SOLUTION: Find the distance between (–4, 0) and (–5, –3). Express your answer in simplified radical form.

Algebra ->  Radicals -> SOLUTION: Find the distance between (–4, 0) and (–5, –3). Express your answer in simplified radical form.      Log On


   



Question 672638: Find the distance between (–4, 0) and (–5, –3). Express your answer in simplified radical form.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
d = sqrt((x2-x1)^2+(y2-y1)^2)


d = sqrt((-5-(-4))^2+( -3- 0)^2)


d = sqrt((-5+4)^2+( -3- 0)^2)


d = sqrt((-1)^2+(-3)^2)


d = sqrt(1+9)


d = sqrt(10)


So exact distance between the two points is sqrt(10) units.


Using a calculator, the approximate distance is roughly 3.16228 units.