Solve the problem.A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time, and walk at the same speed along different legs of the triangle. If the area formed by the positions of the two people and their starting point (the right angle) is changing at  then how fast are the people moving when they are  from the right angle? (Round your answer to two decimal places.)

A. 1.33 m/s
B. 4.50 m/s
C. 0.67 m/s
D. 0.33 m/s


Answer: C

Mathematics

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Graph the linear inequality.x - y > -5

A.

B.

C.

D.

Mathematics

Solve the variation problem.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 22 minutes requires 15.4 gallons of water. Find the amount of water used in a shower lasting 4 minutes.

A. 3.5 gallons B. 2.1 gallons C. 2.8 gallons D. 88 gallons

Mathematics

Write the best-fit linear model for the data.Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. Find a linear function that approximates a student's score on Test B as a function of his or her score on Test A. 

A. y = -19.4 - 0.930x B. y = 19.4 + 0.930x C. y = -0.930 + 19.4x D. y = 0.930 - 19.4x

Mathematics

Solve the inequality using the x-intercept method or the intersection-of-graphs method. Express the solution set in interval notation.-3y - 1 > -4y - 9

A. (-10, ?) B. (-?, -10) C. (-8, ?) D. (-?, -8)

Mathematics