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The Locations of Three Receiving Stations and the Distances to the Epicenter

question 428

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The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: (x+5) 2+(y+3) 2=4,(x+7) 2+(y+5) 2=4,(x1) 2+(y+13) 2=100( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 4 , ( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4 , ( x - 1 ) ^ { 2 } + ( y + 13 ) ^ { 2 } = 100 . Determine the location of the epicenter.


Definitions:

Transport Density

A measure of how much weight or volume of cargo is transported over a specific distance, often used in freight and logistics to plan and optimize transport loads.

Wealth of Nations

A seminal book by Adam Smith, which discusses economics, markets, and the division of labor, foundational to classical economics.

Adam Smith

An 18th-century Scottish economist and philosopher, best known for his influential book "The Wealth of Nations," which is considered a foundational work in classical economics.

Labor Content

The total amount of work, measured in hours or costs, required to produce a good or service.

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