SOLUTION: x^2/64 - y^2/49= 1

Algebra ->  Rational-functions -> SOLUTION: x^2/64 - y^2/49= 1      Log On


   



Question 924825: x^2/64 - y^2/49= 1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x^2/8^2- y^2/7^2= 1
C(0,0), V(0,-8) and V(0,8), F(0, -√113) and F(0, √113)
Asymptotes: y = (7/8)x and y = (-7/8)x
Standard Form of an Equation of an Hyperbola opening right and left is:
%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1
C(h,k) and vertices 'a' units right and left of center,
2a the length of the transverse axis. e = c/a.
Foci are c = sqrt%28a%5E2%2Bb%5E2%29 units right and left of center along y = k
Asymptotes Lines pass thru C(h,k), with slopes m = ± b/a
.........
Standard Form of an Equation of a Circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
Standard Form of an Equation of an Hyperbola opening up and down is:%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1
Standard Form of an Equation of an Hyperbola opening right and left is:%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1
the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk
the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk. V(h, k)