MATHEMATICS MIDDLE SCHOOL

Write the equation of a vertical ellipse with a major axis of 20, a minor axis of 12, and a center of (6, 3)

Answers

Answer 1

Answer:

Answer:

The equation of a vertical ellipse is $((x-6)^2)/(100) + ((y-3)^2)/(36) = 1\n$

Step-by-step explanation:

Here, given:

Length of major axis: 20

⇒ 2 a = 20 , or , a = 10

Length of minor axis: 12

⇒ 2 b = 12 , or , b = 6

Also, center (h,k) = (6,3)

Now, STANDARD EQUATION OF ELLIPSE :

$((x-h)^2)/(a^2) + ((y-k)^2)/(b^2) = 1\n$

Now, substituting the values, a, b , h and k in above expression, we get:

$((x-6)^2)/(10^2) + ((y-3)^2)/(6^2) = 1\n$

or, $((x-6)^2)/(100) + ((y-3)^2)/(36) = 1\n$

Hence, the equation of a vertical ellipse is $((x-6)^2)/(100) + ((y-3)^2)/(36) = 1\n$

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Answers

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Hope it helped.

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From this: (7*50)*4

To This: 7*(50*4)

Hope this helps! Please correct me if I have made any mistakes!

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Answers

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