Find the Center-Radius Form of the Equation of a Circle $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 49$

question 130

Multiple Choice

Find the center-radius form of the equation of a circle with center (5, 7) and tangent to the x-axis.

• A) \(( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 49\)
• B) \(( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 49\)
• C) \(( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25\)
• D) \(( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25\)

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Definitions:

Delaware

The first state to ratify the U.S. Constitution, known as "The First State," located in the Mid-Atlantic region of the United States.

Best Poor Man's Country

A historical notion that certain regions, notably parts of early America, offered exceptional opportunities for economic advancement to the economically disadvantaged.

Pennsylvania

A state located in the northeastern part of the United States, known for its historical significance in the founding of the country.

Walking Purchase

A controversial 1737 land deal in which the Penn family and colonists claimed a large area of land in Pennsylvania through a fraudulent walking survey.