Solve.
-A planet's orbit about the Sun can be described as an ellipse. Consider the Sun as the origin of a rectangular coordinate system. Suppose that the x-intercepts of the elliptical path of the planet are $\pm 139,000,000$ and that the $y$-intercepts are $\pm 124,000,000$. Write the equation of the elliptical path of the planet.
A) $\frac { x ^ { 2 } } { 1.5376 \times 10 ^ { 16 } } + \frac { y ^ { 2 } } { 1.9321 \times 10 ^ { 16 } } = 1$
B) $\frac { x ^ { 2 } } { 1.39 \times 10 ^ { 8 } } + \frac { y ^ { 2 } } { 1.24 \times 10 ^ { 8 } } = 1$
C) $\frac { x ^ { 2 } } { 1.9321 \times 10 ^ { 16 } } + \frac { y ^ { 2 } } { 1.5376 \times 10 ^ { 16 } } = 1$
D) $\frac { x ^ { 2 } } { 1.24 \times 10 ^ { 8 } } + \frac { y ^ { 2 } } { 1.39 \times 10 ^ { 8 } } = 1$

Question

Quizplus · Accepted Answer

The equation of an ellipse centered at the origin with x-intercepts $\pm a$ and y-intercepts $\pm b$ is $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$. Here, $a = 139,000,000$ and $b = 124,000,000$, so the equation is $\frac{x^2}{(139,000,000)^2} + \frac{y^2}{(124,000,000)^2} = 1$, which matches option C.

Solve -A Planet's Orbit About the Sun Can Be Described ±139,000,000\pm 139,000,000±139,000,000

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-A Planet's Orbit About the Sun Can Be Described $\pm 139,000,000$