Determine the slope and y-intercept of the function.G(x) = -5x
A. m = 5; b = 0
B. m = 0; b = -5
C. m = - 
; b = 0
D. m = -5; b = 0
Answer: D
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Solve the problem.Water is poured into a empty funnel like barrel at a steady constant rate. The diameter of the barrel is 12 inches on the bottom and 24 inches at the top. The height h of the water h is a function of 
What can you say about 
?
A. 
> 0
B. 
= 0
C. 
= k, k is a constant
D. 
< 0
Give the value of the indicated trigonometric function of a vector with the indicated end point.(0, -2); Find cos ?.
A. 1 B. -2 C. 2 D. 0
For the measured quantity, state the set of numbers that is most appropriate to describe it. Choose from the natural numbers, integers, or rational numbers.The lengths of randomly cut pieces of string measured to the nearest inch
A. Integers B. Natural numbers C. Rational numbers
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.