Geometry Questions

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

The point Com in the graph below represents 1 O

Given the vector 6 12 6 12 with a directional angle of

Which polar equation below is the graph of TT 5 5TT 6 7 TT 6 Select one 2TT 3 4T 3 a r sin 40 cos Ob r sin 50 cos 60 c none of these Od r sin 30 cos 30 5 5 TT 2 3TT 2 TT 3 5TT 3 TT 6 11TT 6 0 5

0 S 3 Select one O a x2 3 y2 5 1 O b x2 9 y2 5 1 O c x2 3 y2 5 1 O d x2 9 y2 5 1 88 ap

Match the following functions with their equivalent functions cos 0sec csc tan cot Choose Choose sec 1 cos 0 Choose

Choose the equation that matches the graph 5 Select one 10 x a x 1 y 4 4 b x 1 y 4 16 Oc x 1 y 4 16 Od x 1 y 4 16

Given the graph of two vectors choose the image which best represents the difference of u Hint Graph the vectors on graph paper then draw the resultant vector Select one a 4 4 4 k

Given a vector begins at 2 3 and ends at 2 then the components of the vector are 4

Find the length of side h Select one a a 175 mm 181 mm OC c 171 mm Od 177 mm b b F 124 mm 107 H 42 G

Solve the rational equation If the equation has no 6 x 6 4 x 4 15x 18 x 2 10x 24

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

The Horizontal Line Test If it is possible to draw a horizontal line that touches the graph in at least two places then the function does not have an inverse Parabolic graph with no inverse Same graph with a red horizontal line that touches the graph in two places When the inverse function exists we can sketch a graph by switching the roles of x and y For every point on the graph swap the x and y values Another way of describing this transformation is to reflect the graph over the line

When the inverse function exists we can sketch a graph by switching the roles of x and y For every point on the graph swap the x and y values Another way of describing this transformation is to reflect the graph over the line Example In the graph below is shown in black is shown in red and is shown in blue Line graph with f x black line its inverse red line and y x blue line all intersecting at 4 4 Question Choose the graph of the inverse function Hint The line is drawn in blue in the answer choices Half a parabola with the points starting 6 0 intersecting 2 2 ending 6 3point5

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

Math 2 SSS SAS AA State if the triangles in each pair are simila complete the similarity statement 1 H G 20 18 AFGH F 9 10 M L op

In circle C CD 3 and the area of shaded sector 37 Find the length of the arc highlighted below Express your answer as a fraction times 7 F S E D

Consider the following curve x 5 X 4 Find the slope m of the tangent line at the point 3 8 m y Find an equation of the tangent line to the curve at the point 3 8 y

Time left 0 54 4 A large totem pole in the state of Washington is 100 feet tall At a particular time of day the totem pore casts a 249 foot long shadow Find the measure of A to the nearest degree Select one a 35 b 45 C 22 d 68 249 ft 100 ft

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 At this time the hori distance from the airplane to the atoll is 4629 meters What is the height of the plane to the neares Select one a 4647 m b 460 m c 4611 m d 405 m 5 4629 m

Find the value of x Round the length to the nearest tenth 500 m Select one 40 a 321 4 m b 777 9 m c 652 7 m d 595 9 m x

Find the value of x to the nearest tenth Select one a 38 4 b 38 5 c 6 2 d 5 9 15 23

Find an equivalent value to cos 18 Select one a sin 18 b cos 72 c sin 72 d cos 162

Write the ratios for sin A and cos A A 10 Select one a b C d 26 24 sin A sin A sin A sin A 12 5 B 1 5 13 12 13 12 13 cos A cos A cos A cos A 5 13 12 13 5 13 5 12

Write the tangent ratios for ZY and ZZ 7 Z XO a Select one b C 4 d 65 Y tan Y tan Y tan Y 7 4 65 7 tan Z tan Z 4 tan Y tan Z 7 65 4 7 4 tan Z 65 4 4 65

Find the value of x to the nearest tenth x 55 Select one a 10 9 cm b 6 2 cm 8 9 cm c 12 7 cm d 15 5 cm

The lengths of the sides of a triangle are given Classify each triangle as acute right or obtuse 8 15 17 8 9 11 3 5 7 Choose Choose Choose

Find the value of x to the nearest tenth 12 Select one a 10 2 b 14 2 c 14 5 X d 10 7 320

Find the missing value to the nearest hundredth sin 5 19 Select one a 15 26 b 74 74 c 14 74 d 55 37

Find the missing value to the nearest hundredth cos 2 5 Select one a 66 42 b 21 8 c 23 58 d 63 21

Find the length of the leg If your answer is not an integer leave it in simplest radical form Select one a 24 24 Ob 12 2 288 d 2 3 C 45

Find the length of the hypotenuse 45 Select one a 18 b 6 C 12 3 2

A rectangular lot is 165 feet long and 90 feet wide How many feet of fencing are needed to make a diagonal fence for the lot Round to the nearest foot

Find the length of the missing side Leave your answer in simplest radical form Select one 10 ft a 206 ft b 2 74 ft c 26 ft 14 ft Time le

Find the length of the missing side Select one a 8 b 64 C 23 O d 4 17 15

Determine if the function in the graph is one to one 4 A The function is one to one B The function is not one to one Determine if the function in the graph is one to one A The function is one to one B The function is not one to one Determine if the function in the graph is one to one R

Determine the leading coefficient for the rational y 10 8 3 6 8 10

0 1 pt10099 Details A communications tower is located at the top of a steep hill as shown The angle of inclination of the hill is 79 A guy wire is to be attached to the top of the tower and to the ground 94 m downhill from the base of the tower The angle formed by the guy wire is 9 Find the length of the cable required for the guy wire 79 length of guy wire 9 94 m NOTE The picture is NOT drawn to scale m Enter your answer as a number your answer should be accurate to 2 decimal places

1 point 3sin x tan x 3 sin x 0 Find all angles in radians that satisfy the equation For each solution enter first the angle solution in 0 or 0 2 depending on the trigonometric function then the period When 2 or more solutions are available enter them in increasing order of the angles e g x 2 2k or x 3 2 k etc Note You are not allowed to use decimals in your answer Use pi for X or X or V

BY USING MATHEMATICA SOFTWARE 1 Given four points 0 1 1 2 2 2 and 3 1 with no order Plot a control polygon connecting four given points to generate the following cubic B zier curve DA a h c d e

Next question You can retry this question below Points A and B are separated by a lake To find the distance between them a surveyor locates a point C on land such than ZCAB 44 3 Find the distance across the lake from A to B C Get a similar question 459 yd distance B 315 yd NOTE The triangle is NOT drawn to scale yd 1 44 3 Enter your answer as a number your answer should be accurate to 2 decimal places Question Help Worked Example 1 A

core 0 7 3 7 answered 3 o Question 3 Details Submit Question 0 1 pt100 99 Find c if a 2 7 mi b 3 83 mi and ZC 41 9 degrees Enter c rounded to 3 decimal places C mi Assume LA is opposite side a LB is opposite side b and LC is opposite side c Question Help Video

3 3 43 3 3 a 10 pts Find the matrices A6 and A8 A 2 b 10 pts Use the matrices found in part 1 to find A 4 Question 3 20 points Let A be a 2 x 2 matrix

Question 9 0 1 pt100 99 Details 31 A pilot is flying over a straight highway He determines the angles of depression to two mileposts 5 3 mi apart to be 31 and 45 as shown in the figure 5 3 mi 450 A B NOTE The picture is NOT drawn to scale Find the distance of the plane from point A distance from A mi Find the elevation of the plane height mi Enter your answer as a number your answer should be accurate to 2 decimal places Question Help Worked Example 1

A 2x 16 L C I E F J 3x K H B D

Find a constant h for which the vectors 3 and h are orthogonal 6 pts

At what point do the curves r t t 5 t 35 t and r s 7 s s 2 s intersect x y z Find their angle of intersection 0 correct to the nearest degree 0