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
Algebra: Radicals -- complicated equations involving roots
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Radicals
Question 672638
:
Find the distance between (–4, 0) and (–5, –3). Express your answer in simplified radical form.
Answer by
jim_thompson5910(35256)
(
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.