The cross section of a cooling tower of a nuclear reactor is in the shape of a hyperbola and can be modeled by the equation xx² (yy-265)² 8100 25600 Where xx and yy are measured in feet. The top of the tower is 500 feet above the base. a) Using the information from the equation, label the center and vertices on the graph below with points and ordered pairs. X b) Determine the diameter of the tower at the base. Round to the nearest foot. c) Determine the diameter of the tower at the top. Round to the nearest foot.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.4: Hyperbolas
Problem 184E: In your own words, define a hyperbola and write the equation of a hyperbola centered at the origin...
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. The cross section of a cooling tower of a nuclear reactor is in the shape of a hyperbola and can be modeled
by the equation
xx²
(yy-265)²
-=1
8100
25600
Where xx and yy are measured in feet. The top of the tower is 500 feet above the base.
a) Using the information from the equation, label the center and vertices on the graph below with points and
ordered pairs.
b) Determine the diameter of the tower at the base. Round to the nearest foot.
c) Determine the diameter of the tower at the top. Round to the nearest foot.
Transcribed Image Text:. The cross section of a cooling tower of a nuclear reactor is in the shape of a hyperbola and can be modeled by the equation xx² (yy-265)² -=1 8100 25600 Where xx and yy are measured in feet. The top of the tower is 500 feet above the base. a) Using the information from the equation, label the center and vertices on the graph below with points and ordered pairs. b) Determine the diameter of the tower at the base. Round to the nearest foot. c) Determine the diameter of the tower at the top. Round to the nearest foot.
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