4 years ago

Consider the perfect square trinomial identity:

Mathematics

1 answer:

denis-greek [22]4 years ago

5 0

Answer:

a = x

b = 5

Step-by-step explanation:

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What is the equation of a hyperbola with a = 5 and c = 15? Assume that the transverse axis is horizontal.

gogolik [260]

Answer:

$\frac{x^2}{25} -\frac{y^2}{200} =1$

Step-by-step explanation:

Recall that the equation of hyperbola centered at the origin with transverse horizontal axis has the general form:

$\frac{x^2}{a^2} -\frac{y^2}{b^2} =1\\and\,\,\,\, with\\c=\sqrt{a^2+b^2}$

since we know that a = 5 ,and c = 15,we can solve for b:

$15=\sqrt{5^2+b^2} \\15^2=25+b^2\\b^2=200\\$

then the equation of the hyperbola becomes:

$\frac{x^2}{5^2} -\frac{y^2}{200} =1\\\frac{x^2}{25} -\frac{y^2}{200} =1$

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Step-by-step explanation:

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Step-by-step explanation:

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