two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B being 15 km east of A. A pumping station is to be constructed (along the river) to supply water for two cities. Where should the station be located so that the amount of pipe is a minimum?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
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two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B being
15 km east of A. A pumping station is to be constructed (along the river) to supply water for two cities.
Where should the station be located so that the amount of pipe is a minimum?
3 km east of A
4 km east of A
C 9 km east of A
6 km east of A
Transcribed Image Text:two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B being 15 km east of A. A pumping station is to be constructed (along the river) to supply water for two cities. Where should the station be located so that the amount of pipe is a minimum? 3 km east of A 4 km east of A C 9 km east of A 6 km east of A
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