Mathematics, 31.07.2019 04:30 michellealvarez985
An ellipse has vertices along the major axis at (0, 1) and (0, −9). the foci of the ellipse are located at (0, −1) and (0, −7). the equation of the ellipse is in the form below.
Answers: 2
![\bf \begin{cases} a=5\\ c=3 \end{cases}\implies c=\sqrt{a^2-b^2}\implies c^2=a^2-b^2\implies b^2=a^2-c^2 \\\\\\ b=\sqrt{a^2-c^2}\implies b=\sqrt{5^2-3^2}\implies b=4\\\\ -------------------------------\\\\ \begin{cases} h=0\\ k=-4\\ a=5\\ b=4 \end{cases}\implies \cfrac{(x- 0)^2}{ 4^2}+\cfrac{[y-(-4)]^2}{ 5^2}=1 \\\\\\ \cfrac{(x- 0)^2}{ 16}+\cfrac{(y+4)^2}{25}=1](/tpl/images/0153/1012/66932.png)
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An ellipse has vertices along the major axis at (0, 1) and (0, −9). the foci of the ellipse are loca...
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