Evaluate the determinant.

A. 90
B. 66
C. -90
D. -114


Answer: C

Mathematics

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Find an equation for the line that passes through the given point and satisfies the given conditions.P = (-9, 2); parallel to v = -4i - 5j

A. y - 2 = - (x + 4)
B. -4x - 5y = 26
C. -4x - 5y = 41
D. -5x + 4y = 53

Mathematics

Solve the problem.Find an ordered pair that satisfies the equation 5x + y = -18 by letting y = -18.

A. (-18, -18) B. (-18, 0) C. (0, 0) D. (0, -18)

Mathematics

Solve the problem.In flying the 84 miles from Champaign to Peoria, a student pilot sets a heading that is 11° off course and maintains an average speed of 120 miles per hour. After 15 minutes, the instructor notices the course error and tells the student to correct his heading. Through what angle will the plane move to correct the heading and how many miles away is Peoria when the plane turns?

A. 163°; 54.85 mi B. 17°; 74.04 mi C. 17°; 54.85 mi D. 163°; 74.04 mi

Mathematics

Solve the problem.The table below shows the results of a consumer survey of annual incomes in 100 households.    What is the probability that a household has an annual income of $25,000 or more?

A. 0.71 B. 0.43 C. 0.57 D. 0.28

Mathematics