2D Geometry Questions and Answers

Which trigonometric statement is NOT an identity Select one a cse 0 1 cot 0 b 1 cos sin 0 c 1 sin 0 cos 0 Od 1 tan 0 sec 0

Solve each equation to the nearest tenth Use the given restriction tan 1 4 for 180 270

7 10 points Given ui 5j and v 3i 4j find i the dot product u ii 2u 3v

rom what you learned about radians which circle best represents how radians are meas elect one a O b OC 66 42 44 41 41 a 44 SA a 41 44

Use an addition or subtraction formula to find the ex sin 67T 44 COS 3T 11 COS 67T 44 sin 3 T 11

ividing sin 0 cos20 1 by yields 1 cot csc

Find all the values of arcsin 3 Select one or more 0 0 a 3 b 5 C KM 0 e f d 7 g 3 5n 6 6 2x 3 4 3 11x 6

The angle 810 rotate clockwise counter clockwise full time s around the origin and is radians

Simplify the following Hint Use the unit circle sin 5m 3 Select one O a 1 2 Ob undefined OC 3 2 d 3 2

Which trig functions are equal to Select one or more 3A a tan 32 b sin st C cos d cos e sin 11 it 16

Use the graph of the function f x to answer the questions below 6 4 2 6 4 2 2 4 12 4 6 a On what interval s is f x increasing If necessary you should use the union symbol U to indicate that f x is increasing on multiple intervals b What is the local minimum of f x Enter your answer as an ordered pair c What is the local maximum of f x Enter your answer as an ordered pair

r t 5 4 sint cost 4 3 2 1 A Clear All Draw 5 4 3 2 1 M Z 2 3 4 5 1 2 3 4 5

An experiment consists of rolling two fair number cubes The diagram shows the sample space of all equally likely outcomes Find the probability of rolling two 2 s Express your answer as a fraction in simplest form DDD DE DA 03 06 01 0 03 0 BADHO BR BA BO AN B 88 O None of the other answers are correct

Find the Domain and the value field 7 y f x 4 3 2 3 2 3 X

the figure In the given figure lines a and b are parallel Which angles can be proven to be congruent to angle 1 1 4 3 6 a

Find the sum of the first 6 terms of the geometric sequence 7 14 28 Select one a 441 Ob 286 O c 550 d 443

The series 20 24 28 8 34 56 is The series divergent convergent can not be determined The sum

Find the sum of the first seven terms of the geometric sequence 2 10 50 Select one a 44 002 b 211 O c 31 234 Od 39 062

Given the function f x 150 2 Complete the following sentence An acidophilus culture containing bacteria after 12 hours bacteria in population every hour Predict the numbe

The graph below shows the function f x bx Which must be true about b TU 9 8 5 4 3 2 1 Select one a b 1 b b 1 c b 0 d 0 b 1 D 2N 7 N 65432 6 3 2 2 3 4 5

If f x 5x then find the value off 2 Select one a 1 Ob 25 O c 1 25 O d 5

If f z 2 Can f z ever become zero Select one a Yes b No

The function f x demonstrate quadratic increase linear growth exponential decay exponential growth linear degression

Find EF in the trapezoid EF x 7 A D A 4x E 35 B

Find the measures of the numbered angles in the kite m 1 O B A 49 D

Find the values of the variables in the kite X Type an integer or a fraction 3x 5 Jo 4x 40 8y 50

Find the measures of the numbered angles in the kite shown to the right m21 38 S 1 3 4

Luke incorrectly graphed the function g x log x 1 1 transformations of the graph of f x log x First he stated using what transformations to perform Then he drew the graph 1 A shift left 1 unit 2 A vertical compression by a factor of 1 3 A shift down 1 unit 2 1 04 2 y 3 1 2 3 1 2 3 3 4 What mistakes did Luke make Describe the correct transformations to ge

Solve for x Round to the nearest hundredth when necessary logsx4 2 5

Solve the following equation and find the value of x for which the logarithm is defined logx 4x 3 2 Select one a 2 b 1 O c 3 d 4

Solve the following equation log 9 27 x elect one a 2 3 b 3 2 c 4 3 d 3 4

Solve for x x log 2 2 Select one O a 1 2 Ob 2 OC 0 O d 1

Which group shows the values in the order from greatest to least Select one a log 10 In 10 log e In 1 b In 1 log 10 In 10 log e Oc log e In 10 log 10 In 1 Od In 10 log 10 log e In 1

The logarithm log x 5 2x is defined for x 3 Select one True False

If f x 1 then find the value of the function at x 0 Select one a undefined Ob 0 O c 10 d 1

Simplify 3lne Select one O a 3 b In 3 c 3x Od 1

Find the value of log681 Round value to the nearest hundredth place

When applying the change of base theorem to find log 75 there are several methods for determining the value Choose all that apply Select one or more a log75 log5 b log15 C d log5 log75 In75

Use Cramer s rule to compute the solutions of the systems x1 x2 3 3x1 2x3 0 x2 2x3 2

True O False Question 8 The eight elements of reasoning are not just fundamental they are universal True 1 5 pt

Find the value of x Round the length to the nearest tenth 10 yd 23 6 yd 5 1 yd 4 6 yd 11 yd Not drawn to scale 25 X

Find AM in the parallelogram if PN 15 and AO 6 The diagram is not to scale M P O 15 O 12 O 7 5 N

2 Let ABC be a right angled triangle such that ZA 90 AB AC and let M be the mid point of the side AC Take the point P on the side BC so that AP is vertical to BM Let H be the intersection point of AP and BM 1 Find the ratio of the areas of the two triangles AABH AAHM 2 Find the ratio BP PC

What is the value of x given that AE BD A ES D 099 10 7 2 03 10 11 26 11 7 C

Evaluate the following logarithm without using a calculator log 9 3 Select one a 1 4 b 4 c 1 d 2

32 1 1 3 2 1 1 2 A y 2x 5 B y 2x 1 6 x 3x 3 1 2 3 The equation of this line is y 2x 3 Which of the following shows a way that we could change the equation to shift the line downward

In the rhombus m 1 15x m 2 x y and m 3 30z Find the value of each variable The diagram is not to scale 3 2 1 Ox 12 y 84 z 6 O x 12 y 174 z 3 x 6 y 84 z 3 Ox 6 y 174 z 6

The Venn diagram shows the number of students in an eighth grade class taking art and drama as their electives What is the probability of a student chosen at random taking either of these subjects as an elective 8th Grade Art 34 78 OA 107 SOB OC 92 107 15 107 14 Drama 44 15

In parallelogram DEFG DH x 2 HF 2y GH 4x 3 and HE 5y 1 Find the values of x and y The diagram is not to scale D Ox 8 y 5 Ox 6 y 4 Ox 4 y 6 Ox 5 y 8 H I R E

The function shown below is f z We are interested in the transformed function g x 2f 2 a Describe all the transformations g z has made to f z shifts stretches etc b NEATLY sketch the transformed function g z and upload your graph as a PDF document below You may use graph paper if you want Be sure to label your vertical and horizontal scales so that I can tell how big your function is N