A triangle with vertices at (x1, y1), (x2, y2), and (x3, y3) has area equal to the absolute value of D, where . Use this information to solve the problem.Use D to determine whether the three points are collinear. (-2, -9), (4, 9), (2, 5)

A. The points are collinear.
B. The points are not collinear.


Answer: B

Mathematics

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Use identities to simplify the expression.tan2 x csc2 x

A. tan2 x B. cos3 x C. sin x D. sec2 x

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Solve the motion problem.A cyclist bikes at a constant speed for 24 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 29 miles. Find his speed.

A. 4 miles per hour B. 7 miles per hour C. 6 miles per hour D. 5 miles per hour

Mathematics

Solve the problem.The graph shows the total cost y (in dollars) of owning and operating a minivan where x is the number of miles driven.Find the slope of the line passing through the two points shown and use your answer to complete this statement: For the range of miles shown, the cost of owning and operating a minivan increases by approximately  per 

style="vertical-align: -10.0px;" /> driven. A. $0.18 per mile B. $20.00 per mile C. $5.67 per mile D. $0.25 per mile

Mathematics

Solve.A nuclear cooling tower cross section is a hyperbola having a diameter of 50 ft at the center. The distance between the two foci is 96 ft. What is the equation for the hyperbola?

A.  -  = 5
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics