Question
Find the vertices, the minor axis endpoints, length of the major axis, and length of the minor axis. Sketch the graph. Check using a graphing utility.$$16 x^{2}+9 y^{2}=144$$
Step 1
The standard form of an ellipse equation is $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$. To do this, we divide the given equation by 144: $$\frac{16x^2}{144} + \frac{9y^2}{144} = 1$$ which simplifies to: $$\frac{x^2}{9} + \frac{y^2}{16} = 1$$ Show more…
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