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For the circle whose standard equation is (x - 1)² + (y + 2)² = 8, the center and radius are:

(A)center = (-1, 2); radius = 2.

(B) center = (-1, 2); radius = 4.

(C) center = (0, 0); radius = 4.

(D) center = (1, -2); radius = 2.

(E) center = (1, -2); radius = 4.

A painter needs to reach the top of a tall sign in the middle of a flat and level field. He uses a ladder of length x to reach a point on the sign 15 feet above the ground. The angle formed where the ladder meets the ground is noted in the figure below as θ. Which of the following relationships must be true?

(A) (B) (C) (D) (E)

Correct Answer: A

Which of the following expressions is equivalent to the expression given below?

(2x³ – x - 1) - 3(x⁴ + 2x³ - 2x² – x + 3)

(F) x¹⁴ - 3 (G) -3x¹⁴ (H) -3x⁴ + 8x³ - 6x² - 4x + 8 (J) -3x⁴ + 4x³ - 2x² - 2x - 3 (K) -3x⁴ - 4x³ + 6x² + 2x - 10

Correct Answer: K

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