In the standard (x,y) coordinate plane below, the base of a right triangle lies along the x-axis and is bisected by the y-axis. The vertex of the angle opposite the base is on the graph of the parabolic function f(x) = 2x2 - 4. Let b represent any value of x such that - < x < 0. Which of the following is an expression in terms of b for the area, in square coordinate units, of any such right triangle?
(A) 4b4 - 16b2 + 16
(B) 4b3 - 8b
(C) 2b3 - 4b
(D) 2b2 + b - 4
(E) b2 - 4b + 4
Find the area, in square units, of the circle shown by the equation (x 5)2 + (y 2)2 = 36
（A） 4π （B） 25π （C） 25π （D） 36π （E） 48π
Correct Answer: D
If f(x) = x2+ 9 and g(x) = 24 + 4x,what is the value of ?
(F) 0.75(G) 0.8(H) 1.2(J) 1.25(K) 1.75
Correct Answer: J
In a poll, 44 people were in favor of constructing a new high school, 58 were against it, and 8 people had no opinion. What fraction of those people polled were in favor of constructing a new high school?
（A） （B） （C） （D） （E）
Correct Answer: C
More ACT Math Exam Questions
- 1Which of the following is closest to the perimeter of quadrilateral FGHJ, in coordinate units?
Lisa has 5 fiction books and 7 nonfiction books on a table by her front door. As she rushes out the door one day, she takes a book at random. What is the probability that the book she takes is fiction?
- 3In the figure all angles are right angles and each dimension given is in inches. What is the perimeter of the figure in inches?
- 4Which of the following is the equation for a circle with diameter , given that a = (4, 2) and b = (8, -4)?
- 5The figure below shows a small square inside of a larger square. The smaller square has sides 3 inches long, and the area of the shaded region is 16 square inches. What is the length, in inches, of one side of the larger square?