Find the Center and Vertices of the Ellipse $$x ^ { 2 } + 16 y ^ { 2 } - 2 x - 256 y + 1009 = 0$$

question 107

Multiple Choice

Find the center and vertices of the ellipse.
$$x ^ { 2 } + 16 y ^ { 2 } - 2 x - 256 y + 1009 = 0$$

• A) center: \(( 8,1 ) \quad\) vertices: \(( 4,1 ) , ( 12,1 )\)
• B) center: \(( - 1 , - 8 ) \quad\) vertices: \(( - 2 , - 8 ) , ( 0 , - 8 )\)
• C) center: \(( 1,8 ) \quad\) vertices: \(( 0,8 ) , ( 2,8 )\)
• D) center: \(( 1,8 )\) vertices: \(( - 3,8 ) , ( 5,8 )\)
• E) center: \(( - 1 , - 8 ) \quad\) vertices: \(( - 5 , - 8 ) , ( 3 , - 8 )\)

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Definitions:

Accrued Interest

Interest that has been incurred on a loan or bond but has not yet been paid out to the lender.

Bonds

Long-term debt securities issued by corporations, governments, or other entities to finance operations or projects, which obligate the issuer to pay interest to bondholders.

Accrued Interest

The interest that has accumulated on a bond or loan since the last interest payment was made but has not yet been paid to the lender.