On a map 1 inch represents 100 miles two towns are 5.25 inches apart on a map what is the actual distance between the two towns

Step-by-step explanation:

If the equation of the of the hyperbola is , then the eccentricity, and the directrices are and the foci are (± ae,0).

Now, given that ae = 4 and (1)

So,

⇒ a² = 8

⇒ a = 2√2 units.

Now, from equation (1) we get, ae = 4

⇒ e = √2 as a = 2√2

Now,

⇒

⇒ b² = 8

Hence, the equation of the hyperbola is (Answer)