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Natali [406]
3 years ago
10

A. 10,000 B. 23,000 C. 55,000 D. 155,000

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

The best and most correct answer among the choices provided by the question is B.) 23,000

Hope this helps :)

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

The equation of a vertical ellipse is  \frac{(x-6)^2}{100} + \frac{(y-3)^2}{36}   = 1\\

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 :

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}   = 1\\

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

\frac{(x-6)^2}{10^2} + \frac{(y-3)^2}{6^2}   = 1\\

or, \frac{(x-6)^2}{100} + \frac{(y-3)^2}{36}   = 1\\

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

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