Solve the Problem $( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25$

question 101

Multiple Choice

Solve the problem.
-The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25$ , $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100$ . Determine the location of the epicenter.

• A) at \(( - 3,6 )\)
• B) at \(( - 1,3 )\)
• C) at \(( - 1,4 )\)
• D) at \(( - 2,4 )\)

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Definitions:

Average Variable Cost

The variable cost of production divided by the quantity produced, showing the cost of producing each additional unit.

Average Total Cost

The total cost of production divided by the number of units produced, representing the per-unit cost of production for a firm.

Rising

An increase or upward trend in value, quantity, or importance.

Average Variable Cost

The total variable cost divided by the number of units produced, representing the variable cost per unit of output.