Find the Center (H, K) and Radius R of the Circle

question 128

Multiple Choice

Find the center (h, k) and radius r of the circle with the given equation.
- $$x ^ { 2 } + y ^ { 2 } - 4 x + 8 y = 29$$

• A) \(( \mathrm { h } , \mathrm { k } ) = ( 4 , - 2 ) ; \mathrm { r } = 49\)
• B) \(( \mathrm { h } , \mathrm { k } ) = ( 2 , - 4 ) ; \mathrm { r } = 7\)
• C) \(( \mathrm { h } , \mathrm { k } ) = ( - 2,4 ) ; \mathrm { r } = 49\)
• D) \(( \mathrm { h } , \mathrm { k } ) = ( - 4,2 ) ; \mathrm { r } = 7\)

---

Definitions:

Alice Paul

A pioneering American suffragist and activist who played a key role in the campaign for women's suffrage resulting in the 19th Amendment to the U.S. Constitution.

Federal Government

The national government of a federal country, which shares power with the states or provinces but has the final authority over them in many areas.

Labor Relations

The study and practice of managing relationships between employers and employees, focusing on negotiation, collective bargaining, and workplace rights.

Everyday Lives

The daily experiences and routines of individuals or groups, encompassing various aspects of existence including work, family, and leisure activities.