The Answer is A
Explanation:
The standard form equation for an ellipse is:
(x - h)² / a² + (y - k)² / b² = 1
So looking at the picture above you can see that the center of the ellipse is at the origin which is (0;0) making both h and k zero.
It is then observed that the x-intercepts are at 12 meaning a=12 and y- intercepts are at approximately square root of 95 which is 9.746... which are 'k'
So you can conclude by saying that:
x²/12² + y²/(sqrt of 95)² = 1
then giving you the answer of A which is:
x²/144 + y²/95 = 1
−<span>3<span>(<span><span>4a</span>−<span>5b</span></span>)</span></span><span>=<span><span>(<span>−3</span>)</span><span>(<span><span>4a</span>+<span>−<span>5b</span></span></span>)</span></span></span><span>=<span><span><span>(<span>−3</span>)</span><span>(<span>4a</span>)</span></span>+<span><span>(<span>−3</span>)</span><span>(<span>−<span>5b</span></span>)</span></span></span></span><span>=<span><span>−<span>12a</span></span>+<span>15<span>b</span></span></span></span>
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