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What are the foci of the hyperbola whose equation is

(-6, 2) and (14, 2)
(-4, 2) and (12,2)
(4,-8) and (4, 12)
(4,-6) and (4, 10)

What are the foci of the hyperbola whose equation is 6 2 and 14 2 4 2 and 122 48 and 4 12 46 and 4 10 class=

Respuesta :

I think the answer is D
amazingpeeve

Answer:

(4,12) (4,-8)

Step-by-step explanation:

you can find the distance from the foci to the center of a hyperbola using the formula c2 = a2 + b2.

in this equation we have both a and b, so substitute the values into the equation...

c2 = 64 + 36

c2 = 100

square root

c=10

therefore the distance from the foci from the center is 10 units.

since the equation has the y term first, the transverse axis is vertical. so 10 y  units from the center which is (4,2) is (4,12) and (4,-8)

making the answer be (4,12) and (4,-8).

Hope this helped :)

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