Transform the equation by rotating the axes through the given angle. Identify the curve.x2 - y2 + 4 = 0, ? = 45°

A. x'y' = 4; ellipse
B. x'y' = 4; hyperbola
C. x'y' = 2; hyperbola
D. x'y' = 2; ellipse


Answer: C

Mathematics

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Find an equation y = mx + b that models the quantity y after x units of time.A quantity y is initially 40 and increases at a rate of 5 per minute.

A. y = 40x + 5 B. y = 40x - 5 C. y = 5x + 40 D. y = -5x + 40

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Graph the function. State whether it is increasing, decreasing, or constant..h(x) = -5x - 6

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Mathematics