Write an Equation for the Ellipse $( - 6 , - 3 ) , ( 0 , - 3 )$

question 18

Multiple Choice

Write an equation for the ellipse.
-foci at $( - 6 , - 3 ) , ( 0 , - 3 )$ ; major axis length of 10

• A) \(\frac { ( \mathrm { x } + 4 ) ^ { 2 } } { 25 } + \frac { ( \mathrm { y } - 3 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 25 } + \frac { ( x - 3 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y + 4 ) ^ { 2 } } { 25 } + \frac { ( x + 3 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( x + 3 ) ^ { 2 } } { 25 } + \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\)

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Definitions:

Dangling Modifier

A word or phrase that modifies a word not clearly stated in the sentence, often leading to unclear or amusing interpretations.

Misplaced Modifier

A word or phrase that is incorrectly placed in a sentence such that it appears to modify an unintended word, leading to ambiguity or confusion.

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