Question

Write the standard equation for the circle center left parenthesis negative 6 comma 7 right parenthesis, r = 9.
A. left parenthesis x minus 6 right parenthesis squared plus left parenthesis y plus 7 right parenthesis squared equals 9
B. left parenthesis x minus 7 right parenthesis squared plus left parenthesis y plus 6 right parenthesis squared equals 81
C. left parenthesis x plus 6 right parenthesis squared plus left parenthesis y minus 7 right parenthesis squared equals 81
D. left parenthesis x plus 6 right parenthesis squared plus left parenthesis y minus 7 right parenthesis squared equals 9

Answer 1

Answer:

Step-by-step explanation:

The standard form equation for a circle is

$(x-h)^2+(y-k)^2=r^2$

where h and k are the coordinates of the center. Our center is given as (-6,7)  and the radius is given as 9, so that information fits into our standard form like this:

$(x-(-6))^2+(y-7)^2=9^2$ and simplified, it looks like this:

$(x+6)^2+(y-7)^2=81$

That's choice C