Geometry Questions

Given P x 3z 52 522 1132 400x 300 and that 5i is a zero write P in factored form as a product of linear factors Be sure to write the full equation including P z

Solve the absolute value in equality Graph the solution set and write the solution interval notation 4 5

Vrite equations of the horizontal and the vertical lines that pass through the given point 5 6 99 horizontal y 6 99 vertical x 5 horizontal y6 99x vertical x Sy horizontaly 5 verticalx 6 99 horizontaby 6 99 vertical x

Find an equation for the ellipse Graph the equation Center at 3 1 vertex at 9 1 contains the point 3 7 Write the equation Simplify your answer Tyng an equation using y and y as the variables

Consider the following function g x swer 1 x 4 tep 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed 1

Find a linear function h given h 9 40 and h 3 20 Then find h 1 h x Type an expression using x as the variable Simplify your answer h 1 Simplify your answer

Find the measure of the angle indicated 2 Find mZW V W 6x 16 5x 1I 137 U

solve each traingle ABC that exists B 27 3 degrees a 28 2 b 40 1

Evaluate the expression under the given conditions sin 0 tan 0 19 12 5 0 in Quadrant III sin p 2 10 10 In Quadrant I

find the exact value of the expession ot sin x 2

86 5 U Q f 6 the unknown arc K 60 Arcs and TS are congruent Find the measures of arcs UT and TS 154 120 7 Find the value of x R 155 J 6 11x H Find the measure of 22x 1

Determine the surface area of the geometric figure 3 2 ft 3 ft 2 4ft 3 2 ft 6 ft

The poin L A m O A LU B C D E F B in the graph below represents 4 5 25 O E 3 N D

Which polar coordinate point s represents the point 3 3 3 in the rectangular coordinate system Select one or more a 6 2 b 3 2 S C 6 5 d 6 2 164

Given the rectangular coordinate point 2 2 find the polar coordinate s Select one or more a 2 2 7 b 2 2 4 c 2 2 4 d 2 2

Which of the graphs below is the graph of the polar equation r 6 sin 60 when changes from to Select one O b a TT 10 10 TT 5fT 6 7TT 6 5TT 6 7 TT 6 211 3 4T 3 2 T 3 4T 3 10 TT 2 10 3TT 2 10 2 10 3m 2 5TT 31 TT 3 TT 3 5TT 31 TT 6 TT 6 11 6 0 10 11TT 6 10 20 20

Given the point 2 3 2 in the rectangular coordinate system what is the radius of the corresponding polar coordinate

The poin 18 amoa C D E F B 3 in the graph below represents 2 3 2 1 0 1 C 2 D

Which of the following is NOT a true statement Select one a In the polar coordinate r r is the distance from the origin O b A polar coordinate is represented by 0 r Where r is the distance from the origin and is the angle measured from th moving counterclockwise Oc In the Polar coordinate r is the angle measured from the x axis moving counterclockwise d A polar coordinate can be converted to a rectangular coordinate using r and sine and cosine

Given the rectangular equation 3x 2y 18 Choose the correct first step s in converting this to polar form Select one or more a 3rcos 2rsin 81 b 3 rcos 2rsin 9 c 3 I d None of these

When graphing the polar equation r 6 sin 60 as moves from to radius changes from 0 to 6

The point F in the graph has the coordinates 4 TT 3 2T 3 TT 4 4 3 5TT 3 5 3

Given the line 2x 3y 6 convert it into polar equation form What is the denominator of the polar equation when solved for r 1 30 r 2 x cos sin

Select one or more a x y b r c 0 r d r T a

Select the statements that are true Select one or more a In polar coordinates y is a function of x b There are infinitely many ways to represent a point in rectangular coordinates c All polar equations are functions d There are infinitely many ways to represent a point in polar coordinates

Find an equation of the ellipse drawn below then find its foci 0 Select one 1 FR a x 4 y2 9 1 b x 4 y2 9 1 foci 0 5 foci 5 0 c x 4 y2 9 1 foci 0 5 d x 4 y2 9 1 foci 5 0

Given that 0 8 n 0 X 1 1 x to x Identify its interval of convergence The series is convergent from with convergence in 1 1 find the power series for n 0 left end included enter Y or N right end included enter Y or N 2 25 1 3x5 with center

Choose the true statements about this conic section x 4 x 3 81 9 1 Select one or more a Opens to the left and right The graph is an ellipse b c Center 3 4 d Center 3 4

as follows American Full Size 12 9 Mid Size 18 21 Compact 12 Japanese European 8 For a single car chosen at random from the cars on this dealer s lot let A be the event that the car chosen is American and B be the event that the car chosen is compact a For a single car selected from this dealer s lot find P A and P AIB Explain your answers 4 pts 15 b Are A and B independent events Explain 2 pts 12 6 S

Which is the graph of the circle x y 10x 8y 5 0 Select one Oa b 0 5 10 5 10 L 5 10

the 5y 38 of x and y 8x 26 3x

The line y mx c intersects the circle x y a a maximum of Select one a 3 Ob 2 C 4 O d 1 points

For the parabola shown below Which is an accurate conclusion about this parabola Select one or more a Focus 0 3 b c d directrix y 4 25 The vertex is at 0 4 V x 2 x 2

The equation x2 2x y 3x 2 0 represents Select one a An ellipse A circle Ob Oc A parabola Od A hyperbola

Write the equation for a circle with center 10 6 and radius 9 units Select one a x 10 y 6 18 b x 10 y 6 81 Oc x 10 y 6 81 C d x 10 2 y 6 9

d a formula for the quadratic function depicted in the following graph Answer 10 S Enable Zoom Pan K

For the stem and leaf plot below what is the maximum and what is the minimum entry Key 11 7 11 7 11 47 12 466789 13 0112366788 14 34668999 15 011237789 16 22578899 17 29 OA max 179 min 114 OB max 17 9 min 11 4 C max 17 9 min 11 7 OD max 17 2 min 11 4

Use the diagram below to answer problems 1 10 P M 1 Name a diameter 2 Name all radii 3 Name all chords 4 Name two tangents 5 Name a secant E 0 6 Name two points of tangency D 7 How many tangents could be drawn containing M and Q Explain your answer 8 How many secants could be drawn containing M and Q Explain your answer

American 12 9 18 21 12 15 Japanese European 8 For a single car chosen at random from the cars on this dealer s lot let A be the event that the car chosen is American and B be the event that the car chosen is compact a For a single car selected from this dealer s lot find P A and P AIB Explain your answers 4 pts b Are A and B independent events Explain 2 pts 12 6 17 IkWhat is the probability that the spinner will land on a green section 1 pt b The spinner is spun and the color is recorded The spinner is then spun a second time and the number is recorded Are these events independent or dependent Explain your answer 2 pts c The spinner is spun and the color is recorded The spinner is then spun a

2 C of 56 M d 1 4 3 2 1 7 3 2 3 4 04 The plot above is created with the parametric equations x t a cos bt y t c sin dt To acheive this graph a 5 b 2 4 X Or

comedies 12 dramas and 10 action movies He wants to select two movies at random without replacement a Find the probability of selecting two comedies 3 pts b Find the probability of selecting two dramas 3 pts c Find the probability of randomly selecting two action movies 3 pts d Find the probability of randomly selecting two movies that are not dramas 3 pts

Find a4 when a 3 and r 2 Select one a 24 b 16 C 16 d 24 OC

Which group shows the values in the order from least to greatest Select one a In 10 log 10 log e In 1 b None c In 1 log 10 In 10 log e d log 10 In 10 log e In 1

Find the sum of the first five terms of the geometric sequence 1 6 36 Select one a 1 555 b 1 654 c 1 004 d d 967

Listen Solve for x R 0 2 4 9 X 7 2x 6 S T

What postulate if any can be used to prove the triangles congruent

Find a 6 of a geometric sequence if the first few terms of the sequence are given by 2 4 8 16 Select one O a 64 b 128 c 128 d 64

Listen Solve for x 3x 1 11 10 14 13 43

Match the following literal equations to it s inverse y x y 2 12 b m m x y1 m y x Choose Choose Choose ax by c y y 1 m x x 1 y mx b

Solve the following equation e 3x 9 Select one Oa 0 732 b 0 459 c 0 327 Od 0 237