Find the Center, Vertices, and Foci of the Ellipse with the Given

question 41

Multiple Choice

Find the center, vertices, and foci of the ellipse with the given equation.
- $$5 x ^ { 2 } + 7 y ^ { 2 } = 35$$

• A) Center: \(( 0,0 )\); Vertices: \(( - \sqrt { 7 } , 0 ) , ( - \sqrt { 7 } , 0 )\); Foci: \(( - \sqrt { 2 } , 0 ) , ( \sqrt { 2 } , 0 )\)
• B) Center: \(( 0,0 )\); Vertices: \(( 0 , - 7 ) , ( 0,7 ) ;\) Foci: \(( 0 , - 2 \sqrt { 6 } ) , ( 0,2 \sqrt { 6 } )\)
• C) Center: \(( 0,0 )\); Vertices: \(( 0 , - \sqrt { 7 } ) , ( 0 , - \sqrt { 7 } )\); Foci: \(( 0 , - \sqrt { 2 } ) , ( 0 , \sqrt { 2 } )\)
• D) Center: \(( 0,0 )\); Vertices: \(( - 7,0 ) , ( 7,0 )\); Foci: \(( - 2 \sqrt { 6 } , 0 ) , ( 2 \sqrt { 6 } , 0 )\)

---

Definitions:

Future Value

The value of an investment or a sum of money projected to grow by a specific date, factoring in compound interest or returns.

Interest Rate

The percentage of a sum of money charged for its use, which can vary based on factors such as inflation, supply and demand of credit, and governmental policy.

Annual

Relating to a period of one calendar year, used to measure or describe events, reports, or statistics that occur or are accumulated yearly.

Bank Account

An account held at a financial institution that allows for the deposit and withdrawal of money.