SOLUTION: I have tried several times to figure this one out...Any help with this would be greatly appreciated! Thanks! The weight of an object on a small planet in Alpha Centauri is gov

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have tried several times to figure this one out...Any help with this would be greatly appreciated! Thanks! The weight of an object on a small planet in Alpha Centauri is gov      Log On


   

Question 292981: I have tried several times to figure this one out...Any help with this would be greatly appreciated! Thanks!

The weight of an object on a small planet in Alpha Centauri is governed by the following equation:
w=c*r^-1/2
Here, C is a constant, and r is the distance that the object is from the center of the planet.
Solve the above equation for r.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
w=c%2Ar%5E%28-1%2F2%29%5E%22%22 Start with the given equation.


w%2Fc=r%5E%28-1%2F2%29%5E%22%22 Divide both sides by 'c'


w%2Fc=1%2Fr%5E%281%2F2%29%5E%22%22 Rewrite r%5E%28-1%2F2%29%5E%22%22 as 1%2Fr%5E%281%2F2%29%5E%22%22


w%2Fc=1%2Fsqrt%28r%29 Rewrite r%5E%281%2F2%29%5E%22%22 into sqrt%28r%29 (ie convert to radical notation)


w%2Asqrt%28r%29=c Cross multiply


sqrt%28r%29=c%2Fw Divide both sides by 'w'


r=%28c%2Fw%29%5E2 Square both sides to isolate 'r'.


So the solution is r=%28c%2Fw%29%5E2 which can also be written as r=%28c%5E2%29%2F%28w%5E2%29