Find the Center, Foci, and Vertices of the Ellipse $$\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 9 } = 1$$

question 194

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 9 } = 1$$

• A) center at \(( 0,0 )\)
• foci at \(( - 6 \sqrt { 2 } , 0 )\) and \(( 6 \sqrt { 2 } , 0 )\)
• vertices at \(( - 9,0 ) , ( 9,0 )\)
• B) center at \(( 0,0 )\)
• foci at \(( 0 , - 3 )\) and \(( 0,3 )\)
• vertices at \(( 0 , - 9 ) , ( 0,9 )\)
• C) center at \(( 0,0 )\)
• foci at \(( 0 , - 6 \sqrt { 2 } )\) and \(( 0,6 \sqrt { 2 } )\)
• vertices at \(( 0 , - 9 ) , ( 0,9 )\)
• D) center at \(( 0,0 )\)
• foci at \(( - 9,0 )\) and \(( 9,0 )\)
• vertice at \(( - 81,0 ) , ( 81,0 )\)

---

Definitions:

Expenses

Costs incurred in the process of earning revenue, which are subtracted from revenues to calculate net income.

Financial Statements

Formal records of the financial activities and position of a business, person, or other entity.

Balance Sheet

A financial statement that provides a snapshot of a company’s financial position, showing assets, liabilities, and shareholders' equity at a specific point in time.

Income Statement

A financial statement that shows a company's revenues and expenses over a specific period, indicating the net profit or loss.