Question

If the orbit of this the moon Can be modeled using the equationx^2/63,500 + y^2/50,900 = 1, what is the shape of the moons orbit?

Answer 1

Ellipse

Explanation:

The equation that models the situation is the following:

`(x^2)/(63500)+(y^2)/(50900)=1`

We have that this corresponds to the following form of equation:

`(\left(x-h\right)^2)/(a^2)+(\left(y-k\right)^2)/(b^2)=1`

This corresponds to the equation of the ellipse and in this case, has the center at the origin.

Therefore, the correct answer is an ellipse