Find the Center-Radius Form of the Circle Described or Graphed $( - 6 , - 7 )$

question 440

Multiple Choice

Find the center-radius form of the circle described or graphed.
-a circle having a diameter with endpoints $( - 6 , - 7 )$ and $( - 1,2 )$

• A) \(\left( x - \frac { 7 } { 2 } \right) ^ { 2 } + \left( y - \frac { 5 } { 2 } \right) ^ { 2 } = 74\)
• B) \(\left( x - \frac { 7 } { 2 } \right) ^ { 2 } + \left( y + \frac { 5 } { 2 } \right) ^ { 2 } = 130\)
• C) \(\left( x + \frac { 5 } { 2 } \right) ^ { 2 } + \left( y + \frac { 9 } { 2 } \right) ^ { 2 } = 106\)
• D) \(\left( x + \frac { 7 } { 2 } \right) ^ { 2 } + \left( y + \frac { 5 } { 2 } \right) ^ { 2 } = \frac { 53 } { 2 }\)

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Definitions:

Bond Premium

The amount by which the selling price of a bond exceeds its face value, often resulting from interest rates that are lower than the bond's coupon rate.

Market Rate

The prevailing price or interest rate available in the open market for goods, services, or securities.

Nominal Rate

The interest rate stated on a financial product or agreement without adjustment for inflation or other factors that affect the real value of returns.

Stated Value

Stated value refers to an arbitrary value assigned to the no-par value stock by the board of directors of a company, used for accounting purposes.