A hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard. The hedge will follow the asymptotes y=2/3 x and y=-2/3 x, and its closest distance to the center fountain is 12 yards. What is the equation that represents the hedge? *

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 51E
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A hedge is to be constructed in the shape of a hyperbola near a fountain
at the center of the yard. The hedge will follow the asymptotes y=2/3 x and
y3-2/3 x, and its closest distance to the center fountain is 12 yards. What is
the equation that represents the hedge?*
Your answer
A hall 100 feet in length is to be designed as a whispering gallery. If the
foci are located 25 feet from the center, how high will the ceiling be at the
focus? Round your answer to two decimal places.
Your answer
Transcribed Image Text:A hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard. The hedge will follow the asymptotes y=2/3 x and y3-2/3 x, and its closest distance to the center fountain is 12 yards. What is the equation that represents the hedge?* Your answer A hall 100 feet in length is to be designed as a whispering gallery. If the foci are located 25 feet from the center, how high will the ceiling be at the focus? Round your answer to two decimal places. Your answer
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