Rewrite the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } + 12 x - 6 y - 164 = 0$$

question 41

Multiple Choice

Rewrite the equation in standard form. Find the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } + 12 x - 6 y - 164 = 0$$

• A) \(( x - 12 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 16\)
• center \(( 12 , - 6 ) , r = 4\)
• B) \(( x - 12 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 16\)
• center \(( - 12,6 ) , r = 4\)
• C) \(( x + 12 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 16\)
• center \(( - 12,6 ) , r = 4\)
• D) \(( x + 12 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 16\)
• center \(( 12 , - 6 ) , \mathrm { r } = 4\)

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Definitions:

Premium

The amount by which the price of a financial instrument or security, like an insurance policy, bond, or stock, exceeds its face value or nominal value.

Straight-Line Method

A technique for determining depreciation or amortization by uniformly spreading an asset's cost throughout its lifespan.

Amortizes

The process of gradually writing off the initial cost of an asset over a period, effectively spreading the cost over its useful life.

Accrued Interest

Accrued interest is the interest on a loan or bond that has accumulated since the principal investment or last payment period but has not yet been paid.