find the coordinates of all points ,p, on the x axis so that the line through A(-3,2) and P is perpendicular to the line through B(2,7) and P

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find the coordinates of all points ,p, on the x axis so that the line through A(-3,2) and P is perpendicular to the line through B(2,7) and P

Mathematics
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drawing |dw:1438975907161:dw|
i would go at this using vectors cause it's mechanical and just works; but there's no doubt a bunch of other approaches. you could draw this and get out a compass and protractor, if you liked. you could use calculus. so, what are you learning, right now? do you want to have a crack at it in a particular way??
one thing you can do is impose Pythagoreas on it it's a right angle so it has to satisfy Pythag |dw:1438976502300:dw| ie plug in for \(AB^2 = PA^2 + PB^2\) and see where you go

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