Find an Equation of the Circle with the Given Center $\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 324 } = 1$

question 5

Multiple Choice

Find an equation of the circle with the given center and radius.
-A bridge with a semi-elliptical arch extends over a river as shown. Find an equation of the ellipse that represents the arch of the bridge.

• A) \(\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 324 } = 1\)
• B) \(\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 81 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 144 } = 1\)
• D) \(\frac { x ^ { 2 } } { 324 } + \frac { y ^ { 2 } } { 144 } = 1\)

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Definitions:

Total Asset Turnover

A financial ratio that measures a company's efficiency in using its assets to generate sales revenue, calculated by dividing sales revenue by total assets.

Noncurrent Assets

Assets not expected to be converted into cash within one year or the operating cycle, including property, plant, and equipment.

Current Ratio

A liquidity ratio that measures a company's ability to pay short-term obligations with its short-term assets.

Stockholders' Equity

The residual interest in the assets of a corporation after deducting its liabilities, representing ownership's claim.