Coordinate system Questions and Answers

4 What is the value of m to the nearest tenth 11M an angle that can be expressed as 7 igas torto

2 Which of the following is equivalent to 3 The value of m a 30 b 300 c 225

5T 7 In the diagram below m TAC 9 radians How many degrees are in the large TAC 09 00DO Stretch How many degrees would be in the other angle Why 360W 35 2003 A MATHquide com T

4 2 A 14 Graph of g 2 A continuous function g is defined on the closed interval 8 5x5 6 The graph of g shown above consists of three line segments and a quarter of a circle centered at the point 0 2 Let f be the function given by f x f 8 1 dr b Find f 0 a Find all values of x in the interval 8 x 6 at which has a critical point Classify each critical point as the location of a local minimum a local maximum or neither Justify your answers 3 3 e Find the absolute minimum and absolute maximum values off on 8 6 Justify your answer d Leth be the function defined by h x g x Find h 1

6 5 4 3 2 10 C O A O Two circles are graphed below GNV B C D 1 2 3 4 5 6 Are these circles similar N S 4 3 2 2 3 4 5 6 no because there is no dilation that takes circle 1 to circle yes because there is a rotation that takes circle 1 to circle yes because there is a dilation that takes circle 1 to circle no because there is no rotation that takes circle 1 to circle

If the vertex of a parabola is 0 3 what is the axis of symmetry

Type the word EMPTY all caps for each empty line Blank 1 Blank 2 Blank 3 Blank 1 s Pear Blank 2 for x in s Diank Blank 3 CI Question 2 1 point Type the output printed by the program and input typed by the user into the blanks below Type the word EMPTY all caps for each empty line print Letter x 1 N N A A A 41

The parabola is tangent to the x axis has y intercept 18 and passes through the point 2 8 2 possibilities

WA early label asymptotes and graph two full periods f x tan x 7 THE

22 Height versus Time for a Trampolining Gymnast 20 Im 1 2 3 Time seconds 15 10 0 4 5 To break a height record in a trampolining competition a gymnast repeatedly bounced on a trampoline using increasing amounts of force to achieve greater heights The graph above represents the relationship between the time elapsed after the start of the jumps and the height of the gymnast above the trampoline How many times was the gymnast at a height of 15 feet A Three B Two C One

31 B t 6s C 2 7 0 2 722 Which of the following equations relates t to s for the values in the table above A t 21 6 N ON CN 5 31 55 2

Laura went out for a run After running for a while she stopped to sit on a park bench and rest When she started running again she was tired and ran at a slower rate than she had initially Which of the following graphs could model the distance Laura ran versus time A B D Distance Distance Distance Distance Time Time Time Time

What expression is equivalent to 3y 2 5y 3y 6 A 2y 3y 4 B 2y 3y 4 C 8y 3y 4 D 82 3y 4

AABC point D not graphed is such that DC 2 In diagram ab is an altitude of the triangle Grid in the slope of DC 2 5 4 3 2 1 10 1 2 3 B 4

The graph of y f x is shown Sketch the graph of y f x 3 1 2 10 8 6 PAR 0

Select the correct answer from each drop down menu The endpoints of AB are A 2 3 and B 8 1 The perpendicular bisector of AB is CD and point C lies on AB The length of CD is 10 units The coordinates of point Care 5 2 The slope of CD is The possible coordinates of point D are and

Find the volume of the cylinder 7 in 490 in T 245 in 140 in O 70 in T 10 in Question 12 1 point

Use the diagram below to answer the questions Question 8 M 12pt v E Paragraph 0 D How many tangents could be drawn containing M and Q Explain your answer 2 pts BIUA

NAME 11 Use the figure to match each angle with its measure m2JK majkN MLINK N EG LFH BEGN FR DATE 50 CLFEHLFGH DEG bisects LFEH PROD CHOICES A 25 865 C BO D 100 E 130 14 Quadrilateral EFGH is a rhombus Which additional fact would prove that EFGH is a square E SCORE 15 STRUCTURE A shelf in a warehouse is made by connecting steel beams To safely hold its load the shelf must be rectangular DIT Which measurement will ensure that ABCD is a rectangle

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in by 12 in by cutting congruent squares from the corners and folding up the sides Then find the volume The dimensions of box of maximum volume are Round to the nearest hundredth as needed Use a c in ate answers as needed

4 Write 417 500 as a decimal number

44 Express this product as an algebraic sum sin 25 cos 18 OA sin 43 sin 7 OB sin OC sin 43 sin 7 sin 43 sin 7 D sin 43 sin 7

9 To answer questions 28 35 use the given data to find the values of the sine cosine and tangent of A B and of A B Give the quadrant in which each of the angles A B and A B terminates angle A in Quadrant II tan A 12 5 Quadrant III sinB cos A B A 56 65 B 16 65 OC 56 65 O D 16 65 3 5 angle B in

passing through 8 9 and perpendicular to the line that has an x intercept of 8 and a y intercept of 16

Given sin 72 cos 12 cos 72 sin 12 What is the second step equa to A cos 72 12 B cos 72 12 C D sin 72 12 sin 72 12

TA line and three points are shown on the graph below The line on the grid contains the points 3 2 and 1 5 The point is located at 2 1 Plot another point that will create a line that goes through 2 1 and is perpendicular to the line created by 3 2 and 1 5 5 O L

quadratic functions are given below Find an equation for each Note The graphs below are interactive You can click on the graph to identify key points 10 2 b g x O a f x f x 10 X X 0 5 g x 10

Let f x Find X 4x x 7x 8 5 1 Domain in interval notation 2 y intercept s at the point s 3 x intercept s at the point s 4 x value of any holes 5 Vertical asymptotes at x 6 Horizontal asymptote at y 7 Oblique or slant asymptote at y Write DNE if there is no answer

The function graphed to the right is of the form y a tan bx or y a cot bx for some a 0 b 0 Determine the equation of the function Half and quarter points are identified by dots 10 8 6 OP

rmine whether 1 9 is a solution of x 10 2 y 6 112 e the expression x 10 y 6 evaluated at 1 9 is 1 9 a sol

ermine whether the ordered pair 5 10 is a solution of the equation 18x y 80 e the expression 18x y 80 evaluated at 5 10 is 0 5 10 is not a solution

Genetic drift is more likely to happen in O aquatic populations O terrestrial populations O small populations O older populations

a Sketch the members of the family y mx and y mx for m 0 1 2 and 4 and label them with their equations Sketch the members of the family y mx c and y mx c with x intercept at 1 for m and and label them with their equations

if a line slope of 4 then the value of y blank by blank is the value of x incre ases by 1

Which of the following trigonometric points is in the third quadrant OP OP OP 7 D 13T

3 If an angle is drawn in standard position with each of the following radians angles determine the quadrant its terminal ray lies in Hint convert each angle into degrees b 5 28 c 1 65 a 4 75 d 7 38

11 4 Write as a decimal number 20

40 28 cm 18 0 cm 36 5 cm Find the length of side w 43 6 cm 21 4 cr

to 400 50 5 degrees 300 36 9 degrees Solve for the missing angle 72 2 degrees 12 7 degre

Find the distance between the points 8 9 and 20 9 Submit units

The midpoint of the segment AB is 3 1 and point A is located at 5 4 What is location of point B 8 3 1 6 2 5 There is not enough informaiton for this to be determined

Determine the center and radius of the circle whose equation is x 3 1 49 center 3 1 radius 49 center 3 1 radius 49 center 3 1 radius 7 center 3 1 radius 7

3 Question 3 4 3 2 2 3 N 1 2 3 3 A Gift a

Question 12 Multiple Ch 01 05 LC What is the contrapositive o

Based on the measures provided in the diagram determine if AB is tangent to the circle with center C Figure may not be drawn to scale 10 15 5 5 Yes AB is tangent because triangle ABC is a right triangle with the right angle at ZCAB Jury No AB is NOT tangent because triangle ABC is a NOT a right triangle

B 12 J C 9 A 4 15 2 4 L tan A 3 L

9 When Esteban looks at the puddle he sees a reflection of the top of the cactus How tall is the cactus 7 10 m 2 5 m 1 5 m

3x 4 14 9 10

164 196 L 82 98 0 164 Figure 5 Using Figure 5 above find the measure of arc OLE 0 E

60 20 O 100 50 40 T X P Figure 6 Using Figure 6 above what is the measure for arc Y A K A arc R 40