SOLUTION: The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4. If Charlie and Jackie are flying their planes at the sa

Algebra ->  Circles -> SOLUTION: The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4. If Charlie and Jackie are flying their planes at the sa      Log On


   



Question 587192: The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4.
If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4.
If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions.
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Their flight paths don't intersect, no collision.
They are 2 circles. If you find the difference between the centers, you see it's greater than the sum of their radii --> no intersection.
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