SOLUTION: Find all the points having an x-coordinate of 9 whose distance from the point (3, -2) is 10.

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Question 962613: Find all the points having an x-coordinate of 9 whose distance from the point (3, -2) is 10.
Answer by hkwu(60) About Me  (Show Source):
You can put this solution on YOUR website!
Recall the distance formula for two points:
L=sqrt%28%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%29
Thus we plug in our given values:
10=sqrt%28%289-3%29%5E2%2B%28y_2-%28-2%29%29%5E2%29
10=sqrt%286%5E2%2B%28y_2%2B2%29%5E2%29
10=sqrt%2836%2By_2%5E2%2B4y_2%2B4%29
100=36%2By_2%5E2%2B4y_2%2B4
y_2%5E2%2B4y_2-60=0
%28y_2%2B10%29%28y_2-6%29=0
The solutions are (9,-10) and (9,6).
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