Find the constant difference for a hyperbola with foci (-3.5, 0) and (3.5, 0) and a point on the hyperbola (3. 5, 24).

2a=1

Step-by-step explanation:

The constant difference for a hyperbola is  

1. Since hyperbola has foci (-3.5, 0) and (3.5, 0), then Note that then

2. Since point (3.5,24) lies on the hyperbola, then

3. Solve the system of two equations:

From the 1st equation,

then

For

For this is impossible, then is extra solution.

Hence, and

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step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.