Write the Standard Form of an Equation of the Ellipse $( - 13,4 )$

question 5

Multiple Choice

Write the standard form of an equation of the ellipse subject to the given conditions.
-Foci: $( - 13,4 )$ and $( 19,4 ) ;$ Eccentricity: $\frac { 4 } { 5 }$

• A) \(\frac { ( x - 3 ) ^ { 2 } } { 400 } + \frac { ( y - 4 ) ^ { 2 } } { 144 } = 1\)
• B) \(\frac { ( x + 3 ) ^ { 2 } } { 144 } + \frac { ( y + 4 ) ^ { 2 } } { 400 } = 1\)
• C) \(\frac { ( x + 3 ) ^ { 2 } } { 400 } + \frac { ( y + 4 ) ^ { 2 } } { 144 } = 1\)
• D) \(\frac { ( x - 3 ) ^ { 2 } } { 144 } + \frac { ( y - 4 ) ^ { 2 } } { 400 } = 1\)

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