Solve the problem.A satellite following the hyperbolic path shown in the picture turns rapidly at (0, 6) and then moves closer and closer to the line y = x as it gets farther from the tracking station at the origin. Find the equation that describes the path of the satellite if the center of the hyperbola is at (0, 0).

A.  -  = 1
B.  -  = 1

C.  -  = 1

D.  -  = 1


Answer: A

Mathematics

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Factor completely. If the polynomial is prime, so state.16x + 32x2 + 7x3 

A. 7x(x + 4)(x + 4) B. x(7x + 4)(x + 7) C. x(x + 4)(7x + 4) D. prime

Mathematics

Write the sum without sigma notation and evaluate it.

A. 6 sin  + 36 sin  + 216 sin  = 129
B. 6 + 36 + 216 = 258
C. 6 sin  + 216 sin  = 111
D. 6 sin  + 36 sin  + 216 sin  = 129

Mathematics

Find the difference quotient of g.g(x) = -3x3

A. -9x2 B. -3x2 - 3xh - 3h2 C. -9x2 - 9xh - 3h2 D. -9x2 - xh - h2

Mathematics

Provide an appropriate response.Suppose the height h in feet of fireworks fired straight upward from the ground is given h = 160t - 16t2 where t is in seconds. When will the fireworks be 400 feet off the ground?

Fill in the blank(s) with the appropriate word(s).

Mathematics