2D Geometry Questions and Answers

Suppose you took a 10 question quiz What is the probability you could get 3 questions correct by random guessing if each question has 4 choices Select one a 33 b 12 C 8 d 25

There are 16 marbles 5 are red and 11 are blue Use binomial probability to find the probability of choosing 3 reds and 1 blue with replacement Select one O a 27 b 12 c 16 d 8

Find the first 4 terms in the expansion of 1 x2 8 Use your answer to find the value of 1 01 8 Select one a 0 0823 b 1 838 c 1 083 Od 1

The following expression is known as the Binomial Theorem 1 b 1 C b C b2 Cb bn Select one True False

Find the first 4 terms in the binomial expansion of 1 4x 6 Select one Ca 1 24x 240x 128x O b 1 24x 24x 1280x3 O c 1 24x 240x 1280x O d 1 24x 240x 1280x

A bag contains 10 beads 2 black 3 white and 5 red A bead is selected at random The probability of selecting three red beads without replacing them is This is al independent dependent ambiguous event

A die with 12 sides is rolled What is the probability of rolling a number less than 11 Select one O a 1 2 b 5 6 O c 11 12 5 10 O d

Complete the following 7P4 7P3

If a certain job A can be performed in P different ways followed by another job B which can be performed in Q different ways then task A followed by task B can be perfomed in P x Q ways Select one True False

A regular decagon has a radius of 8 cm What is the approximate area of the decagon Recall that a decagon is a polygon with 10 sides O 188 cm O 198 cm O 304 cm O 375 cm

In deductive reasoning you start from a set of rules and conditions to determine what must be true O A induced B hypothetical C unknown D given

35p Classify the PDE n 1 2urz y2n Uyy ny2n uy for any integer n 1 and find its general solution by obtaining its CANONICAL FORM

6 Graph one cycle of the graph of f Label the intercepts and the high low points a f x 3cos 4x x 2 f x 4 sin x 1 4 8 f x 4 tan x f x 5 sin 2x b d

Given a 31 7 2k and b xi 4j 1k find x when a b 4

Consider the triangle 9 m A 15 m 12 m B

Use graphs to find the set 5 8 n 3 9 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The set is Type your answer in interval notation C B The set is the empty set

If a 31 4 and b 71 8 then a b round to the hundredth place W

If a vector a has a magnitude of 6 3 and b has a magnitude of 6 7 and the angle between them is approximately 136 2 what is the value of b Round to the nearest tenth

Given a 2 5 choose any vectors which would be orthoganal Select one or more a 5 2 b 5 2 C 2 5 d 2 5

and fb are orthogonal If a 4 5 and b x y then the ratio

How can we conclude that a and bare perpendicular if a b 0 Select one a If the vectors are perpendicular the magnitude of one of the vectors would be zero so the dot product would be zero Ob The graph of the vectors are in opposite quadrants Oc None of these Od The slopes of the vectors are reciprocals of one another

The dot product of two vectors is Select one O a an integer O b O c Od a vector a magnitude a real number

Solve the equation below Give exact solutions in simplified form Do not change fractions to decimals x 3x 4

Given the following vectors find 2a b 4 4 Select one O a 14 13 12 K 10 9 4 7 26 6 4 1 10 11

Vectors have some properties that are similar to real numbers Match the following k u v ku ku Choose 1 u k mi km v v u Choose Choose Choose Commutative Distributive Property

If u 2 4 and 7 4 6 then 2u A ww S A 10

If u 2 4 and 4 6 then what is the magnitude of 2 1 Round to the nearest hundredth

P Select one or more a 4 s A 4 P 87 6j 27 2j b 77 107 8 j c 2 0 57 3j 2 2 2j d 327 67 127 14j

Find the sum of the following vectors 4 7 and 3 8 A

Given 6 3 Choose the correct statements Select one or more a The direction of the vector is approximately 27 b This vector has a magnitude of 3 5 C c The direction of the vector is approximately 333 d This vector has an absolute value of 6 71 e The vector has a magnitude of 20

What is the directional angle for this vector 34 2 5 Round to the nearest degree 45 0 5 B 0 5 2 25

12 Let K be the midpoint of the side AB in ABCD and L divide diagonal AC in the ratio of AL LC 3 1 Then KLD A O O A 80 O Ko O B B 85 C 90 D 95 L D O

Given the triangle ABC if side b is 33 ft side c is 18 ft and angle A is 52 find side a Please round to one decimal Select one O a 37 6 ft O b 26 1 ft Oc 27 7 ft d 21 8 ft

or k is a zero of this polynomial If not determine p k p x 8x 4 14x 3 10x 2 26x 10 k 1

nd an orthonormal basis fort he solution spcae of the homogeneous system x y z 0 2x y 2z 0

Check whether the point lies on the line having the equation y 3x 2

a Describe the difference between que Apply your understanding of order of 3 15 8 2 9 14

Find the term indicated in the expansion x 3y 11 8th term

Instead of walking on the sidewalk around the perimeter students take a diagonal shortcut from corn corner across a rectangular vacant lot that measures 57 ft by 190 ft To the nearest foot how much distance do they save O 65 ft O 198 ft O 141 ft O 49 ft Time Remaining 08 ft

ISM Quiz 5 4 Ims svhs co k How to sketch polar curves Kri Which of the graphs below are the graph of the polar equation r 3cos 20 when changes from S

When graphing r 9cos 40 the cos 40 0 on the interval

B 6 3 E X m BAD m DAC AE 3 cm AB 6 cm AC 9 cm Yukar daki verilere g re ED x ka cm dir A 15 B 13 C 12 D 10 E S

Use the triangle given below to find an algebraic expression that is equivalent to the expression csc arccos 1 x For what range of values for x does this equivalence hold 8 1 1 x

Solve the inequality graphically Write the answer in interval notation x 4 less than equal to 5

ev Identify the quadrant or axis that the following point lies on If the point lies on an axis specify which part positive or negative of which axis x or y Answer 1 Point Selecting an option will display any further inputs needed to complete your answer O Quadrant I O Quadrant II O Quadrant III 0 9 O Quadrant IV Keypad Keyboard Shortcut

The graph below shows the function y log b x Which statement must be true about b Select one a 0 b 1 b b 1 c b 1 d b 0 3 2 1 21 3 4L 2 3 4 5 6 7 00 8

In the graph below the red graph is y cos x What function s represent the blue graph 4x 3 1 X 3 1 Select one or more a y cos x 3 b y cos x 4 c y cos x 2 d y cos x e y cos x 4 2x 3 1

Vrite a system of inequalities that describes all the given conditions and graph the feasible region of the system Joyce is the marketing director for a new company selling a fashion collection for young women and she wishes to place ads in two magazines magazine V and magazine E Joyce estimates that each one page ad in magazine V will be read by 1 8 million people and each one page ad in magazine E will be read by 1 3 million people Joyce wants to reach at least 8 million readers and to place at least 2 ads in each magazine Write a system of inequalities that describes all the given conditions Let x represent the number of ads in magazine V and y the number of ads in magazine E Choose the correct answer below y z 1 38 x 6 15 x 22 y 22 Round to two decimal places as needed Choose the correct graph below OA O C OD Q

K Graph the feasible region for the system of inequalities y 6x 2 y 3x 4 Use the graphing tool on the right to graph the feasible region for the system of inequalities Click to enlarge graph 10 B B 10 8 G T

In general if a single y value corresponds to multiple x values then the inverse function which has y values as inputs and x values as outputs isn t a function the inverse doesn t exist On a graph points with the me y value but different x values are on the same al ling