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2 years ago

Which of the following is the equation for the graph shown?

Mathematics

1 answer:

serious [3.7K]2 years ago

5 0

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

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<h2>Answer</h2>

After the dilation $\frac{5}{3}$ around the center of dilation (2, -2), our triangle will have coordinates:

$R'=(2,3)$

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<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

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