Write the Standard Form of an Equation of the Ellipse $( 0,10 )$

question 15

Multiple Choice

Write the standard form of an equation of the ellipse subject to the given conditions.
-Vertices: $( 0,10 )$ and $( 0 , - 10 )$
Passes through $\left( - \frac { 32 } { 5 } , 6 \right)$

• A) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 100 } = 1\)
• B) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 100 } = 1\)
• C) \(\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 36 } = 1\)
• D) \(\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 64 } = 1\)

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Definitions:

Total Utility

The total satisfaction received from consuming a particular quantity of goods or services.

Money Income

The complete sum of money earned by an individual or a household that includes earnings from work, salaries, and additional income sources.

Budget Line

A graphical depiction of all possible combinations of two goods that can be purchased with a given budget and prices.

Price Ratio

The ratio of the prices of two goods or services, often used in the context of trade or barter.