A heart-shaped ornament is made from a square and two semicircles, each of whose diameter is a side of the square. The ornament is shown in the standard (x,y) coordinate plane below, where 1 coordinate unit represents 1 inch. The coordinates of six points on the border of the ornament are given. What is the perimeter, in inches, of the ornament?
(A) 4 + 2π
(B) 8 + 4π
(C) 8 + 8π
(D) 16 + 4π
(E) 16 + 8π
For integers x and y such that xy = 14, which of the following is NOT a possible value of x?
(A) 2 (B) 1 (C) -7 (D) -8 (E) -14
Correct Answer: D
If 6x2 + x - c = (cx - 1)(3x + 2), what is the value of c?
（A）-2 （B） -1 （C） 2 （D） 3 （E） 6
Correct Answer: C
Which of the following are the coordinates of the image of J under a 90° clockwise rotation about the origin?
（A）(-4,0) （B） (0,-4) （C） (0,0) （D） (0,4) （E） (4,0)
Correct Answer: A
More ACT Math Exam Questions
- 1
A function f(x) is defined as even if and only if f(x) = f(-x) for all real values of x. Which one of the following graphs represents an even function f(x)?
- 2
The line with equation 5y - 4x = 20 does NOT lie in which quadrant(s) of the standard (x, y) coordinate plane below?
- 3What value must be added to 9x2 - 30x in order to complete the square (that is, make it a perfect square trinomial)?
- 4
If x and y are real numbers and 0 < x < y <
, which of the following gives the set of all values which could have? - 5
Jane ran around the perimeter of a rectangular park at a constant rate of 10 feet per second. The park has an area of 67,500 square feet, and its length is exactly three times its width. For how many seconds did Jane run?