Given:
Hyperbola
a=55,000 km and c=81,000 km
hyperbola is the origin and the
transverse axis is horizontal
Required:
Equation of the path of a
satellite
Solution:
Formula for hyperbola, (x-h)2/a2
– (x-k)2/b2 = 1
At origin, (h, k) = (0, 0)
(x-0)2/(55000)2 – (x-0)2/(81000)2
= 1
<span>X2/12100 – y2/26244 = 250000</span>
Divide the 10 by 4, which makes the x be 2.5. You can check it by multiplying 4 by 2.5, which will give you 10.
Both 38 and 58 are even so they both can be divided by 2,
38/58
19/29
that is in the simplest form
