SOLUTION: If the center of a hyperbola with a horizontal transverse axis is ​(2,6​) and a^2 equals 49​, then the coordinates of the vertices are ________ does anyone know the an

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: If the center of a hyperbola with a horizontal transverse axis is ​(2,6​) and a^2 equals 49​, then the coordinates of the vertices are ________ does anyone know the an      Log On


   



Question 1158100: If the center of a hyperbola with a horizontal transverse axis is ​(2,6​) and a^2 equals 49​, then the coordinates of the vertices are ________

does anyone know the answer to this thanks

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If the center of a hyperbola with a horizontal transverse axis is ​(2,6​), then
one vertex is at (a%2B2,+6), and the other is at (-a%2B2, 6)

since a%5E2=49->a=7, the vertices are +7 units to either side, then they are at
(7%2B2, 6)=(9,6) and at
(-7%2B2, 6)=(-5,6)