What is the standard form of the equation of a circle that has its center at (-2, -3) and passes through the point (-2, 0)?
(x + 2)squared + (y + 3)squared = 9
(x − 2)squared + (y − 3)squared = 16
(x − 2)squared + (y − 3)squared = 4
(x + 2)squared + (y + 3)squared = 16
(x − 2)squared + (y + 3)squared = 9
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OpenStudy (anonymous):
@LegendarySadist
OpenStudy (anonymous):
(-2,-3) and (-2,0) have the same x. So 0-(-3)=?
OpenStudy (anonymous):
3
OpenStudy (anonymous):
So there's your radius. Now just put the info into standard form. \[\large (x-h)^{2}~+~(y-k)^{2}=r^{2}\]
\[\large (h,k)~=~Center~coordinates~of~circle\]
\[\large r~=~radius\]
OpenStudy (anonymous):
either A or E right?
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OpenStudy (anonymous):
Do you mean A or D?
OpenStudy (anonymous):
right x)
OpenStudy (anonymous):
it's D right?
OpenStudy (anonymous):
r=3.
\(3^{2}=?\)
OpenStudy (anonymous):
9 so A! thanks!
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OpenStudy (anonymous):
Right, A. And \[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]