Solve the problem.The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 units long. Express the area A of the rectangle in terms of x.

A. A(x) = 2x2
B. A(x) = 2x(3 - x)
C. A(x) = 2x(x - 3)
D. A(x) = x(3 - x)


Answer: B

Mathematics

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Provide an appropriate response.Use the tangent function to find the indicated part of triangle ABC. Round to four significant digits. Find a if B = 71° and b = 0.05 m.

A. 0.01722 m B. 2.904 m C. 0.1452 m D. 6.887 m

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If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation.The life span of the average male human being is approximately 37,843,200 minutes.

A. 3.78432 × 105 min B. 3.78432 × 107 min C. 3.78432 × 106 min D. 37.8432 × 106 min

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Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.x2 - 4x - 5

A. prime B. (x - 1)(x + 1) C. (x + 1)(x - 5) D. (x - 1)(x - 5)

Mathematics

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.The reflection of the graph of y = f(x) across the y-axis

A. (-2, -4) B. (2, 4) C. (-2, 4) D. (2, -4)

Mathematics