Answer:
6
Step-by-step explanation:
By definition, the constant difference for a hyperbola is:
d = |PF1 - PF2|
where PF1 is the distance between points P and F1, and PF2 is the distance between points P and F2
Let's call F1 to (-3, 0), F2 to (3, 0) and P (7, 0). Then, the distances are:
PF1 = √[(-3 - 4)² + (0 - 0)²] = 7
PF2 = √[(3 - 4)² + (0 - 0)²] = 1
And the the constant difference is:
d = |7 - 1| = 6
