Rotate the coordinate axes to change the given equation into an equation which has no cross product (xy) term. Identify the graph of the equation as a hyperbola, ellipse, parabola, a straight line, or parallel lines.9x2 - xy + 11y2 - 4x + 9y - 9 = 0
A. -8.882u2 + 11.118v2 + 9.678u - 1.825v - 9 = 0; Hyperbola
B. -8.882u2 + 11.118v2 - 1.825u + 9.678v - 9 = 0; Hyperbola
C. 11u2 + 11.118v2 - 1.825u + 9.678v - 9 = 0; Ellipse
D. 11.118v2 - 1.825u + 9.678v - 9 = 0; Parabola
Answer: C
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Solve the equation.47x = 64
A. x = 
B. x = 
C. x = 64
D. x = 81
Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.12z2 - 7z - 12
A. (12z - 4)(z + 3) B. prime C. (3z + 4)(4z - 3) D. (3z - 4)(4z + 3)
Identify the vertex of the given parabola.f(x) = (x + 2)2
A. 
B. 
C. 
D. 
An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = 3 sin 3t meters
A. displacement = 3 meters; period = 3 ? seconds; f = 
oscillations/second
B. displacement = -3 meters; period = 
? seconds; f = 
oscillations/second
C. displacement = 3 meters; period = 
? seconds; f = 
oscillations/second
D. displacement = 3 meters; period = 
seconds; f = 
? oscillations/second