Give all solutions of the nonlinear system of equations, including those with nonreal complex components. x2 - xy + y2 = 32x2 + xy + 2y2 = 12
A. {(2, 1), (1, 2)}
B. {(1, 0), (-1, 0)}
C. {(2, 1), (-2, -1), (1, 2), (-1, -2)}
D. {(2, 0), (-2, 0), (1, 0), (-1, 0)}
Answer: C
Mathematics
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Simplify the expression. Assume that all variables are non-negative.
A. 
B. 9
C. 3
D. 6
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Find the asymptotes of the hyperbola.x2 - y2 - 4x - 8y - 16 = 0
A. y + 2 = (x - 4) and y + 2 = - (x - 4)
B. y + 4 = (x - 2) and y + 4 = - (x - 2)
C. y - 2 = (x + 4) and y - 2 = - (x + 4)
D. y + 4 = 
(x - 2) and y + 4 = - 
(x - 2)
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Find the given value.Find (f ? g)(4) when f(x) = x - 2 and g(x) = -4x2 + 12x - 4.
A. -40 B. -120 C. 120 D. -408
Mathematics
Graph the parabola. State the vertex of the parabola.y = x2 - 2x - 9
A. vertex (1, -10)
B. vertex (-1, -10)
C. vertex (1, 8)
D. vertex (-1, -8)
Mathematics