Solve.
-Comet's orbit the Sun in elongated ellipses. Consider the Sun as the origin of a rectangular coordina system. Suppose that the equation of the path of the comet is
$\frac { ( \mathrm { x } - 646,000,000 ) ^ { 2 } } { 6.022 \times 10 ^ { 23 } } + \frac { ( \mathrm { y } + 374,000,000 ) ^ { 2 } } { 3.011 \times 10 ^ { 22 } } = 1$
Find the center of the path of the comet.
A) $( - 646,000,000 , - 374,000,000 )$
B) $( - 646,000,000,374,000,000 )$
C) $( 646,000,000,374,000,000 )$
D) $( 646,000,000 , - 374,000,000 )$ e

Question

Quizplus · Accepted Answer

The center of the ellipse is given by the coordinates $(h, k)$ from the equation $\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$. Here, $h = 646,000,000$ and $k = -374,000,000$.

Solve -Comet's Orbit the Sun in Elongated Ellipses Find the Center of the Path of the Comet

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-Comet's Orbit the Sun in Elongated Ellipses Find the Center of the Path of the Comet