Identify the Conic by Writing the Equation in Standard Form $8 x ^ { 2 } + 8 y ^ { 2 } + 32 x + 144 y + 520 = 0$

question 82

Multiple Choice

Identify the conic by writing the equation in standard form. $8 x ^ { 2 } + 8 y ^ { 2 } + 32 x + 144 y + 520 = 0$

• A) \(\frac { ( x + 2 ) ^ { 2 } } { \frac { 69 } { 8 } } + \frac { ( y + 9 ) ^ { 2 } } { \frac { 69 } { 8 } } = 1\) ; ellipse
• B) \(\frac { ( x + 2 ) ^ { 2 } } { \frac { 11 } { 8 } } + \frac { ( y + 9 ) ^ { 2 } } { \frac { 11 } { 8 } } = 1\) ; ellipse
• C) \(( 8 x + 2 ) ^ { 2 } + ( 8 y + 9 ) ^ { 2 } = 320\) ; circle
• D) \(( x + 2 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 40\) ; circle
• E) \(( x + 2 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 20\) ; circle

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