Solve the Problem $\frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1$

question 82

Multiple Choice

Solve the problem.
-A park has an elliptical shape with a major axis of 970 feet and a minor axis of 917 feet. Find the equation of the elliptical boundary.
a. Take the horizontal axis to be the major axis and locate the origin of the coordinate system at the
Center of the ellipse.
b. Approximate the eccentricity of the ellipse. Round to two decimal places.

• A) a. \(\frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1\)
• b. \(e \approx 0.11\)
• B) \(\mathbf { a } \cdot \frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1\)
• b. \(e \approx 0.33\)
• C) a. \(\frac { x ^ { 2 } } { 970 ^ { 2 } } + \frac { y ^ { 2 } } { 917 ^ { 2 } } = 1\)
• b. \(e \approx 0.33\)
• D) a. \(\frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1\)
• b. \(e \approx 0.34\)

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Definitions:

Equipment On Credit

The acquisition of machinery or equipment for business operations where payment is made through financing or on a deferred payment plan instead of upfront cash.

Debt-To-Equity Ratio

A measure used to evaluate a company's financial leverage, calculated by dividing its total liabilities by stockholders' equity.

Long-Term Debt

Financial obligations of a company that are due more than one year in the future, often in the form of loans or bonds.

Short-Term Debt

Financial obligations that are due for repayment within one year.