In the derivation, the difference between the distances from any point P on a branch of the hyperbola to foci of the hyperbola i
s set equal to the constant value of _______. 2a is used in the equation because the _______ is a point on the hyperbola and it is the difference in the distances from this point to the foci.
This can be shown algebraically if we let a be the distance from the ______ to the vertex. Then, the difference of the distances is (c + a) – _______.
What you do on one side of the equation, you do to the other. She added 10x on the right side and subtracted 10x on the left when she should have added 10x on both sides.
