A few days ago
Bob

How should I do this Math problem over the distance formula?

It says: Find all points having a y-coordinate of -3 whose distance from the point (1,2) is 13.

Top 2 Answers
A few days ago
japgurl01

Favorite Answer

The distance formula is sqrt[(x2-x1)^2+(y2-y1)^2]=13. We know that one point is (1,2) and that the other point is going to have a y coordinate of -3, so plug in what you know. Call what you don’t know x : sqrt[(x-1)^2 + (-3-2)^2]=13. So, sqrt[(x^2-2x+1)+(25]=13. So, sqrt[x^2-2x+26]=13. So, (x^2-2x+26)=169. x^2-2x-143=0. Solve for x and you will get your two x coordinates. Hope this makes sense and helps 😉
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A few days ago
ethanator1088
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