Coordinate system Questions and Answers

What are the coordinates of the vertex of a parabola whose equation is y 4 2 x 7 7 4 4 7 4 7 7 4

Consider circle C with angle ACB measuring radians 317 4 B 3 m 4 If minor arc AB measures 9 inches what is the length of the radius of circle C If necessary round your answer to the nearest inch O 6 inches O O O 12 inches 18 inches 24 inches

shown Describe the transformation Example 4 L 0 0 L 0 0 M 4 1 N 1 3 N 1 3 M 4 1

4 The graph of polygon the image of FGHI after a reflection across the line y 1 Include the line of reflection Then write the coordinates of the image Example 2 G

6 translation x y x y 4 y R S Q X

12 reflection across y 1 D E X

10 translation x y x 1 y 2 Ay H X

11 reflection across y 1 T U y X

3 reflection across the y axis Y X

C 26 True False 12 B W 5 Z Triangle ABC is similar to triangle WYZ Determine whether the following statement is true or false sin B sin Y

Use the graph of y f x to graph the function g x f x 3 4 y f x Ay 16 A Show Transcribed Text G Choose the correct graph of g below OA U OB oo

What is the radius of a circle whose equation is x y 8x 6y 21 0 2 units 3 units 4 units 5 units

6 translation x y x y 5 y D A C E X

5 translation x y x 5 y 1 y G F H

Lo 3 21 2 30 y N 3 4 LA X What is the equation of the circle shown in the graph O x 3 2 y2 4 O x 3 y 2 O x y 3 4 O x y 3 2

The equation of a circle is x y 10 16 The radius of the circle is units The center of the circle is at

19 Find all the complex cube roots of 8 8 3i then plot the in the complex plane

10 Find the value of x a 11 2 b 12 4 c 13 2 d 14 4 q x 6 6 8 4

What is the measure of a single interior angle of a regul nonagon

What is the formula for the area of the piece that Mrs Thompson cut out C D The Thompson Family made a circular cheesecake with a radius of 4 inches for dessert The area of the cheesecake can be found by using the formula A or A 4 Mrs Thompson cut out a piece that has a central angle of 39 as shown below T B A 186

What is the probability of flipping a coin three times in a row and getting Heads for all three consecutive coin flips A B C 1 6 12 11 3

A box is designed so that 4 cans of soup fit tightly into the box as shown below VEGETABLE VEGETABLE SOUP SOUP Each can has a diameter of 3 inches and a height of 5 inches What is the volume of the box A B C D ABLE 45 cubic inches 75 cubic inches 150 cubic inches 180 cubic inches

When graphing r 9cos 40 the cos 40 0 on the interval TT 8 1

The scatter plot shows the number of pigs and cows on various farms Cows 80 82 882 88 70 60 50 40 30 20 10 0 0 e A H Number of Pigs and Cows G E F B D 10 20 30 40 50 Pigs 60 70 80 90 Which farmers had more cows than pigs 100 Name Josie Harold Connie Jackson Emma Jose Jaylan Mimi Jacob Emiel D Yosef Label A B C D E F G H 1 J K

1 We can prove AWXY ASTR by which similarity statement W a SSS 75 60 Y R 60 b AAS S 45 T YEDILAR c AA SAS

Use OH for problems 11 14 Z 148 Y Answer 1605 H W 55 What is the circumference of OH Round answer to the nearest tenth 9m X ure of the angle of XX

12 Use the diagram below of circle A where AE 4 and DE 1 CB to answer parts a c a Determine the sector area of ACD in terms of 2 points 25 x0 v8 5 01 a b Determine the fraction of the circle that is shaded 1 points infond 100 FR Bound to the nearest tenth 2 points B IA C E

Identify the radius and the center of a circle whose equation is x 5 y 81 The radius of the circle is units The center of the circle is at

F Calculate the perimeter of the above triangle 30 units 34 units 60 units 45 units Previous Page H Next Page

Convert the equation from Standard to General form x 5 2 y 3 36 Ox y 10x 6y 2 0 Ox y 10x 6y 36 0 Ox y r2 10x 6y 72 0 Ox y 10x 6y 34 0

4 27 What is the area of the sector A 3 165 F B 28 H G 59 10 T

8x 12 E B D C 10x 22 13 14 15 16 X MAD mCD mBDC

25 What is the length of AD Express the answer in terms of B A C 43 73 104 P D 26 Use OQ Express answers in terms of What is the length of JK radians H Q LO 3 4 Tradians K

3 Find XY 9x 34 V W X 4x 1 Find mRS R J Q 11x 72 5r 6

Find the measures of the missing angles in the trapezoid 1 99 2 51 A Find the measures of the missing angles in the trapezoid 99 2

Find a polynomial for the volume of the following solid The polynomial for the volume of the solid is Simplify your answer Do not factor x 4 m x m 9m 10 m x m 11 m

M 2 B AD AB CD CB tangent to circle 0 Suppose that NP BD are not parallel Prove that QM NP BP are concurrent H

Use transformations of f x x to graph the following function h x x 4 6 Use the graphing tool to graph the function Click to enlarge graph 10 6 4 2 10 8 6 4 NO 2 4

3 A test has a maximum possible score of 200 The results achieved by a class of 20 students are listed 168 152 112 88 95 123 177 166 145 104 112 156 110 141 177 166 134 190 111 and 120 Calculate the percentile rank of a score of 141 to the nearest percentile 4 marks

a Convert the Cartesian coordinates 2 5 to polar coordinates with r 0 0 0 27 Remember to consider the quadrant in which the given point is located b In the graph below find the polar coordinates of the point in Quadrant 3 two ways one with r 0 and one with r 0 and both satisfying 0 0 2 Please show all steps on paper G KIN 0 5 1 5 2 5 3 5 0

The standard deviation of the given data 14 13 16 9 3 is

o represents the standard deviation area mean population

Find the area of the circle 4 1 ft A ft Simplify your answer Type an exact answer in terms of

What is the area of sector GPH The area of sector GPH is square yards Type an exact answer in terms of x P 12 yds G 20 H Q

Find the area of the circle Area cm Simplify your answer Type an exact answer in terms of 22 cm

For questions 10 15 assume that segments that appear to be tangent are tangent 10 Find the value of x 11 Find the perimeter of AGHI a 11 2 b 12 4 c 13 2 6 6 a 130 b 140 c 154 d 164 7x 10 52 H M 13r 8 K 15

A 55 pound box sits on a ramp with 24 incline So the box experiences a force of 55 pounds straight down into the earth 4 Find the magnitudes of the force vector perpendicular to the ramp FL pounds and the force vector parallel to the ramp F pounds Round to at least 1 decimal place

Graph the given parent function after the set of transformatic 1 2 3 5 1 f x 3 2 2 2 7 4 2 f x 1 2

Find the surface area and volume of the following solids 1 5 cm 6 cm 8 7 cm

Ho The shift and reported symptoms are H The shift and reported symptoms are not This hypothesis test is a right tailed Part 2 of 4 Part 2 4 Part 3 of 4 Find the P value Round your answer to four decimal places The P value is 0 2439 Determine whether to reject Ho test independent independent