SOLUTION: I have a question on Hyperbolas. This is what I think I know so far, Orientation=Horizontal, Center=(0,0), a=7, b=5,c=8.602 The equation is {{{(x^2)/(25)-(y^2)/(49)=1}}}

Question 735422: I have a question on Hyperbolas. This is what I think I know so far, Orientation=Horizontal, Center=(0,0), a=7, b=5,c=8.602 The equation is
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!

This is an equation of a hyperbola with horizontal transverse axis.
Its standard form:,(h,k)=(x,y) coordinates of center.
For given equation:
center:(0,0)
a^2=25
a=5
b^2=49
b=7
c^2=a^2+b^2=25+49=74
c=√74≈8.60
You got everything right except a and b which you had in reverse.
For hyperbolas, a and b don't change positions like in ellipses
For hyperbolas with vertical transverse axis, the y-term is placed ahead of the x-term, but a and b remain in the same position as that for a hyperbola with horizontal transverse axis
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