Answer:
40 yards
Step-by-step explanation:
Data:
The hyperbola equation is expressed as follows:
[tex]625y^{2} -400x^{2} = 250 000[/tex]
Dividing each term by 250 000 gives:
[tex]\frac{625y^{2} }{250 000} - \frac{400x^{2} }{250 000} = \frac{250 000}{250 000}[/tex]
[tex]\frac{y^{2} }{400} - \frac{x^{2} }{625} = 1[/tex]
thus:
a² = 40
Therefore, the houses will be 20 yards apart.
