Factor the trinomial.36 - 13x + x2

A. (x - 4)(x - 9)
B. (x - 4)(x + 9)
C. (x - 36)(x - 1)
D. (x + 4)(x + 9)

Answer: A

Mathematics

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Find all values of a for which f(a) is the indicated value.f(x) = 10x - ; f(a) = 1

A. - , 
B. - , - 
C. - , 2
D. - , 1

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Mathematics

Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $40 and on an SST ring is $30?

A. 14 VIP and 10 SST B. 14 VIP and 14 SST C. 10 VIP and 14 SST D. 12 VIP and 12 SST

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Mathematics

Decide whether or not the points are the vertices of a right triangle.Consider the three points A = (7, 7), B = (9, 11), C = (11, 10). Determine whether the triangle ABC is a right triangle. Explain your reasoning.

A. The side lengths of triangle ABC are d(A, B) = 3, d(A, C) = 5, d(B, C) = .  
[d(A, B)]2 + [d(B, C)]2 = (3)2 + ()2 = 18 + 5 = 23 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
B. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 5, d(B, C) = .  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + ()2 = 20 + 5 = 25 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
C. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 2, d(B, C) = 2.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + 22 = 20 + 4 = 24 
[d(A, C)]2 = (2)2 = 24
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
D. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 5, d(B, C) = 2.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + 22 = 20 + 4 = 24 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.

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Mathematics

Write a slope-intercept equation for a line with the given characteristics.m = 0; passes through (5, -9)

A. x = 5 B. y = 5 C. y = -9 D. x = -9

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Mathematics