mathematics ,analytical ge0metry
posted by Owami Tubatse .
Determine the length of the line segment between the following points.
T(2x;y2) and U(3x+1;y2)

Just use the good old Pythagorean Theorem:
d^2 = ∆x^2 + ∆y^2
= ((3x+1)^2(2x)^2)+((y2)(y2))^2
= (5x^2 + 6x + 1)  (0)
. . . 
Still confused steve can you please elaborate more PLEASE

what Steve meant to say was:
d^2 = (3x+1  2x)^2 + (y2  (y2))^2
= (x+1)^2 + 0^2
d =√(x+1)^2
= x+1
e.g.
let x = 3, y = 5
then T is (6,3) and U is (10,3)
TU = √(4^2 + 0^2)
= √16 = 4
according to my result, d = 3+1 = 4 , as in the test answer. 
ouch! Guess I had too many squares working with me!
What was I thinking? 
Thank u guys ...I now understand