The centroid of a triangle lies at the intersection of the triangle's medians, because it lies one-third of the way from each side towards the opposite vertex. Use this result to find the centroid of the triangle whose vertices appear as following.(-2, 0), (2, 0), (0, 8)
A. (0, 
)
B. (0, 4)
C. (0, 
)
D. (0, 8)
Answer: C
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Solve the problem.Jack is currently driving into a headwind (17% decrease). If his normal mileage is 50 mpg, what will his car's mileage be in the headwind? Round your answer to the nearest tenth.
A. 67 mpg B. 7.3 mpg C. 50 mpg D. 41.5 mpg
Factor by grouping.54 - 9x - 6s + xs
A. (6 + x)(9 - s) B. (6 + x)(9 + s) C. (6 - x)(9 + s) D. (6 - x)(9 - s)
Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation 
), and factor f(x) into linear factors.f(x) = x3 + 6x2 - 3x - 18
A. -
, multiplicity 2; -3; f(x) = (x + 
) 2(x + 3)
B. -6, -3, 3; f(x) = (x + 6)(x + 3)(x - 3)
C. -
, multiplicity 2; -
, multiplicity 2; f(x) = (x + 
) 2(x + 
)2
D. -6, -
, 
; f(x) = (x + 6)(x + 
)(x - 
)
Determine the real solutions to the system of nonlinear equations.y = x2 - 6x + 9x + y = 3
A. (-2, 5), (-3, 6) B. (3, 0) C. (2, 1), (3, 0) D. (2, 5), (3, 0)