The Graph of the Equation Is a Circle $x^{2}+2 x+y^{2}-4 y-19=0$

question 64

Multiple Choice

The graph of the equation is a circle. Find the center and the radius, and then graph the circle.
- $x^{2}+2 x+y^{2}-4 y-19=0$

• A) center \(( 1,2 ) ;\) radius \(= 2 \sqrt { 6 }\)
• B) center \(( 1 , - 2 )\); radius \(= 2 \sqrt { 6 }\)
• C) center \(( - 1,2 )\); radius \(= 2 \sqrt { 6 }\)
• D) center \(( - 1,2 )\); radius \(= 24\)

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Definitions:

Price Controls

Price controls are government-imposed limits on the prices charged for goods and services, aimed to protect consumers by preventing prices from reaching levels deemed too high or too low.

Economic Efficiency

A situation in which all resources are optimally allocated to serve each individual or entity in the best way while minimizing waste and inefficiency.

Equilibrium Price

The market condition price point where supply and demand for a product or service balance each other, leading to no inherent tendency for change.

Price Floors

Legally established minimum prices for goods or services, intended to ensure they cannot be sold below a certain price.