Question

find the distance between (2a , c) and (3a , c).
distance = dist

Explanation:

Step1: Recall distance formula

For points $(x_1,y_1)$ and $(x_2,y_2)$, distance $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Substitute given points

Let $(x_1,y_1)=(2a,c)$ and $(x_2,y_2)=(3a,c)$.
$d=\sqrt{(3a-2a)^2+(c-c)^2}$

Step3: Simplify the expression

$d=\sqrt{(a)^2+(0)^2}=\sqrt{a^2}=|a|$

Answer:

$|a|$ (or $a$ if $a\geq0$)