of angles as complementary supplementary linear vertical or adjacent Use the Angle Pair Definitions to help you Keep in mind that there may be more than one answer for each exercise 3 5 123 57 4
Geometry
Coordinate system
Identify each pair of angles as complementary supplementary linear vertical or adjacent Use the Angle Pair Definitions to help you Keep in mind that there may be more than one answer for each exercise 3 5 123 57 4
From the previous page use the Paragraph Proof of the Vertical Angles Theorem to write a two column proof of the Vertical Angles Theorem Refer to the reason bank below C Given 21 and 23 are vertical angles Prove 41 23 Two Column Proof of the Vertical Angles Theorem Statements 1 21 and 23 are vertical angles 2 21 and 22 are a linear pair and 22 and 23 are a linear pair 3 21 and 22 are supplementary and 22 and 23 are supplementary 4 m21 m2 180 and m22 m23 180 5 mz1 m2 mc2 m23 6 m21 m23 7 21 23 Reason Bank Subtraction Property of Equality Reasons Definition of Linear Pair 1 2 3 4 5 6 7 Definition of Congruence Linear Pair Theorem Definition of Supplementary Angles 4 3 Transitive Property of Equality Given
Geometry
Coordinate system
From the previous page use the Paragraph Proof of the Vertical Angles Theorem to write a two column proof of the Vertical Angles Theorem Refer to the reason bank below C Given 21 and 23 are vertical angles Prove 41 23 Two Column Proof of the Vertical Angles Theorem Statements 1 21 and 23 are vertical angles 2 21 and 22 are a linear pair and 22 and 23 are a linear pair 3 21 and 22 are supplementary and 22 and 23 are supplementary 4 m21 m2 180 and m22 m23 180 5 mz1 m2 mc2 m23 6 m21 m23 7 21 23 Reason Bank Subtraction Property of Equality Reasons Definition of Linear Pair 1 2 3 4 5 6 7 Definition of Congruence Linear Pair Theorem Definition of Supplementary Angles 4 3 Transitive Property of Equality Given
Understanding how weighted averages work will be a very important topic for you in this course since your grades are determined in this way In this project you will create an Excel spreadsheet that can calculate a MATH 123 student s final grade You will then write a reflection paper answering several questions regarding your project In this project you are required to do the following 1 Create a Microsoft Excel spreadsheet file that will be capable of cakulating a student s final grade in this course Keep in mind that weighting by percentages is used in determining the final grade o Open a new Excel spreadsheet file Create 4 additional sheets in Excel 5 sheets total How to create a new sheet in an Excel file Click on the plus sign at the bottom of the page Copy and paste the original spreadsheet into the new sheet before making changes Rename the new sheets appropriatelybyright clicking on the sheet name and selecting Rename Use the
Geometry
Coordinate system
Understanding how weighted averages work will be a very important topic for you in this course since your grades are determined in this way In this project you will create an Excel spreadsheet that can calculate a MATH 123 student s final grade You will then write a reflection paper answering several questions regarding your project In this project you are required to do the following 1 Create a Microsoft Excel spreadsheet file that will be capable of cakulating a student s final grade in this course Keep in mind that weighting by percentages is used in determining the final grade o Open a new Excel spreadsheet file Create 4 additional sheets in Excel 5 sheets total How to create a new sheet in an Excel file Click on the plus sign at the bottom of the page Copy and paste the original spreadsheet into the new sheet before making changes Rename the new sheets appropriatelybyright clicking on the sheet name and selecting Rename Use the
I has a payload of 50000 lbs The haul road is 5000 feet long with a rolling resistance estimated to be 100 pounds per ton and a coefficient of traction of 0 5 The haul road has an uphill of 3 when traveling from the load site to the dump site 65 of the loaded weight is carried by the rear driving wheels and 42 of the empty truck weight is carried by the driving whes Estimate the Rimpull available in the loaded truck and empty trucks Also estimate the speed of the truck with load using the performance curve and travel time of truck with load
Geometry
Coordinate system
I has a payload of 50000 lbs The haul road is 5000 feet long with a rolling resistance estimated to be 100 pounds per ton and a coefficient of traction of 0 5 The haul road has an uphill of 3 when traveling from the load site to the dump site 65 of the loaded weight is carried by the rear driving wheels and 42 of the empty truck weight is carried by the driving whes Estimate the Rimpull available in the loaded truck and empty trucks Also estimate the speed of the truck with load using the performance curve and travel time of truck with load
unterclockwise rotation of 270 about the origin 1 point 11 4 2 2 0 2 y 1 and T 2 1 Draw and label the image after a 2 Transformation Rule Preimage Coordinates x y Image
Geometry
Coordinate system
unterclockwise rotation of 270 about the origin 1 point 11 4 2 2 0 2 y 1 and T 2 1 Draw and label the image after a 2 Transformation Rule Preimage Coordinates x y Image
For the below problem you will need to reference the Kodak Anthropometry pdf file provided on Canvas Neatly show all work for partial credit 1 A desk is 30 inches tall The desk chair has a seat height of 20 inches For keyboard work it is recommended that resting elbow height be between 1 inch above and 2 inches below the J key on the keyboard Using the Kodak data what percentile range of males and what percentile range of females will fit this workstation Assume that the J key is 0 5 inches above the desk and that a footrest is provided for workers with shorter legs easurement TANDING 1 Forward functional reach a Includes body depth at shoulder b Acromial process to functional pinch c Abdominal extension to functional pinch Abdominal extension depth B Waist height 3 Popliteal height 9 Leg length Tibial height 5 Knuckle height 5 Elbow height Shoulder height B Eye height Stature D Functional overhead reach ATED 1 Thigh clearance height 2 Elbow rest height 3 Midshoulder height 4 Eye height 5 Sitting height normal 5 Functional overhead reach 7 Knee height Males Females 50th 1 1 50th percentile S D percentile S D 32 5 31 2 26 9 24 4 9 1 41 9 41 3 17 9 29 7 43 5 45 1 5 8 9 5 1 9 29 2 2 2 28 1 1 7 24 6 24 5 31 0 34 1 50 6 21 3 17 2 41 4 3 5 0 8 2 1 2 1 1 1 1 6 1 8 2 5 56 6 57 6 64 7 68 7 12 6 69 9 2 6 82 5 3 3 2 4 3 1 24 0 6 1 3 1 2 1 4 15 3 3 1 1 1 0 1 9 23 8 8 2 40 0 38 8 16 5 28 0 40 4 42 2 51 9 56 3 39 6 63 8 64 8 78 4 4 9 9 1 22 8 29 0 32 2 47 2 20 1 16 2 39 6 1 5 27 2 30 7 35 0 1 7 25 7 29 5 34 1 13 22 6 25 6 29 3 2 6 19 1 24 1 29 3 0 8 7 1 8 7 2 0 37 4 40 9 2 2 35 8 39 9 0 9 15 3 17 2 Population Percentiles 50 50 Males Females 5th 50th 95th 1 6 1 4 2 7 38 5 25 9 28 8 38 0 42 0 43 6 54 4 59 7 49 8 55 3 61 6 56 8 62 1 67 8 60 8 66 2 72 0 61 1 67 1 74 3 3 4 74 0 80 5 86 9 2 7 48 4 2 6 2 2 2 4 2 8 0 5 1 2 4 3 7 3 1 0 21 4 1 2 27 4 5 3 9 3 23 6 29 9 10 2 44 7 44 5 19 4 31 9 45 8 48 6 1 6 32 0 34 6 2 6 43 6 48 7 1 0 18 7 20 7 0 7 15 1 16 6 1 7 37 3 40 6 5 11 4 26 1 32 8 37 4 54 8
Geometry
Coordinate system
For the below problem you will need to reference the Kodak Anthropometry pdf file provided on Canvas Neatly show all work for partial credit 1 A desk is 30 inches tall The desk chair has a seat height of 20 inches For keyboard work it is recommended that resting elbow height be between 1 inch above and 2 inches below the J key on the keyboard Using the Kodak data what percentile range of males and what percentile range of females will fit this workstation Assume that the J key is 0 5 inches above the desk and that a footrest is provided for workers with shorter legs easurement TANDING 1 Forward functional reach a Includes body depth at shoulder b Acromial process to functional pinch c Abdominal extension to functional pinch Abdominal extension depth B Waist height 3 Popliteal height 9 Leg length Tibial height 5 Knuckle height 5 Elbow height Shoulder height B Eye height Stature D Functional overhead reach ATED 1 Thigh clearance height 2 Elbow rest height 3 Midshoulder height 4 Eye height 5 Sitting height normal 5 Functional overhead reach 7 Knee height Males Females 50th 1 1 50th percentile S D percentile S D 32 5 31 2 26 9 24 4 9 1 41 9 41 3 17 9 29 7 43 5 45 1 5 8 9 5 1 9 29 2 2 2 28 1 1 7 24 6 24 5 31 0 34 1 50 6 21 3 17 2 41 4 3 5 0 8 2 1 2 1 1 1 1 6 1 8 2 5 56 6 57 6 64 7 68 7 12 6 69 9 2 6 82 5 3 3 2 4 3 1 24 0 6 1 3 1 2 1 4 15 3 3 1 1 1 0 1 9 23 8 8 2 40 0 38 8 16 5 28 0 40 4 42 2 51 9 56 3 39 6 63 8 64 8 78 4 4 9 9 1 22 8 29 0 32 2 47 2 20 1 16 2 39 6 1 5 27 2 30 7 35 0 1 7 25 7 29 5 34 1 13 22 6 25 6 29 3 2 6 19 1 24 1 29 3 0 8 7 1 8 7 2 0 37 4 40 9 2 2 35 8 39 9 0 9 15 3 17 2 Population Percentiles 50 50 Males Females 5th 50th 95th 1 6 1 4 2 7 38 5 25 9 28 8 38 0 42 0 43 6 54 4 59 7 49 8 55 3 61 6 56 8 62 1 67 8 60 8 66 2 72 0 61 1 67 1 74 3 3 4 74 0 80 5 86 9 2 7 48 4 2 6 2 2 2 4 2 8 0 5 1 2 4 3 7 3 1 0 21 4 1 2 27 4 5 3 9 3 23 6 29 9 10 2 44 7 44 5 19 4 31 9 45 8 48 6 1 6 32 0 34 6 2 6 43 6 48 7 1 0 18 7 20 7 0 7 15 1 16 6 1 7 37 3 40 6 5 11 4 26 1 32 8 37 4 54 8
For the below problem you will need to reference the Kodak Anthropometry pdf file provided on Canvas Neatly show all work for partial credit 1 A desk is 30 inches tall The desk chair has a seat height of 20 inches For keyboard work it is recommended that resting elbow height be between 1 inch above and 2 inches below the J key on the keyboard Using the Kodak data what percentile range of males and what percentile range of females will fit this workstation Assume that the J key is 0 5 inches above the desk and that a footrest is provided for workers with shorter legs easurement TANDING 1 Forward functional reach a Includes body depth at shoulder b Acromial process to functional pinch c Abdominal extension to functional pinch Abdominal extension depth B Waist height 3 Popliteal height 9 Leg length Tibial height 5 Knuckle height 5 Elbow height Shoulder height B Eye height Stature D Functional overhead reach ATED 1 Thigh clearance height 2 Elbow rest height 3 Midshoulder height 4 Eye height 5 Sitting height normal 5 Functional overhead reach 7 Knee height Males Females 50th 1 1 50th percentile S D percentile S D 32 5 31 2 26 9 24 4 9 1 41 9 41 3 17 9 29 7 43 5 45 1 5 8 9 5 1 9 29 2 2 2 28 1 1 7 24 6 24 5 31 0 34 1 50 6 21 3 17 2 41 4 3 5 0 8 2 1 2 1 1 1 1 6 1 8 2 5 56 6 57 6 64 7 68 7 12 6 69 9 2 6 82 5 3 3 2 4 3 1 24 0 6 1 3 1 2 1 4 15 3 3 1 1 1 0 1 9 23 8 8 2 40 0 38 8 16 5 28 0 40 4 42 2 51 9 56 3 39 6 63 8 64 8 78 4 4 9 9 1 22 8 29 0 32 2 47 2 20 1 16 2 39 6 1 5 27 2 30 7 35 0 1 7 25 7 29 5 34 1 13 22 6 25 6 29 3 2 6 19 1 24 1 29 3 0 8 7 1 8 7 2 0 37 4 40 9 2 2 35 8 39 9 0 9 15 3 17 2 Population Percentiles 50 50 Males Females 5th 50th 95th 1 6 1 4 2 7 38 5 25 9 28 8 38 0 42 0 43 6 54 4 59 7 49 8 55 3 61 6 56 8 62 1 67 8 60 8 66 2 72 0 61 1 67 1 74 3 3 4 74 0 80 5 86 9 2 7 48 4 2 6 2 2 2 4 2 8 0 5 1 2 4 3 7 3 1 0 21 4 1 2 27 4 5 3 9 3 23 6 29 9 10 2 44 7 44 5 19 4 31 9 45 8 48 6 1 6 32 0 34 6 2 6 43 6 48 7 1 0 18 7 20 7 0 7 15 1 16 6 1 7 37 3 40 6 5 11 4 26 1 32 8 37 4 54 8
Geometry
Coordinate system
For the below problem you will need to reference the Kodak Anthropometry pdf file provided on Canvas Neatly show all work for partial credit 1 A desk is 30 inches tall The desk chair has a seat height of 20 inches For keyboard work it is recommended that resting elbow height be between 1 inch above and 2 inches below the J key on the keyboard Using the Kodak data what percentile range of males and what percentile range of females will fit this workstation Assume that the J key is 0 5 inches above the desk and that a footrest is provided for workers with shorter legs easurement TANDING 1 Forward functional reach a Includes body depth at shoulder b Acromial process to functional pinch c Abdominal extension to functional pinch Abdominal extension depth B Waist height 3 Popliteal height 9 Leg length Tibial height 5 Knuckle height 5 Elbow height Shoulder height B Eye height Stature D Functional overhead reach ATED 1 Thigh clearance height 2 Elbow rest height 3 Midshoulder height 4 Eye height 5 Sitting height normal 5 Functional overhead reach 7 Knee height Males Females 50th 1 1 50th percentile S D percentile S D 32 5 31 2 26 9 24 4 9 1 41 9 41 3 17 9 29 7 43 5 45 1 5 8 9 5 1 9 29 2 2 2 28 1 1 7 24 6 24 5 31 0 34 1 50 6 21 3 17 2 41 4 3 5 0 8 2 1 2 1 1 1 1 6 1 8 2 5 56 6 57 6 64 7 68 7 12 6 69 9 2 6 82 5 3 3 2 4 3 1 24 0 6 1 3 1 2 1 4 15 3 3 1 1 1 0 1 9 23 8 8 2 40 0 38 8 16 5 28 0 40 4 42 2 51 9 56 3 39 6 63 8 64 8 78 4 4 9 9 1 22 8 29 0 32 2 47 2 20 1 16 2 39 6 1 5 27 2 30 7 35 0 1 7 25 7 29 5 34 1 13 22 6 25 6 29 3 2 6 19 1 24 1 29 3 0 8 7 1 8 7 2 0 37 4 40 9 2 2 35 8 39 9 0 9 15 3 17 2 Population Percentiles 50 50 Males Females 5th 50th 95th 1 6 1 4 2 7 38 5 25 9 28 8 38 0 42 0 43 6 54 4 59 7 49 8 55 3 61 6 56 8 62 1 67 8 60 8 66 2 72 0 61 1 67 1 74 3 3 4 74 0 80 5 86 9 2 7 48 4 2 6 2 2 2 4 2 8 0 5 1 2 4 3 7 3 1 0 21 4 1 2 27 4 5 3 9 3 23 6 29 9 10 2 44 7 44 5 19 4 31 9 45 8 48 6 1 6 32 0 34 6 2 6 43 6 48 7 1 0 18 7 20 7 0 7 15 1 16 6 1 7 37 3 40 6 5 11 4 26 1 32 8 37 4 54 8
COMPANY table Write a query to print the IDs of the companies that have more than 10000 employees in ascending order of ID Input Format Name ID NAME EMPLOYEES Type Integer String Integer COMPANY Description A company ID in the inclusive range 1 1000 This is the primary key A company name This field contains between 1 and 100 characters inclusive The total number of employees in the company Output Format The result should contain the IDs of all the companies that have more than 10000 employees in
Geometry
Coordinate system
COMPANY table Write a query to print the IDs of the companies that have more than 10000 employees in ascending order of ID Input Format Name ID NAME EMPLOYEES Type Integer String Integer COMPANY Description A company ID in the inclusive range 1 1000 This is the primary key A company name This field contains between 1 and 100 characters inclusive The total number of employees in the company Output Format The result should contain the IDs of all the companies that have more than 10000 employees in
Sunn Company manufactures a single product that sells for 110 per unit and whose variable costs are 88 per unit The company s annual fixed costs are 308 000 Management targets an annual income of 550 000 1 Compute the unit sales to earn the target income Numerator 1 X 1 308 000 x 1 Fixed costs Answer is complete but not entirely correct Fixed costs Denominator Contribution margin per unit 2 Compute the dollar sales to earn the target income Numerator I X 1 308 000x 1 Denominator Contribution margin per unit E 550 000 X 100 X X B E Units to Achieve Target Units to achieve target 1 units Dollars to Achieve Target Dollars to achieve target 308 000
Geometry
Coordinate system
Sunn Company manufactures a single product that sells for 110 per unit and whose variable costs are 88 per unit The company s annual fixed costs are 308 000 Management targets an annual income of 550 000 1 Compute the unit sales to earn the target income Numerator 1 X 1 308 000 x 1 Fixed costs Answer is complete but not entirely correct Fixed costs Denominator Contribution margin per unit 2 Compute the dollar sales to earn the target income Numerator I X 1 308 000x 1 Denominator Contribution margin per unit E 550 000 X 100 X X B E Units to Achieve Target Units to achieve target 1 units Dollars to Achieve Target Dollars to achieve target 308 000
Q T at math R R 2 4 S 10 Q 0 4 T 0 2 Gauthmath It s Tracing point
Geometry
Coordinate system
Q T at math R R 2 4 S 10 Q 0 4 T 0 2 Gauthmath It s Tracing point
Given the BJT data and circuit diagram shown in Figure 1 calculate the total power losses in the BJT when used to switch an inductive load across a 400 V dc supply at I 0 kHz Assume that the inductance of the load is large so that the load current is constant with a value of 10 A and the transistor is in the on state and off state for the same length of duration Neglect the on state voltage drop of the diode and the effects of trn and Toff on the static losses SURNAME FIRST NAME MI STUDENT NUMBER 20XX XXXXX XX X DIT DO ANA OTO
Geometry
Coordinate system
Given the BJT data and circuit diagram shown in Figure 1 calculate the total power losses in the BJT when used to switch an inductive load across a 400 V dc supply at I 0 kHz Assume that the inductance of the load is large so that the load current is constant with a value of 10 A and the transistor is in the on state and off state for the same length of duration Neglect the on state voltage drop of the diode and the effects of trn and Toff on the static losses SURNAME FIRST NAME MI STUDENT NUMBER 20XX XXXXX XX X DIT DO ANA OTO
U S R nd mZUSW if mZUSW 7x 34 and mZTSR 4x 29
Geometry
Coordinate system
U S R nd mZUSW if mZUSW 7x 34 and mZTSR 4x 29
1 Parallel Line Construction For this part of the assignment you will construct a parallel line through a given line and point First draw a segment AB and point C on your paper Next construct a line through point C that is parallel to AB Label all points and lines used in the construction 2 Perpendicular Line Construction For this part of the assignment you will construct a perpendicular line to a given segment that passes through a given point First draw a segment AB on your paper Draw a point C above that line Construct a perpendicular line through segment AB and point C Label all points and lines used in the construction
Geometry
Coordinate system
1 Parallel Line Construction For this part of the assignment you will construct a parallel line through a given line and point First draw a segment AB and point C on your paper Next construct a line through point C that is parallel to AB Label all points and lines used in the construction 2 Perpendicular Line Construction For this part of the assignment you will construct a perpendicular line to a given segment that passes through a given point First draw a segment AB on your paper Draw a point C above that line Construct a perpendicular line through segment AB and point C Label all points and lines used in the construction
Find the absolute maximum and minimum if either exists for the function on the indicated interval f x x 2 x 6 2 A 0 4 B 1 7 C 4 8 A Find the absolute maximum Select the correct choice below and if necessary fill in the answer boxes to complete your choic OA The absolute maximum is at x Use a comma to separate answers as needed OB There is no absolute maximum
Geometry
Coordinate system
Find the absolute maximum and minimum if either exists for the function on the indicated interval f x x 2 x 6 2 A 0 4 B 1 7 C 4 8 A Find the absolute maximum Select the correct choice below and if necessary fill in the answer boxes to complete your choic OA The absolute maximum is at x Use a comma to separate answers as needed OB There is no absolute maximum
Which line is perpendicular to AB line 1 6 4 2 8 6 4 2 O 2 line 2 B line 3 8 line 4
Geometry
Coordinate system
Which line is perpendicular to AB line 1 6 4 2 8 6 4 2 O 2 line 2 B line 3 8 line 4