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monitta
3 years ago
5

Suppose x and y vary together such that x is 7 times as large as y. write a formula that defines x in terms of y.

Mathematics
1 answer:
Ainat [17]3 years ago
4 0
Since y is less than x by 7 times \frac{x}{7}=y so in terms of x we write
x=7y
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Answer:

The answer to your question is below

Step-by-step explanation:

Data

Center = (0, 0)

Vertex = (13, 0)

Focus = (12, 0)

Process

From the data we know that it is a horizontal ellipse.

1.- Calculate "a", the distance from the center to the vertex.

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2.- Calculate "c", the distance from the center to the focus

                  c = 12

3.- Calculate b

Use the Pythagorean theorem to find it

                  a² = b² + c²

-Solve for b

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-Substitution

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-Simplification

                  b² = 169 - 144

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                  b = 5

4.- Find the equation of the ellipse

                       \frac{x^{2} }{13^{2}} + \frac{y^{2}}{5^{2}} = 1    or \frac{x^{2} }{169} + \frac{y^{2}}{25} = 1

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Answer:

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Answer:

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3 years ago
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