Complete the Square and Write the Equation in Standard Form $$x ^ { 2 } + 8 x + 16 + y ^ { 2 } + 2 y + 1 = 36$$

question 83

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$x ^ { 2 } + 8 x + 16 + y ^ { 2 } + 2 y + 1 = 36$$

• A) \(( x + 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 36\)
• \(( - 4 , - 1 ) , r = 6\)
• B) \(( x + 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 36\)
• \(( - 1 , - 4 ) , r = 6\)
• C) \(( x + 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 36\)
• \(( 4,1 ) , r = 36\)
• D) \(( x + 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 36\)
• \(( 1,4 ) , \mathrm { r } = 36\)

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