SOLUTION: I can not figure out these I am having problems Find the distance between (7,-2) and (-5,3) and Find the distance between (-3,-2) and (1,4) thank you

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Question 91263: I can not figure out these I am having problems
Find the distance between (7,-2) and (-5,3)

and
Find the distance between (-3,-2) and (1,4)
thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Find the distance between (7,-2) and (-5,3)"

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%287--5%29%5E2%2B%28-2-3%29%5E2%29 Plug in x%5B1%5D=7, x%5B2%5D=-5, y%5B1%5D=-2, y%5B2%5D=3

d=sqrt%28%2812%29%5E2%2B%28-5%29%5E2%29 Evaluate 7--5 to get 12. Evaluate -2-3 to get -5.

d=sqrt%28144%2B25%29 Square each value

d=sqrt%28169%29 Add

d=13 Simplify the square root

So the distance between (7,-2) and (-5,3) is 13 units




----------------------------------------------------------------
"Find the distance between (-3,-2) and (1,4)"

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%28-3-1%29%5E2%2B%28-2-4%29%5E2%29 Plug in x%5B1%5D=-3, x%5B2%5D=1, y%5B1%5D=-2, y%5B2%5D=4

d=sqrt%28%28-4%29%5E2%2B%28-6%29%5E2%29 Evaluate -3-1 to get -4. Evaluate -2-4 to get -6.

d=sqrt%2816%2B36%29 Square each value

d=sqrt%2852%29 Add

d=2%2Asqrt%2813%29 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)


So the distance approximates to

d=7.21110255092798

which rounds to
7.21

So the distance between (-3,-2) and (1,4) is approximately 7.21 units