Write the Standard Form of the Equation of the Circle $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$

question 16

Multiple Choice

Write the standard form of the equation of the circle with the given characteristics. center: (-1,-5) ;radius: 6

• A) \(( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36\)
• B) \(( x + 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 6\)
• C) \(( x + 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 36\)
• D) \(( x - 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 6\)
• E) \(( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36\)

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Definitions:

Debtor

An individual or entity that owes a debt to another; the opposite party being a creditor.

Secured Creditor

A creditor that has a legal claim, called a lien, on the debtor's assets, ensuring priority payment if the debtor defaults on the obligation.

Unsecured Creditor

A creditor who extends credit without requiring specific collateral to secure the debt owed by the borrower.

Collateral

Assets pledged by a borrower to secure a loan or credit, which can be seized if the loan is not repaid.