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Mathematics 16 Online
OpenStudy (anonymous):

Find the vertices, foci, and asymptotes of the hyperbola. x^2 − 7y^2 = 8 can any one help me with this?

myininaya (myininaya):

does this help? you can write the equation as (x-0)^2/8-(y-0)^2/(8/7)=1

OpenStudy (anonymous):

yes iv got all that. im just having trouble finding the asymptotes.

myininaya (myininaya):

it says do sqrt(8)/sqrt(8/7) is the slope of the asymptote

myininaya (myininaya):

=sqrt(7)

OpenStudy (anonymous):

yes ive done that but i get a weird radical that i dont know how to reduce?...

myininaya (myininaya):

what is it?

OpenStudy (anonymous):

sqrt 65/7 / 2 sqrt 2

myininaya (myininaya):

sqrt(65/7)/[2sqrt(2)]?

OpenStudy (anonymous):

yes

myininaya (myininaya):

thats not the slope is it? what is that?

OpenStudy (anonymous):

the asymptotes

myininaya (myininaya):

I don't know about that. i have to go though. i'm sorry. if you want to simplify the above that you wrote, it is sqrt(65)/[2*sqrt(2)]

OpenStudy (anonymous):

thanks.

OpenStudy (anonymous):

sqrt(65)/[2*sqrt(2)]???

myininaya (myininaya):

oops lol

myininaya (myininaya):

sorry it was suppose to be 1/2 * sqrt(65/14)

OpenStudy (anonymous):

ok let me try it.

myininaya (myininaya):

you have double fraction so you change to multiplication by flipping the second fraction

OpenStudy (anonymous):

1/2 * sqrt(65/14) is the final answer right?

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