Mathematics, 28.07.2019 10:40 bryanawesome23
Write the equation of a horizontal ellipse with a major axis of 30, a minor axis of 14, and a center at (-9, -7
Answers: 1
![\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x-{{ h}})^2}{{{ a}}^2}+\cfrac{(y-{{ k}})^2}{{{ b}}^2}=1 \qquad \begin{cases} center\ ({{ h}},{{ k}})\\ vertices\ ({{ h}}\pm a, {{ k}}) \end{cases}\\\\ -------------------------------\\\\ \textit{we know that } \begin{cases} a=\frac{30}{2}\\ b=\frac{14}{2}\\ h=-9\\ k=-7 \end{cases}\implies \cfrac{[x-(-9)]^2}{15^2}+\cfrac{[y-(-7)]^2}{7^2}=1 \\\\\\ \cfrac{(x+9)^2}{225}+\cfrac{(y+7)^2}{49}=1](/tpl/images/0142/5491/0c030.png)
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Write the equation of a horizontal ellipse with a major axis of 30, a minor axis of 14, and a center...
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