HELP! WILL MEDAL! write the equation of a hyperbola with a center at (0,0), co vertices along the minor axis at(-10,0) and (10,0) and major axis with a length of 10

Question

anonymous · Answer

SOMEONE PLEASE PLEASE PLEASE HELP

anonymous · Answer

holy crap. this is hard

anonymous · Answer

http://www.purplemath.com/modules/hyperbola.htm try to see if this helps. i am figuring it out meanwhile

directrix · Answer

I am going to give this problem a "go" and post what I get with the hope that someone will check my work.

Based on the given information, I think the hyperbola is of the form on the attachment.

directrix · Answer

That leads to this attachment using the given numbers in the problem statement.

directrix · Answer

a = 5 and b = 10

x^2/a^2 - y^2/b^2 = 1

x^2/5^2 - y^2/10^2 = 1 --> Equation Conjecture

directrix · Answer

Hyperbola graph attached. Courtesy of "TheWolfRam" http://www.wolframalpha.com/input/?i=+x%5E2%2F5%5E2+-+y%5E2%2F10%5E2+%3D+1

anonymous · Answer

^yep