Home->ACT Math

In the standard (x,y) coordinate plane, what is the slope of the line parallel to the line y = x - 3?

(A)-3

(B) -2

(C) -

(D)

(E) 2

Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.

The angle opposite the 120-foot side measures about 65.2°. Greg would like to make a second sail. This one will still be a right triangle with a 50-foot side as one leg, but the 120-foot side will be shortened until the angle opposite that side is about 10°. By about how many feet will Greg need to shorten the 120-foot side?

(Note: sin 10° ≈ .17, cos 10° ≈ .98, tan 10° ≈ .18)

(F) 9 (G) 49 (H) 71 (J) 111 (K) 122

Correct Answer: J

Points (2, - 2) and (3,10) lie on the same line in the standard (x,y) coordinate plane. What is the slope of this line?

(A) 12 (B) 8 (C) (D) -8 (E) -12

Correct Answer: A

(4x⁴ y⁴)⁴ is equivalent to:

（A）xy （B） 16x⁸ y⁸ （C） 16x¹⁶ y¹⁶ （D） 256x⁸ y⁸ （E） 256x¹⁶ y¹⁶

Correct Answer: E