SOLUTION: Given (15,3) and (x,−2) find all x such that the distance between these two points is 13.

Algebra ->  Coordinate-system -> SOLUTION: Given (15,3) and (x,−2) find all x such that the distance between these two points is 13.       Log On


   

Question 1187497: Given (15,3) and (x,−2) find all x such that the distance between these two points is 13.

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You know the Distance Formula, and you know how to use it for these two points, and then you know how to solve that equation.

sqrt%28%28x-15%29%5E2%2B%28-2-3%29%5E2%29=13

square both sides:
%28x-15%29%5E2%2B%28-2-3%29%5E2=169
%28x-15%29%5E2%2B25=169
and you do the rest.
.
.

15-12=3
OR
15%2B12=27

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The difference between the two y values is 5; the distance between the points is supposed to be 13.

5-12-13 is a Pythagorean Triple: 5^2+12^2=25+144=169 = 13^2

So the difference between the x values must be 12.

ANSWERS:
(1) x=15+12=27
(2) x=15-12=3