Solve the problem.The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 8 units long. Express the area A of the rectangle in terms of x.

A. A(x) = 2x(x - 4)
B. A(x) = 2x2
C. A(x) = 2x(4 - x)
D. A(x) = x(4 - x)


Answer: C

Mathematics

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Solve the problem.Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in the interval  If so, where?

A. Yes, at x = , x = 
B. Yes, at x = 
C. Yes, at x = , x = 
D. No

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Multiply and write answer in lowest terms.1 × 

A. 2
B.
C. 1
D.

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Use the counting principle to obtain the answer.At a lumber company that sold shelves, a customer could choose from 3 types of wood, 4 different widths and 5 different lengths. How many different types of shelves could be ordered?

A. 35 B. 36 C. 60 D. 12

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Solve the problem.Find the centroid of the region cut from the fourth quadrant by the circle x2 + y2 = 25.

A.  =  = - 
B.  =  = - 
C.  = -  = 
D.  =  = - 

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