On a sonar map in the standard (x,y) coordinate plane, the Yellow Submarine and the Sandwich Submarine are located at the points (-7,4) and (-2,6), respectively. Each unit on the map represents an actual distance of 5 nautical miles. Which of the following is closest to the distance, in nautical miles, between the two submarines?
(A) 5
(B) 19
(C) 27
(D) 30
(E) 67
A password for a computer system requires exactly 6 characters. Each character can be either one of the 26 letters from A to Z or one of the ten digits from 0 to 9. The first character must be a letter and the last character must be a digit. How many different possible passwords are there?
(A) less than 107(B) between 107and 108(C) between 108and 109(D) between 109and 1010(E) more than 1010
Correct Answer: C
In the standard (x, y) coordinate plane, a line passes through the points (1, -2) and (5, 10). At which of the following points does the line cross the y-axis?
(A)(-8, 0) (B) (-5, 0) (C) (0, 0) (D) (0, -5) (E) (0, -8)
Correct Answer: D
Rectangle ABCD lies in the standard (x,y) coordinate plane with corners at A(4,2), B(6,-1), C(1,-4), and D(-1,-1), and is represented by the 2 × 4 matrix . ABCD is then translated, with the corners of the translated rectangle represented by the matrix . What is the value of n?
(A) 0 (B) -1 (C) -2 (D) -3 (E) -4
Correct Answer: A
More ACT Math Exam Questions
- 1
When , which of the following must be true?
- 2
On an xy-graph, what is the length of a line segment drawn from (–3, 7) to (6, –5)?
- 3
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?
- 4
What is the median of the data given below?
18, 25, 19, 41, 23, 29, 35, 19
- 5
If g(x) is a transformation that moves f(x) three units to the right and then reflects it across the x-axis, then g(x) =