Write the Given Equation in the Form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$

question 255

Multiple Choice

Write the given equation in the form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$ . Identify the center and radius.
- $$x ^ { 2 } + y ^ { 2 } + 8 x - 10 y + 25 = 0$$

• A) \(( x + 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 16\)
• Center: \(( 4 , - 5 ) ; r = 4\)
• B) \(( x + 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 16\)
• Center: \(( - 4,5 ) ; r = 4\)
• C) \(( x + 8 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 25\)
• Center: \(( 8 , - 10 ) ; r = 25\)
• D) \(( x + 8 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 25\)
• Center: \(( - 8,10 ) ; r = 25\)

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