Complete the Square and Write the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } - 12 x - 10 y = - 12$$

question 316

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } - 12 x - 10 y = - 12$$

• A) \(( x - 6 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 49\)
• \(( 6,5 ) , r = 7\)
• B) \(( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 49\)
• \(( 5,6 ) , r = 7\)
• C) \(( x - 6 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 49\)
• \(( - 6 , - 5 ) , r = 49\)
• D) \(( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 49\)
• \(( - 5 , - 6 ) , r = 49\)

Use locational cost-volume analysis to identify the low-cost choice among alternatives.

Apply mathematical methods to compare and select the best site based on given parameters.

Interpret and construct graphical representations for facility location decision-making.

Understand the impact of factor weighting on location decision outcomes.

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