Coordinate system Questions and Answers

Rewrite the expression as a single logarithm and simplify the result Hint Begin by using the properties of logarithms 7 In cott 7 In 1 tan t

Describe a pattern in the sequence of numbers Predict the next number 5 2 6 18 54 6 0 1 4 9 7 256 64 16 4 8 3 0 3 0 3 0 9 7 0 7 5 8 0 8 5 10 13 7 1 5

Sketch the next figure in the pattern 3 ADO 4

Charles RYE Bushels Dina On the following graph use the blue line circle symbol to plot Charles s production possibilities curve PPF and use the purple line diamond symbol to plot Dina s PPF 200 180 160 140 120 100 80 60 40 20 0 4 Corn Bushels per acre 40 28 0 100 Rye Bushels per acre 8 7 200 300 400 500 600 CORN Bushels 700 800 900 1000 Charles s PPF Dina s PPF

16 Given c d and 3 24 Prove 42 24 Statement Reason

Complete the two column proof 17 Given l 2 and 21 23 Prove j k Statement 12 2 1 Es bns b305 3 11m91512 Reason

Based on the diagram determine if the statement is True or False 1 2 3 4 5 6 7 28 218 are alternate interior angles 214 223 are same side exterior angles 414 220 42 26 24 210 23 216 are supplementary 222 224 Call 12 4 3 S6 8 13 14 1615 9 10 11 12 17 18 20 19 21 22 24 23

Based on the diagram determine whether each 48 46 1 132 46 132 8 9 10 1 11 12 cll f cll d clle dlle all b

R B 90 c 106 02 D Transversal CD cuts parallel lines PQ and RS at points X and Y as shown in the diagram If m2CXP 106 02 what is m SYD OA 73 98 OD 180 S

Question 10 Write a logarithmic equation corresponding to the graph shown The dashed line indicates the asymptote of the function Use y log x as the parent function 7 6 V 4 3 2 1 7 6 5 4 3 2 1 1 2 3 4 5 6 7 X 12 3 4 5 6 7

WS Mix with Algebra Systems of Equations and Quadratics 1 Triangle MNP and OMNare equilateral triangles What method can be used to verify the triangles are congruent Find the value of x and y 3X 12 X 4 M 3x 12 3 In triangle ABC AD is the perpendicular bisector of BC AB 25 AC 3x 5 and mLADC y 35 What method can be used to verify the triangles are congruent Find the value of x and y 4 What method can be used to verify the triangles are congruent If RQ 5x 2 RS 3x 8 and PQ 2x 4 find the value of xand all sides 3y 6 O x 4 2 Triangle ABC and DEFhave the following properties ABDE BC EF and LB LE If AB 27 BC 4 DE 7x 3y and EF 2x y What method can be used to verify the triangles are congruent Find the value of xand y N A B D C

1 Draw the segment PQ with endpoints P 2 1 and Q 2 4 on the coordinate plane 2 Find the midpoint of PQ 3 Find the length of PQ Learning Goal 4 2 ty 4 2 0 2 4 2

Calculate the length between the following points using the distance formula 1 6 and 7 14 10 Calculate the length between the following points using the distance formula 3 2 and 9 3

7 What is the midpoint for a segment with the following endpoints 4 5 and 10 3 8 What is the midpoint for a segment with the following endpoints 2 3 and 11 20 2

ANALYZING RELATIONSHIPS In the diagram JKLM EFGH Find the values of x y and z H3G 21 11 E 8 F 20 65 K 30 M L

The polygons are similar The area of one polygon is given Find the area of the other polygon 4 cm A 10 cm Area cm 12 cm

Identify the type of transformation What is the image of segment FG

GeoGebra to explore similarity for triangles and similarity transformations Go to similarity for triangles and complete each step below For help watch these short videos about using GeoGebra to measure and transforme figures Part A Find and record the measures of the angles in AABC and ADEF BIV XX 10pt EF Angle Measure Angle Measure ZA ZD 60 ZB ZE 80 20 2F 40 60 BO 40 Space used includes formatting 2047 15000 Hide Sample Answer Angle Measure Angle Measure ZA 4D ZB 20 26 57 135 18 43 ZE 4F 26 57 135 18 43 I Side Length Side Length AB DE Part B Find and record the lengths of the sides in AABC and ADEF Then calculate the ratio of each pair of corresponding sides BIX X 12pt EFE AVE Submitted Pair Ratio DE to AB B

Question 2 10 points 2 A water slide at an amusement park follows the curve y in m y 2 0 2 0 cos 0 53x 0 40 for 0 x 5 0 Find the angle with the horizontal of the slide for x 2 5 m

D Name the transformation that maps the blue pickup truck preimage onto the red pickup image

2 Are the transformations below rigid or non rigid Explain each of your answers in detail o 2

23 rotation 90 clockwise about the origin D P X 24 rotation 180 about the origin Z H Y x

Rotate the figure as indicated Label the image using prime notation digit 19 rotation 180 about the origin nouselts 20 rotation 90 counterclockwise about the co origin Z H N A D Ay W G

24 3 Priya followed this set of instructions to make quadrilateral ACBD Choose a description you can be sure is accurate for the shape she constructed 20 2 2p a Draw 2 points A and B b Draw a circle centered at A with radius A B c Draw a circle centered at B with radius AB d Label the intersection points of the circles C and D Draw segments AC BC AD and BD A 2 congruent sides but not all 4 B 4 congruent angles C 4 congruent sides D 4 congruent sides and 4 congruent angles 4 What is the definition of a circle Figura geom trica delimitada por una circu curva cerrada cuyos puntos equidistan a 5 Triangle ABC is isosceles Use straightedge and compass tools to construct the perpendicular bisector fo segment AB r B

x 3 In the graph below drag the green x intercept s to the correct position s Drag the red vertical asymptote s to the correct position s Drag the two orange points to form the correct slant asymptote Determine several points of the function and drag the blue point to one of these locations Choose a point that is not an x intercept and for which the y coordinate is a multiple of 0 1 Otherwise you won t be able to drag the blue poir to the exact location When finished click CHECK 10 6 2 5 10 5 I 10

2 G GSR 5 2 The accompanying diagram shows two similar triangles A C dant X Which proportion could be used to solve for x 32 12 x 9 15 x 24 32 15 12 x 32 B D 24 9 9 24 15 15 X 12 15

Example 1 Consider the graph G given in Fig 1 15 2 1 2 Subgraph H 3 4 Spanning Subgraph 1 Subgraph of G Fig 1 19 5 5 G Fig 1 16 3 Fig 1 15 2 4 b b 3 3 Fig 1 17 Fig 1 18 Example 2 Consider the Peterson graph G given in Fig 1 4 5 Co a a Ve 13 Subgraph H 3d d 4 Induced subgraph of G Fig 1 20 e 5 5 Induced Subgraph Fig 1 4 5 Fig 1 21 Spanning Subgraph of EXI be e 3

Street C is perpendicular to Street A and passes through 4 6 Write this street s equation in standard form

Measure and record the lengths of these line segments in the original logo Then set n 0 5 and n 2 and record the lengths of the corresponding line segments in each resulting image BIY X X 14pt E Line Segment 13 1814 LK GB AH Original Length Space used includes formatting 954 15000 6 38 Length After Dilation n 0 5 n 2

In general how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage What effect does the scale factor of the dilation have on the slopes if any BIVX X 15px E

Solve for the value of a 50 8a

A sandbox is being built in a park The diagram shows the four vertices of the sandbox Each unit in the coordinate plane represents 2 fee Find the area of the sandbox 20 16 12 8 4 5 12 4 8 14 12 14 8 12 16

Solve for the value of q 59 5 49 5

Problem 3 A aluminum cylindrical can is being designed to hold a volume of 100 cubic centimeters a Find a formula for the volume of the can in terms of the radius and height of the can b Write a formula for a functions S that models the surface area for the can in terms of the radius only c Suppose the radius is 2 cm evaluate the surface area of the aluminum can Interpret your result d Find the dimensions radius and height that result in the least amount of aluminum used to construct the can to hold a volume of 100 cubic centimeters

Concentration mg ml Tollowing chart Protein Charts A595 y 1 8812x 0 1309 R 0 9758 Protein Charts Linear Protein Charts 26 Is this standard curve appropriate to use Why or why not

Purpose to help you create visual study aids to help you and your classmates develop study methods and compare the concepts in the Unit 7 Objectives For example EE 3 create a concept map double bubble map Venn diagram or compare contrast table draw 2 or more pathways in a way that helps you see similarities and differences make 2 or more drawings or models to show how parts of blood are similar and different Do not post or recreate a picture or resource you found on the internet the optional course materials or another source This will result in zero points

35 What is the measure of the obtuse angle below 4x 45 5x 18

11 Using the cumulative frequency distribution below select the appropriate description of the distribution of weight Cumulative Frequency Weight lbs 101 120 121 140 141 160 161 180 181 200 Uniform Bell shaped O Skewed Right Skewed Left Previous Answer C 2 5 10 18 26

Select the correct answer from each drop down menu 8 A D 6 B A B y axis y x C N D y 6 2 2 Polygon ABCD goes through a sequence of rigid transformations to form polygon A B C D The sequence of transformations inve reflection across the followed by a reflection across the line Reset Next

Enter the correct answer in the box A triangle has side lengths of 200 units and 300 units Write a compound inequality for the range of the possible lengths for the third side x 0 101 d FE sin COS tan

Type the correct answer in the box In triangle ABC which side is the longest if these are the measures of the angles mzA 60 mzB 3x 2 mzC 2x 7 Side is the longest side

3 3 72 5 Type here to search 4 4 5x 2ys10 O ii O 3 4 4 2 4 5 3 5 0 0 4 6

Algebra Prep 2023 Verify Solutions Linear Inequality Determine which point or points are solutions of each linear inequality given 1 1 x y2 3 2 3x Sy 10 2 LLC ALEVIK zoom in 2 A 3 2 4 5 4 2

2 If m29 97 and m 12 114 find the measure of each missing angle a m2i f mz6 b m 2 9 m4 c m23 h m28 d m 4 1 M210 e mz5 1m 11 1 2 3 5 6 910 13 14 8 11 12 15 16 k m 13 1 m 14 m m 15 n m 16

Find the value of x If necessary you may learn what the markings on a figure indicate X 0 X 23 S

For each relation decide whether or not it is a function Domain paper moon chair pen Relation 1 Function Not a function Range Function Not a function 8 Relation 3 s s s k s n s d Domain 8 8 0 2 6 Function Not a function Relation 2 Function Not a function Fange 0 3 9 7 5 Relation 4 9 t 6 z 2 k 2 j

apostatized converted from our holy Catholle faith the great cause of which was interaction between the Jews and these Christians we know that the true remedy for all these injuries and inconveniences was to prohibit all interaction between the said Jews and Christians and banish them Jews from all our kingdoms we desired to content ourselves by commanding them to leave all cities towns and villages of Andalusia where it appears that they have done the greatest injury We resolve to order the said Jews and Jewesses of our kingdoms to depart and never to return or come back And concerning this we command we order all Jews and Jewesses of whatever age they may be who live reside and exist in our said kingdoms depart from all of these our said realms and they shall not dare to return to those places nor to reside in them nor to live in any part of them under pain that if they do not perform and comply with this command they incur the penalty of death and the confiscation of all their possessions by our Chamber of Finance incurring these penalties by the act itself without further trial santence or declaration The Alhambra Edict 1492 32 This order reflects the idea of which time in history 1 Point The Protestant Refomation The Renaissance The Spanish inquisition The Black Death 33 What does the order command of the Jews 1 Point They have to convert to Catholm They will be kiled They have to leave the country They have to pay a fine This question is required 34 According to the document what actions did wicked Christians take that must be stopped 1 Point Enter your answer 35 According to the document what happens to the Jews who refuse the commands of the order 1 Point

Use angle identities to find the following solutions Assume theta is in the second quadrant v111 Use angle fucntities to me 3 cos COS A S

Suppose the graphs of y 2x 10x 7 and y a 15x 992 d intersect at x 5 Find all intersection points Enter your answer s as ordered pairs separated by commas 27

Milan is ordering 3 bags of cat food from Canada Each bag has a mass of 5 kg To determine the shipping costs Milan needs to ow the total weigh pounds What is the weight of the cat food in pounds Use 1 kg 2 2 lb and do not round any computations lb X 00000