Write the Equation of the Ellipse That Has Its Center $( 2,0 )$

question 1

Multiple Choice

Write the equation of the ellipse that has its center at the origin, focus at $( 2,0 )$ and $\frac { 3 } { 2 }$ is one-half the length of the minor axis.

• A) \(\quad \frac { 4 x ^ { 2 } } { 25 } + \frac { 4 y ^ { 2 } } { 9 } = 1\)
• B) \(\quad \frac { 4 x ^ { 2 } } { 25 } + \frac { 4 y ^ { 2 } } { 9 } = - 1\)
• C) \(\quad \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\quad \frac { 2 x ^ { 2 } } { 3 } + \frac { 2 y ^ { 2 } } { 5 } = 1\)
• E) \(\quad \frac { 4 x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } = 1\)

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Definitions:

Efficient Level

The optimal point of production or consumption, where resources are utilized in the most effective manner, minimizing waste and maximizing benefit.

Pollution

The contamination of the natural environment by substances or energies that cause adverse effects on living organisms and ecosystems.

Marginal Social Benefit

The increased benefit for the public from producing or consuming an extra unit of a good or service.

Marginal Social Benefit

The additional benefit to society as a whole from the consumption of one more unit of a good or service.