Convert the equation to the standard form for a hyperbola by completing the square on x and y.9y2 - 4x2 + 18y + 16x - 43 = 0

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1


Answer: B

Mathematics

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What will be an ideal response?

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Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 30°? If necessary, round the answer to the nearest tenth of a Newton.

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Mathematics