Determine the equation of the ellipse.

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

A) x²/25 + y²/9 = 1

Step-by-step explanation:

The major axis length is the sum of distances to the foci from the ellipse, 10. So the semi-major axis has length 10/2 = 5. The foci are on the x-axis, so the ellipse is oriented horizontally.

The semi-minor axis is the other leg of the right triangle having the focus and center as one leg, and the semi-major axis as the hypotenuse. This is obviously a 3-4-5 triangle, so the semi-minor axis length is 3.

When the ellipse is horizontal, the formula for it is ...

... (x/(semi-major axis))² + (y/(semi-minor axis))² = 1

... (x/5)² + (y/3)² = 1

... x²/25 + y²/9 = 1

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Read 2 more answers

What number does x stand for in this equation? -7x + 6=27

AURORKA [14]

⓵ You need to solve the left side first in order to isolate the × and find it’s value :

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↓

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÷-7 ÷-7

↓

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If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!

I hope this helped, if there’s anything let me know! ☻

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