Provide an Appropriate Response $x$ -Intercepts At $( - 8,0 )$ And $( 8,0 )$

question 411

Multiple Choice

Provide an appropriate response.
-Which of the following inequalities satisfies the following description: the region inside an ellipse centered at the origin, with $x$ -intercepts at $( - 8,0 )$ and $( 8,0 )$ , and $y$ -intercepts at $( 0 , - 4 )$ and $( 0,4 )$ ?

• A) \(\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 4 } < 1\)
• B) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 16 } > 1\)
• C) \(\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 16 } < 1\)
• D) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 16 } < 1\)

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