Question

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Answer 1

The equation of the horizontal ellipse is $\frac{x^2}{144}+\frac{y^2}{100}=1$

Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

The standard form of an ellipse with horizontal major axis is:

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

Where a > b

since a = 12, b = 10, hence:

$\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1$

The equation of the horizontal ellipse is $\frac{x^2}{144}+\frac{y^2}{100}=1$

Find out more on ellipse at: brainly.com/question/19507943