Answer:
[tex]\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1[/tex]
Step-by-step explanation:
the transverse axis is horizontal.
so its a horizontal hyperbola
Center is the origin so center is (0,0)
Equation of horizontal hyperbola is
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} =1[/tex]
Given a= 55000 and c= 81000
c^2 = a^2 + b^2
81000^2 = 55000^2 + b^2
subtract 55000^2 on both sides
b = sqrt(81000^2 - 55000^2)= 59464.27
now plug in the values
[tex]\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1[/tex]
