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Dahasolnce [82]
3 years ago
6

This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

Step-by-step explanation:

focus distance=9

a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77

\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\

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Answer:

a = 2

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Step-by-step explanation:

<em>2^5/4</em>=<em>2^5/2a</em>=<em>2^b</em>=<em>c</em>

      <em>2^5/4</em>, 2^5 = 32, 32/4 = 8

             so c, being what all of this is equal to, is 8

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              so a = 2

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Hope my explanation makes sense :)

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