Coordinate system Questions and Answers

If the angle 8 is in standard position and P x y is a point on the terminal side of 0 and r is the distance from the origin to P then sin 0 cos 0 tan 0

When graphing the polar equation r 3 cos 20 as approaches from 0 the radius changes from to 2

Gail and Kaitlyn are converting the polar equation r 3cos Gail r 3cos0 3 rcos is is Kaitlyn r 3cos r r 3rcos x y 3x 0 is the since it is mathematically correct to multiply both sides of an equation by the sam since it is mathematically incorrect to switch values on either side of an equation retangular equation

Monique is trying to convert the polar equation into a rectangular equation Put the steps in order 3 1 2cos T Isolate the r r 2x 3 Square both sides r 2x 3 2 Substitute any values for x or y r 2x 3 Multiply both sides to eliminate the fraction Rewrite in Standard Form 3x 12x y 9 0 Substitute 2 x y 4x 12x 9 r 1 2cos0 3 Gailand Kaitlyn are converting the polar equation Choose Choose Choose Choose Choose

Find the angle between u 4 1 and v 1 2 to the nearest tenth of a degree The angle between u and vis Round to the nearest tenth

The line plot displays the cost of used books in dollars Cost of Used Books Cost in Dollars Which measure of center is most appropriate to represent the data in the graph and why O The median is the best measure of center because there are no outliers present The mean is the best measure of center because there are no outliers present The median is the best measure of center because there are outliers present O The mean is the best measure of center because there are outliers present

What is the value of y if 4y 8 7y 12 11

The specific heat capacity of substance K in calories per gram cal g is approximately 30 less than that of methyl alcohol The specific heat capacity of methyl alcohol is 0 60 cal g Which of the following is closest to the specific heat capacity in cal g of substance K A 0 18 B 0 42 C 0 56 D 0 78

Given a convex quadrilateral ABCD prove that the circles in scribed in the triangles ABC and CDA are tangent if and only if the circles inscribed in the triangles BCD and DAB are tangent

While saving money to pay for graduate school Stephan created a plan in which the amount of money he saves each month is increased by a constant amount If Stephan s savings plan requires that he save 145 during month 3 and that he save 280 during month 12 which of the following describes how the money Stephan saves changes between month 3 and month 12 of his savings plan A Stephan increases the amount he saves by 5 each month B Stephan increases the amount he saves by 15 each month C Stephan increases the amount he saves by 60 every 6 months D Stephan increases the amount he saves by 45 every month yet

The parabola with the equation y ax bx c where a b and c are constants is graphed on the xy plane If the parabola passes through the point 1 1 which of the following must be true A a b c 1 B a b c 1 C a b 1 D b c 1

65x y 455 A grocery store receives a shipment of oranges and consistently sells the same number of oranges each day The equation above models the number of oranges y that remain x days after the shipment is received What does it mean that 7 0 is a solution to the equation A It takes 7 days after the shipment until none of the oranges are remaining B There are 7 oranges in the shipment C It takes 7 days for oranges to be sold to 455 customers D After the shipment 7 oranges are sold each day

B association between two variables is one in which higher values in one variable correspond to higher values in the other variable and vice versa A C E 5 5 0 0 D Y 5 0 5 0 0 5 5 5 DE

of C White chocolate Dark chocolate Total A B 30 28 28 28 8 30 12 20 30 5 30 22 Cream filling 5 7 12 A box contains 30 pieces of chocolate distributed as shown in the table above Each piece is made of either white chocolate or dark chocolate and each piece contains either cream filling or no filling If one piece is selected at random what is the probability that the piece is either white chocolate with cream filling or dark chocolate with no filling No filling 15 3 18 Total 20 10 30

2 4 3 In the figure above lines 1 and 2 are parallel and lines 3 and 4 are parallel If the measure of Za is 125 what is the measure of Zb A 40 B 55 C 110 O 125

6 5 The number of Java Jim s coffee stores that existed in 2003 is approximately one half the number of additional Java Jim s coffee stores that were added from 2004 to 2014 If approximately 700 Java Jim s coffee stores existed in 2003 and approximately y Java Jim s stores were added from 2004 to 2014 which of the following equations is true A 11 12 y 700 B 2y 700 C 700 y 15 2 D 700y 2 Stream Supreme a streaming movie service charges a monthly fee of 7 for membership and 1 75 per movie streamed Another streaming movie service Download Empire charges a monthly fee of 4 for membership and 2 25 per movie streamed If m represents the number of movies streamed in a particular month what are all the values of m for which Stream Supreme s total monthly charge is less than that of Download Empire A m 4 B 5 m 6 C 6 m 7 D ms 6

10 Answer 8 0 4 0 4 6 4 A 2 10 8 2 0 2 T 9 6 8 10 2 B 6 8 10

Amy asked each member of her class if they have a facebook account The class consists of 10 males and 8 females 6 of the males said they have a facebook account and just 1 of the females said they had a facebook account What is the probability of randomly selecting a person from class that is a male and does not have a facebook account O 113 O O 2 9 OF Male Facebook Account Female 7

An opaque bag contains 3 green marbles and 3 red marbles Two marbles are randomly drawn one at a time without replacement P 2nd draw red 1 draw red 0 20 O 0 50 O 0 40 0 60

Given that P A and B 0 20 and P A B 0 40 what must the P B 0 1 00 2 0 4 0 5

1 Change the program program name is Kojo so that it is drawn instead a a green equilateral triangle with the same perimeter as the hexagon b a blue regular octagon with the same perimeter as the hexagon erase slow 100 fill yellow repeat 6 front 100 right 60 Report both program code and images in task 1

What are all the symmetry elements in five sided triangular pyramid 4 sides being isoceles triangles base is square Please show all the symmetry elements using a diagram

6 h r is shown below Find an equation for the graph to the right in terms of h a AC

The graph of r theta 2 sec theta is called a conchoid a Graph the polar equation b Convert the above polar equation into its rectangular form c Graph the rectangular equation d Show all substitutions e Show all steps

4 Find the increasing decreasing and constant intervals Then state whether it is even odd or neither 9 pts 3 3 3 3 0 2 W 3 1 0 1 0 3 x y 3 1 0 3x 3 2 y 3 1 2 0 2 3 1 3 x 0 1 1 2 1 3

3 2 54 3 2 11 Oy In x 3 Oy lnx 4 Oy ex 3 y e 4 77714 2 2 3 4 5 AX

dathematical Reasoning Middle School Supplement and 60 in gold One year later the stocks have decreased in value by 10 but the ge The Hendersons invest 30 000 in a college fund for their daughter putting 40 in stock increased in value by 25 What percentage of the current value of the college fund is stocks Round final answer to nearont porcent

Find an equation for the graph sketched be 654 32

a Graph the function f x b Solve f x 20 OA x 7x 8 2 x 8x 16 a Choose the correct graph for f x below Q by hand B

Use the graph of a transformed toolkit function to write a formula for the resulting function 10 y 10 s 9 X

1 Graph the Exponential Function f x 4 by plotting the Vertical Intercept and one other 2 point Then write the Vertical Intercept as an ordered pair Graph the function f x 4 2 I Identify the Vertical Intercept x 69 5 2 20 19 18 17 16 15 14 13 12 H 10 9 8 7 6 S 4 3 2 Clear All Draw 2 6

Graph the equation y20x3 X Find the following y values Then choose the correct graph of the equation to the right 3 2 1 0 1 2 3 x 3 2 1 0 1 2 and 3 y CHED OA OC INSUR ES D E

Find the lengths of the circular arc Assume r 4 and 0 134 S S 0 r

The recurrence relation an 7an 2 an 5 0 is a linear homogeneous recurrence relation with constant coefficient O True O False

Draw in all lines of symmetry in the shape below If there are no lines of symmetry submit an answer without drawing them in Plot a line by clicking in two locations Click a line to delete it

1 2 4 3 AN 2 17 f 0 1 2 3 2 f x f x 0 x f 0 1 f x 0 x 4 5

Find sin 62 Round your answer to the nearest ten thousandths

Solve for if tan0 0 11 Round answer to the nearest degree

1 Consider line segment AB below to have length 1 Using this construct other line segments of definite lengths What kinds of numbers can you construct Task 46 B be a E W E O

Use the graph of the function below to determine

The vertex s of the ellipse x 3 2 36 y 2 2 16 1 are

Vertices 5 9 13 9 Endpoints of minor axis 4 14 and 4 4

Write the equation of the line passing through the points 2 4 and 2 5 Be sure to use exact v The equation is

Solve for x Round to the nearest tenth of a degree if necessary 8 1 3 9 to B

10 Which vector rule describes the translation from AABC to A B C A B C D 5 3 5 3 3 5 3 5

16 Look at this shape Which image shows a translation A B

What vector will move AABC to AA B C A B C B D A C 6 5 4 3 2 1 1 2 3 4 5 3 6 3 6 6 3 5 4 3 6 3 2 21 1 C B 1 2 3 4 5 6

3 Draw the object after being translated 3 units left and units up When using the polygon tool close the figure by clicking on the starting point LINE 10 POLYGON 9 8 7 6 5 4 3 2 1 6 5 4 3 2 1 0 0 1 2 3 T 50 D 2 A 3 B U 5 6

7 If the point A is translated 5 units up and 10 units to the left find the location of the resulting point A POINT 6 5 4 3 2 1 6 5 4 3 2 0 0 1 2 32 5 2 3 4 5 6 7 8 9 10 11

11 AXYZ will be translated so that the coordinates of X are 5 11 14 13 12 11 10 9 8768 5 4 32 2 1 X N 0 1 2 3 4 5 6 7 What will be the coordinates of Z A 5 8 B 7 6 6 7 D 8 5 BOOKMARK CHECK ANSWER Y 8 9 10 11 12 13 14