Geometry Questions

6 Kimi wants to determine the radius of a circular pool without getting wet She is located at point K which is 4 feet from the pool and 12 feet from the point of tangency as shown in the accompanying diagram What is the radius of the pool a 16 ft b 20 ft c 32 ft d 4 10 ft K 4 ft 12 ft

YOU DU 1 In the diagram above AC and AD are tangent to circle B at points C and D respectively If CB 4 and AE 8 determine the length of AC in simplest radical form A E B

O A 1 a In circle O right triangle OBC is formed where mzB 90 If OC 13 BC 12 determine the length radius OB b If mLBOA 7x 3 and mBA 4x 9 find the value of x

onsider the function f x 4x 10x 8 tep 1 of 2 Find the vertex of the parabola defined by the given function Write the exact answer as an ordered pair Do not round mswer 2 Points

Consider the following function r x 4 1 1 2x Step 1 of 2 Find the slope and the y intercept Express the intercept as an ordered pair Simplify your answer Answer 2 Points 6x

Find the measure of minor arc TV S 36 T W 5x Write your answer as a whole number or a decimal

Find the axis of symmetry and vertex for the parabola y Provide your answer below x 2x 3

D D Classify the angle as acute right straight obtuse or none Ohoose the correct answer below

Identify a pair of corresponding angles in the diagram N

Probability of choosing an odd num 3 10 1 2

Probability of choosing an odd number

Probability of choosing a number less than 7 and an odo number

Probability of choosing a number less than 7 or an od number

Probability of choosing a number less than 7

Cards numbered 1 12 are placed in a bag A ball is chosen at random The probability of choosing a number less than 5 is 13 What is the probability of not choosing a number less than 5

Probability of choosing a number not less than 7

A bag contains 2 red 5 blue and 3 green balls A ball is chosen at random The probability of choosing a read ball is 15 What is the probability of not choosing a red ball

You choose a card at random from a standard deck of cards The probability of drawing a red king is 1 26 What is the probability of not drawing a red king

II 7 1 Compute explicitly the fractional linear transformations determined by the following correspondences a 1 1 2 0 b 0 1 0 0 i 1 1 1 1 2 c 0 1 1 2 0 1 00 d 2 1 2 1 2i 0 1 2i H Solution a We have the points The mapping is w wo w w 2 0 1 2 w w ws wo 2 22 21 20 20 1 i 21 2 22 0 w 0 w wo 1 w w w w 1 wo w take limit as w to obtain of triples 0 1 e 1 2 x f 0 i 0 1 0 0 1 0 g 0 00 i h 1 i 1 1 0 1 a wo 0 W 1 1 1 z 1 i 2 0 O T 220 21 22 2 22 21 20 5 2iz 2 2

Question 10 Use the given information to solve the triangle and round answers to the nearest tenth A 61 degrees c 22 inches B Blank 1 degrees a Blank 2 inches C Blank 3 degrees b Blank 4 inches

Write the function represented by the gra Enter the correct expression in the box b

Write the function 4 5 3 3 4 2 6 4 2 0 2 V N Enter the correct ex

Solve the logarithmic equation algebraically logg 4x 7 logg 3 log6 9 Enter the correct number in the box to complete your ar Show Hints X

Write the function rep 2 6 16 4 2 0 4 10 Ditor the y 2 N Anurag X

Find a polar equation of the conic with a focus at the pole and the given eccentricity and directrix Identify the conic and graph it 5 e 2y 3 Find a polar equation for the conic equation Simpl answer GEE

14 Given XU XV and ZY are tangents to circle O XO 17 and OU 8 find XZ YZ XY Z W a

Match the equation with the degenerate conic section that would describe the graph y 4 0 y 4x 0 y 4x y 4x 0 1 Choose Choose two intersecting lines empty set two parallel lines single point

2 Graph the polar curve r 4sin 20 Apply the tests for symmetry

The graphs of polynomial functions y f x and y f x and 2 Preview y g x are given below H 2 3 a Express function f x in terms of g Use z as your input variable b Express g z in terms of f Use a as your input variable

hinn utility to solve the equation Express

2 Find an equation in standard form for the parabola a vertex 0 0 directrix y 4 b focus 4 0 directrix x 4 c focus 5 3 vertex 5 6 d vertex 3 3 opens downward focal width 20

The distance between cities A and B on a map is 10 75 in The distance from city B to city C is 8 75 in and the distance from C to A is 16 in If the bearing from A to B is N73 E find the bearing from C to 4 Round to the nearest tenth of a degree 16 in 10 75 in 8 75 in 8 The bearing from city C to city 4 is approximately Choose one Choose one

a If the length of each side of each cube is 1 unit what is the surface area in square units of a tower of n cubes like the one shown below square units b If the length of each side of each cube is 1 unit what is the surface area in square units of a tower of height n cubes like the one shown below

1 Find the vertex focus directrix and focal width of the parabola a y 8x b x 4 6 y 1

nd the exact value of the express sin 2 cos 5

6 In the diagram as shown ZCDB 38 B C and E are points of tangency and A and F are the centers of the two circles What is the degree measure of ZBGE 38

find the volume of the prism shown 6 Jug 4 m 8 m 5 m 10 mil

Question 10 of 15 H Use symmetry to r 3 3 cos

Find a rational number halfway in between the two numbers 2 5 and 1 11

Official Miami Dade Colle Content 21 ft 31 Part 1 of 3 McGraw Hill Connect Ma Correct Answer 16 ww M a How far from the ground is the balloon floating Roun answer to the nearest tenth of a foot The balloon is floating approximately 11 ft from the gro

e length of a rectangle is 3ft less than twice the width and the area of the rectangle is 65ft 2 Find the mensions of the rectangle

1 nect MATH Hosted by ALEKS Corp 2 3 4 MA Colle 8 4 5

7 and w answer in exact form 256 X

Graph the solution set of the system of inequalities y 9 lyzx 3 ly 146 46 46 TH Webdesign Graphing Tool Find the coordinates of all vertices If there is no solution enter NO SOLUTION n smaller x value Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properes

sec x 5 sec x 14 0 Need Help Read Use n as an arbitrary integer Enter your response in radians 6 1 Points DETAILS Use the Quadratic Formula to find all solutions of the equation in the interval 10 2 Enter your answers as a rated list cark antwer decimal d

Find an equation of the parabola with axis parallel to the y axis passing through the points 0 7 1 5 and 2 9 The equation of the required parabola is Simplify your answer Type an equation Use integers or fractions for any numbers in the equation Type your answer in standard form

Question 2 23 33 points Graph the solutions of the linear inequality ys 1 O A

Find the exact value of cos O a b c d COS cos 2 2 3T 4 COS 2 1 4 COS 1 2 2 3 05 1 1 2 1 2 COS 4

For each scenario below choose the best graph a A plane goes slower after landing Plane s Speed Time Bird s Distance from Nest Plane s Speed Time b A bird flies away from its nest to go hunting O Bird s Distance from Nest Time Time Plane s Speed Bird s Distance from Nest y Time Time

With a set up fee of 55 the total cost in dollars C to provide food for an event with p people is given by the function C p 16p 55 When the set up fee increases by 30 the new total cost in dollars T is given by the function T p C p 30 What is the description of the transformation from the graph of T to the graph of C Select the words or number that correctly complete the sentence The graph of T is a Horizontal translation Enter Value left V units from the graph of C