Pre-Calc/Chapter 8: Analytic Geometry in Two- and Three-Dimensions/8.3 Hyperbolas/8.3.6 Solve Apps: Hyperbolas Solve the problem.A comet follows the hyperbolic path described by  -   = 1, ... Solve the problem.

A comet follows the hyperbolic path described by  -   = 1, where x and y are in millions. If the sun is the focus of the path, how close to the sun is the vertex of the path?
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1.0000000 0.3333333 0 true true abc 2 million Incorrect 20 million Incorrect 4.5 million Incorrect 2.5 million Correct Solve the problem.The roof of a building is in the shape of the hyperbola  Solve the problem.

The roof of a building is in the shape of the hyperbola  where x and y are in meters. Refer to the figure and determine the height h of the outside walls.

_{a = b = 5 m}]]> 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 1.0000000 0.3333333 0 true true abc -39 m Incorrect 59 m Incorrect 89 m Incorrect 9.4 m Correct Solve the problem.The roof of a building is in the shape of the hyperbola  Solve the problem.

The roof of a building is in the shape of the hyperbola  where x and y are in meters. Determine the distance, w, the outside walls are apart, if the height of each wall is 7 m.
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 1.0000000 0.3333333 0 true true abc 13.3 m Correct 44 m Incorrect 7.3 m Incorrect 6.65 m Incorrect