Algebra

find all points having an x-coordinate of 4 whose distance from the point (1,5) is 5

asked by Bri
  1. Use the distance formula.

    posted by Ben
  2. which is?

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

    posted by Ben
  4. you know that all points at a distance 5 will form a circle with center at (1,5) and radius 5. So,

    (x-1)^2 + (y-5)^2 = 25

    So, plug in x=4 and you have

    3^2 + (y-5)^2 = 25
    (y-5)^2 = 16
    y-5 = ±4
    y = 9 or 1

    So, the points are (4,9) and (4,1)

    posted by Steve
  5. Thanks Steve!

    posted by Bri

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