SOLUTION: Please help me with this problem! The path swum by the captain of a synchronized swimming team is modeled by the equation {{{(x-3)^2+(y-2)^2=25}}}. One of her team mates swims in a

Question 932634: Please help me with this problem! The path swum by the captain of a synchronized swimming team is modeled by the equation . One of her team mates swims in a path modeled by the equation . At what point are the two swimmers in danger of colliding?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This is mostly many algebra steps, relying on substitution. Best start is to solve the second equation for y in terms of x, and substitute this into the first equation. Solve for the value of x, first. This should be a long process, but not too complicated.

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, and do the substitution. You might do the squaring of y separately and then include this for in the equation...
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