Algebra
find all points having an xcoordinate of 4 whose distance from the point (1,5) is 5
asked by
Bri

Use the distance formula.
posted by Ben

which is?
posted by Bri

It should be on your formula sheet if not then look it up.
posted by Ben

you know that all points at a distance 5 will form a circle with center at (1,5) and radius 5. So,
(x1)^2 + (y5)^2 = 25
So, plug in x=4 and you have
3^2 + (y5)^2 = 25
(y5)^2 = 16
y5 = ±4
y = 9 or 1
So, the points are (4,9) and (4,1)posted by Steve

Thanks Steve!
posted by Bri
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