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Help me identify the coordinates of the center of this ellipse. (x-2)^2/36+(y+1)^2/25=1
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\(\bf\cfrac{(x-h)^2}{a^2}+\cfrac{(y-k)^2}{b^2}=1\\ \textit{center is at coordinates }(h,k)\)
\[\frac{(x-\color{red}h)^2}{a^2}+\frac{(y-\color{blue}k)^2}{b^2}=1\] \ \[\frac{(x-\color{red}2)^2}{a^2}+\frac{(y-\color{blue}{(-1}))^2}{b^2}=1\]
center is \((\color{red}h,\color{blue}k)\)
therefore the coordinates are (2,1) , correct?
sorry (-2,1)
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\(\bf \cfrac{(x-\large{\color{red}2})^2}{a^2}+\cfrac{(y-\color{blue}{(\large{-1}}))^2}{b^2}=1\) look closely
\(\bf \cfrac{(x-h)^2}{a^2}+\cfrac{(y-k)^2}{b^2}=1\)
ok so would it be (2,-1) ?
yeap, the " - " in the equation, isn't part of the "h" or the "k", so yes, 2, -1
thanks!
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yw
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