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oksian1 [2.3K]
2 years ago
10

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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Complete question :

Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

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