Find the Center, Foci, and Vertices of the Ellipse $$\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 64 } = 1$$

question 89

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 64 } = 1$$

• A) center at \( (0,0) \)
• foci at \( (0,8) \) and \( (4,0) \)
• vertices at \( (0,64),(16,0) \)
• B) center at \( (0,0) \)
• foci at \( (0,-8) \) and \( (0,8) \)
• vertices at \( (0,-64),(0,64) \)
• C)center at \( (0,0) \)
• foci at \( (-4 \sqrt{3}, 0) \) and \( (4 \sqrt{3}, 0) \)
• vertices at \( (-8,0),(8,0) \)
• D)center at \( (0,0) \)
• foci at \( (0,-4 \sqrt{3}) \) and \( (0,4 \sqrt{3}) \)
• vertices at \( (0,-8),(0,8) \)

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Definitions:

Fixed Cost

Expenses that do not change with the level of goods or services produced by a business, such as rent, salaries, and insurance.

Debt-to-Total-Assets Ratios

A measure that indicates what proportion of a company's assets is financed through debt.

Equity Ratios

Equity ratios measure a company's financial leverage and are calculated by dividing total equity by total assets.

Debt-to-Equity Ratios

A financial ratio indicating the relative proportion of shareholders' equity and debt used to finance a company's assets.