Coordinate system Questions and Answers

66 The base of S is a circular disk with radius r Parallel cross sections perpendicular to the base are squares 67 The base of S is an elliptical region with boundary curve 9x 4y 36 Cross sections perpendicular to the z axis are isosceles right triangles with hypotenuse in the base Answer 68 The base of S is the triangular region with vertices 0 0 1 0 and 0 1 Cross sections perpendicular to the y axis equilater

5 Given BC AD Prove ABEC ADEA statement 1 BC 11 AD 2 Reason Given A B

Directions On a separate sheet of paper co 1 Given ZEBA ZCDA BE intersects CD at F A Prove FB FC FD FE B D

are similar write a similarity statement and explain how you know they are similar If they are not similar explain why 4 points each 5 angles E a Yes no these triangles can can t be proved similar b Yes by what Show work OR They are not similar because c Similarity statement example Triangle Triangle 2 6 M a Yes no these triangles can can t be proved similar b Yes by what Show work OR They are not similar because c Similarity statement example Triangle Triangle

Find m STV 10x 5 T 39 40 O 45 35 S 95 U 55x V

Read the passage from Animal Farm B The mystery of where the milk went to was soon cleared up It was mixed every day into the pigs mash The early apples were now ripening and the grass of the orchard was littered with windfalls The animals had assume matter of course that these would be shared out equally one day however the order went forth that all the windfalls were to be collected and brought to the harness room for the use of the pigs At this some of the other an murmured but it was no use All the pigs were in full agreement on this point even Snowball and Napoleon Squealer was sent to make the necessary explanations to the others What is the central idea of this passage The pigs are resolving to share the farm s resources equally among all the animals The other animals are starting to plot against the pigs The pigs are planning to eventually expel the other animals The pigs are exploiting their authority and becoming corrupt

3 SAT Question Systems of Equations Which of the following ordered pairs x y satisfies the system of equations below a 3 2 b 2 2 C 2 2 d 2 2 x y 0 3x 2y 10 W2 TOT

5 Use the graph of 2 z below to answer the following questions d Solve z x 250 e Find the x intercepts of a 100 50 0 50 z x 10 20 X 14

3 Given Given Given XTUY is a parallelogram WV TU ZVWY ZXYW Prove AWZX AYZV Statements 1 XTUY is a parallelogram 2 TU YX 3 WV TU 4 WV YX 5 ZVWY ZXYW 6 WV YX 7 WXYV is a parallelogram 8 WZ YZ VZ XZ 9 ZWZX ZYZV Given Given 2 3 4 1 Given Given 7 8 W 9 Z Reasons Y Given 5 Given 6 Alte interion L S Converse X Segr Segn U D T

A 30 60 90 triangle is shown below Find the length of a and b Leave answer in simplified radical form 12 a b 60 a b

7 In the following diagram C 30 150 D y A i Value of y ii Value of z as a simplified radical Z 60 B

In the triangle shown below find the value of a a 45 9 2 a

A small radio transmitter broadcasts in a 36 mile radius If you drive along a straight line from a city 41 miles north of the transmitter to a second city 44 miles east of the transmitter during how much of the drive will you pick up a signal from the transmitter miles

point Suppose you start at the point 10 9 9 and move 6 units along the curve x t 2t 10 y t 4 73 3 9 z t t 1 2 9

15 MBC ADEF Find y x z 5x Ay 3z 10 B D 50 70

The list price of an item is 99 92 The supplier is offering a series trade discount of 10 7 13 Find the net com The net cost of the item is Round to the nearest cent as needed

Obtain P1 and P2 locations applying 3D rotating matrix method and show working steps given L 2 X is starting axis of robot arm and Z is rotating axis P2 60 50 P1 y

Consider the slope field shown a For the solution that satisfies y 0 0 sketch the solution curve and estimate the following y 1 0 y 1 0 15 11 1 1 1 1 1 1 1 1 1 1 1 1 1 L L L L L L L 77 7 7 7 7 7 11 1 17 11 10 77TX and 1 20 77 L L 177 1 1 2 11 NI Y 177 TTY 1 7 TITAN XI 7 77TV

1 point Calculate the distance between the lines and L 1 1t y 4 31 2 5 7t L 4 28 p 8 58 6 10

following questions All have the form f x ab 3 a Which graph has the largest value for b b Which graph has the smallest value for b c Which graph has the largest value for a d Which graph has the smallest value for a BACA ID

The distance between cities A and B on a map is 13 25 in The distance from B to C is 10 75 in and the distance from C to A is 9 5 in I bearing from B to A is N 85 E find the bearing from A to C Round to the nearest tenth of a degree B Select one O a S 45 2 W O b S 31 6 W O c 50 2 W O d S 44 8 W A

The graph of y f x is shown below Submit a photo of the graph of y cx 3 f t dt

4 3 2 10 3 2 1 1 2 3 4 5 f x Details 40 A curve and a point are graphed on the x y coordinate plane The horizontal axis is labeled x The vertical axis is labeled y The curve goes down and to the right in the second quadrant from negative 3 5 12 to 0 1 and then enters the first quadrant and goes up and to the right through 3 5 12 The point is plotted at 0 0 x 1 X if x0 if

The shape of f x x 2 but shifted four units to the right and six units down

Complete the proof that ARST AQSU T 1 2 3 R As S Q Statement ZR 2Q ZQSU ZRST ARST AQSU U Reason Given Vertical Angle Theorem

6 2x 5x 3 0 what valves of x 3 x make X 3 the equation true

What are the solutions to the system of equations y 22 482 7 2 1 C 3 1 D 4 7 E 0 1

the diagram above of AADE B is a point on AE and D is a point on AD such that BC ED If AC x AD 8 BC 7 and DE x 10 determine the length of CD E B A

What is mZH J mZH Submit 74 O H I K

Use what you know abou radical functions to graph f x x 4 Rubric 1 point for the point of inflection 2 points for at least 2 additional points on the graph x Clear Undo Redo

Simplify 6 3i 9 6i Write your answer in the form a bi

10 Consider the Part A What is the discriminant of the equation A 0 B 64 64 D 128 Part B Which of these describes the solution s to the equation A no solution B one real solution Otwo real solutions D two complex solutions

2 Line n is the image of line g 2y 6x 12 after a dilation centered at the origin Which of the followin ines below could represent the equation of line n Select all that apply a y 3x 12 b y 3x 9 c y x 12 d y 3x 12

Identify the angle of depression 8 08 O 5 07 6 5 3

Write an equation for the transformed logarithm shown below that passes through 3 0 and 2 2 5 4 3 2 f x V Ap ty 3 2 1 1 2 2345 54 12 2

4 Graph AA B C the image of AABC after a dilation of around 0 0 B

11 A firefighter places a 4 meters long ladder 3 meters up on a building right below a window What is the angle of elevation of the ladder rounded to the nearest degree A 37 B 41 C 49 D 90 A B C D 3 m 4 m

A steel plant has two sources of ore source A and source B In order to keep the plant running at least three tons of ore must be processed each day Ore from source A costs 20 per ton to process and ore from source B costs 10 per ton to process Costs must be kept to no more than 80 per day Moreover Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A If ore from source A yields 300 lbs of steel per te and ore from source B yields 400 lbs of steel per ton how many tons of ore from each source should be processed each day to maximize the amount of steel produced 3 tons from source A 0 tons from source B 2 tons from source A 4 tons from source B 1 ton from source A 2 tons from source B D 4 tons from source A 0 tons from source B

The points W 4 1 X 2 8 and Y 5 6 form a triangle Plot the points then click the Graph Triangle button Graph Triangle Reset Click on the graph to plot a point Click a point to delete it 10 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 7 1 2 3 4 5 6 7 8 9 10

t 13 Create scale drawings to determine all of the missing lengths and all of the missing angles a C 16 in b 34 28 mm 40 28 mm d 8 2 ft 24 7 2 ft 60 134 cm 24

20 Draw in north south lines and measure the following bearings a from A to B c from C to D e from E to F f from F to E b from B to A d from D to C A B D E

The two polygons are similar Find the value of y 6 731 116 O 166 O 93 O 360 O 90 61 116 5

Graph the line with slope 2 passing through the point 4 4 10 8 10 X

Which function has an period four times the length of f x 4 cos8x 2 O f x 4 cos32x 5 O f x 16 cos1 2x 2 O f x 3 cos2x 2 O f x 4 cos8x 8

If ABCD is congruent to PMNO then B A OA BC AB OB BC NO OC BC MP OD BC MN N

What is the measure of ZDCB in the diagram below TELE

This table shows the number of subscribers to a video streaming service in the first six years after it was founded Year Subscribers 2016 182 000 2017 304 000 2018 433 000 2019 669 000 2020 1 027 000 2021 1 356 000 What was the average rate of change in the number of subscribers between 2016 and 2019 Round your answer to the nearest whole number subscribers per year

Find the circumference and the area of a circle with diameter 3 yd Use the value 3 14 for and do not round your answers Be sure to include the correct units in your answers 3 yd Circumference Area yd X yd G

The point P 9 7 lies on the curve y 2 4 7 1 7 6 9 8 8 5 9 9 5 10 If Q is the point r 4 find the slope of the secant line PQ for the following values Enter at least 3 decimal places in your answers If z 9 1 the slope of PQ is 3 9 If I 9 01 the slope of PQ is If z 8 9 the slope of PQ is I X If z 8 99 the slope of PQ is Based on the above results guess the instantaneous rate of change of y 4 at P 9

Flow to i B Y a Draw the flow diagram for Flow from A a11 a21 a31 A B to a B Y and A 20 INPUT B a12 a22 a32 B 40 b 1 b12 Flow table e Find the flow rate output at a b c if the input at A B is Flow to A b Find the flow rate output at a B y if the input at A B is X B f Find the flow rate input at a y if the output at a b c is a11 0 3 a b C c Evaluate the matrix T representing the transition from A B to a b c b13 a12 0 2 b b21 b31 ii a y to a b c b Write down the transition matrices T and T Flow from a21 0 4 TRANSITION 2 Flow from a y to abc b 1 b22 b23 b31 X TRANSITION 1 Flow from A B to a y b12 b22 b32 30 Z 20 50 a22 0 4 b32 A B Y b33 b13 b23 b33 units s a31 0 3 units s units s a32 0 4