<p>Write the equation for the following conic section.</p>
<p>Hyperbola: vertex(-7,9) (-7,1) foci (-7,0) (-7,10)</p>
<p>Please help, this question is seriously taking a long time.</p>
<p>Definitely not SAT material lol. Maybe google hyperbolas, or google your problem and see how they did it. Not the #s, just the question.</p>
<p>oh i hate conics. Yeah, just ask your teacher/friend. You'll likely get better help than from here because NOBODY (Except the occasional bored kid) would want to work that out and type it out. </p>
<p>typing out math problems are the worst.</p>
<p>This is the SAT Subject Math 2 level.</p>
<p>Center is the mid-point between the vertices (and the foci).
In our case it's (-7, 5).
According to the formula for hyperbola centered at (h, k):
(x+7)^2 / a^2 - (y-5)^2 / b^2 = 1.
a is the distance for center to the vertices
a = 4.
The distance from center to the foci is c (c = 5).
c^2 = a^2 + b^2
5^2 = 4^2 + b^2
b = 3, since b>0.
Done.</p>