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anonymous
 5 years ago
Find the standard formula for the hyperbola with vertices at (7, 0) and (7, 0) and foci at (9, 0 ) and (9, 0).
anonymous
 5 years ago
Find the standard formula for the hyperbola with vertices at (7, 0) and (7, 0) and foci at (9, 0 ) and (9, 0).

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Owlfred
 5 years ago
Best ResponseYou've already chosen the best response.0Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1So it looks like this hyperbola is centered around (0, 0), which will make things easier.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1It also looks like it opens left and right. Thus, the standard form equation should be: \[\frac{x^2}{a^2}  \frac{y^2}{b^2}\] That means we just have to find a and b.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1To find a and b, we need to find the distance from the center to the foci. In this case, that's easy: it's 9. That means that we have: \[9^2 = a^2 + b^2\] \[81 = a^2 + b^2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks so much shadowfiend!! i really appreciate your help

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1We also have the vertices of the hyperbola. We know the vertices for a hyperbola centered at (0, 0) are: (a, 0) and (a, 0). Since the vertices here are (7, 0) and (7, 0), we know a = 7. Thus, we have: \[\begin{align} 81 &= 7^2 + b^2\\ 81 &= 49 + b^2\\ 81  49 &= b^2\\ 32 &= b^2 \end{align}\] We don't need b itself, just \(b^2\), for the equation of the hyperbola. We plugin \(a^2\) and \(b^2\) and get: \[\frac{x^2}{49}  \frac{y^2}{32} = 1\] Does that all make sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah that makes sense thanks alot... how do I reward you with a medal?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Click the `good answer' button on the right :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm not seeing a good answer button... sorry I'm new to this site

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0could you point it out

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Attached a screenshot showing it. Let me know if you still can't find it :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0looks like shadow is hulking out :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats so strange it doesn't show for me...

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1That's definitely a problem. tree2193, could you post a screenshot of your screen? I definitely need to see if we can get that fixed.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I WANT YOU TO GET YOUR REWARD MEDAL!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah sure how do I do that?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Are you running Windows?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0hit f5 to refresh the browser and you should see a 'good answer' beside his name

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Ok, cool. There should be a button somewhere with the text `prt scrn' or `print screen' or `print scrn' or some variant like that. Hit Alt+that button.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Then open Paint and hit CtrlV to paste it, and save that file and post it here. amistre  have you run into the good answer button not showing up before?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yep, mostly in internet explorer

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Ah. Well that's a doozy :p We will definitely have to take a look at why that's happening.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0f5 tends to cure it tho

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I just had to press f5

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Ok, cool. Thanks to both of you. We'll see if we can figure out why IE's being silly this time. And thanks for the medal tree2193!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I have a similar problem if you have time

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1I probably don't... But post it, and if no one else gets to it in a little while, I'll swing by and check and see what I can do.
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