SOLUTION: Find all points having an​ x-coordinate of 1 whose distance from the point (-3,-2) is 5

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Question 1164768: Find all points having an​ x-coordinate of 1 whose distance from the point (-3,-2) is 5
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

In a coordinate plane, the points having an​ x-coordinate of 1 are the points (1,y) for arbitrary "y".


So, the points you are looking for, satisfy this distance equation


     = 5,

or

     = 5.


Square both sides to get


    16 + (y+2)^2 = 5^2

    (y+2)^2 = 25 - 16

    (y+2)^2 = 9

    y + 2 =  = +/- 3


Hence, there are two values for y   = 3 - 2 = 1  and   = -3 - 2 = -5.


So, the points are  A = (1,1)  and  B = (1,-5).     ANSWER

Solved.



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