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In the Cartesian plane, a line runs through points (1,-5) and (5,10). Which of the following represents the slope of that line?

(A)

(B)

(C) 1

(D)

(E)

The Correct Answer
Explanation

Given the functions f and g are defined as f(a) = 3a - 4 and g(a) = 2a2 + 1 what is the value of f(g(a))?

(A)6a2 - 1 (B) 6a2 - 3 (C) 2a2 + 3a - 3 (D) -2a2 + 3a + 3 (E) 18a2 - 48a + 33

Correct Answer: A

In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ? image

(A)9 (B) 12.5 (C) 17 (D) 18 (E) 20.5

Correct Answer: C

The width of a rectangle is 27 feet and the length is 36 feet. What is the length of a diagonal of the rectangle in feet?

(A)63 (B) 54 (C) 45 (D) 42 (E) 36

Correct Answer: C

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