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GrogVix [38]
2 years ago
13

What is the length of the conjugate axis?

%7B%28y%2B1%29%5E2%7D%7B64%7D%20%3D1" id="TexFormula1" title="\frac{(x-2)^2}{36} - \frac{(y+1)^2}{64} =1" alt="\frac{(x-2)^2}{36} - \frac{(y+1)^2}{64} =1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
LuckyWell [14K]2 years ago
5 0

Answer:

the length of the conjugate axis  is 16

Step-by-step explanation:

We know that the general equation of a hyperbola with transverse horizontal axis has the form:

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

Where the point (h, k) are the coordinates of the center of the ellipse

2a is the length of the transverse horizontal axis

2b is the length of the conjugate axis

In this case the equation of the ellipse is:

\frac{(x-2)^2}{36} + \frac{(y+1)^2}{64} = 1

Then

b^2 = 64\\\\b = \sqrt{64}\\\\b = 8\\\\2b = 16

Finally the length of the conjugate axis is 16

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Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.

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Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables son:

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Juan tiene 12 años e su madre tiene 39 años.

Puede-se aprender más a cerca de sistema de ecuaciones en brainly.com/question/20178040

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