Find the Equation of the Circle with a Radius of 9

question 15

Multiple Choice

Find the equation of the circle with a radius of 9 and its center at the intersection of $4 x + y = 1$ and $- 5 x -$ $4 y = 7$ .

• A) \(( x - 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9\)
• B) \(( x - 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 81\)
• C) \(( x + 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 9\)
• D) \(( x + 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 81\)
• E) none of these

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Definitions:

Marginal Revenue

The increase in revenue that results from the sale of one additional unit of product or service.

Demand Curve

A graph depicting the relationship between the price of a good or service and the quantity demanded for a given period, typically showing a downward slope from left to right.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in its price, with elasticity indicating responsiveness.

Demand Curve

A graph depicting the relationship between the price of a good and the quantity demanded by consumers, typically showing an inverse relationship.