SOLUTION: Find the distance between each pair of points. 1. (0,8)and(0,-4) 2. (2,6)and(-3,4) I'm lost on where to start on this type of problem.

Algebra ->  Radicals -> SOLUTION: Find the distance between each pair of points. 1. (0,8)and(0,-4) 2. (2,6)and(-3,4) I'm lost on where to start on this type of problem.       Log On


   

Question 119510: Find the distance between each pair of points.
1. (0,8)and(0,-4)
2. (2,6)and(-3,4)
I'm lost on where to start on this type of problem.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
#1


Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 where is the first point and is the second point

d=sqrt%28%280-0%29%5E2%2B%288--4%29%5E2%29 Plug in x%5B1%5D=0, x%5B2%5D=0, y%5B1%5D=8, y%5B2%5D=-4

d=sqrt%28%280%29%5E2%2B%2812%29%5E2%29 Evaluate 0-0 to get 0. Evaluate 8--4 to get 12.

d=sqrt%280%2B144%29 Square each value

d=sqrt%28144%29 Add

d=12 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

So the distance between (0,8) and (0,-4) is 12 units






#2

Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 where is the first point and is the second point

d=sqrt%28%282--3%29%5E2%2B%286-4%29%5E2%29 Plug in x%5B1%5D=2, x%5B2%5D=-3, y%5B1%5D=6, y%5B2%5D=4

d=sqrt%28%285%29%5E2%2B%282%29%5E2%29 Evaluate 2--3 to get 5. Evaluate 6-4 to get 2.

d=sqrt%2825%2B4%29 Square each value

d=sqrt%2829%29 Add

So the distance approximates to

d=5.3851648071345

which rounds to
5.39

So the distance between (2,6) and (-3,4) is approximately 5.39 units