Find the Equation of the Circle with a Radius of 9

question 40

Multiple Choice

Find the equation of the circle with a radius of 9 and its center at the intersection of $5 x + y = 20$ and $2 x -$ $3 y = - 9$ .

• A) \(\quad ( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9\)
• B) \(\quad ( x - 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 81\)
• C) \(\quad ( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 81\)
• D) \(\quad ( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 9\)
• E) \(\quad ( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 81\)

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Definitions:

Tenancy At Will

A leasehold interest that occurs when property is leased for an indefinite period of time and is terminable at the will of either landlord or tenant.

Conveys Title

The act of transferring ownership or legal title of property from one person or entity to another.

Lessee

A person or entity that holds the lease of a property, effectively the tenant in a lease agreement.

Tenancy At Will

A rental agreement that allows either the tenant or the landlord to terminate the lease at any time without cause.