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Kaylis [27]
3 years ago
6

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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3 years ago
Find the standard form polynomial that represents this product. (6 - y - 4y^2)(-5 + 7y^2)​
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Answer:

  • -28y^4 - 7y^3 + 62y^2 + 5y - 30

Step-by-step explanation:

<u>Opening the parenthesis and simplifying by combining like terms:</u>

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5 0
4 years ago
Jada wants to know how fast the water comes out of her faucet. what information would she need to know to be able to determine t
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Answer:

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4 0
4 years ago
Solve for z.<br> 42 = -7 (z - 3)<br> z = ?
mezya [45]
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6 0
4 years ago
Read 2 more answers
What number does x stand for in this equation?<br><br> -7x + 6=27
AURORKA [14]
⓵ You need to solve the left side first in order to isolate the × and find it’s value :

-7× + 6 = 27
-6 -6
↓

-7× = 21
÷-7 ÷-7

↓

× = -3

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! ☻
3 0
4 years ago
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