SOLUTION: Find the distance between R(-1,1) and s(-4,-5) to the nearest tenth.

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Question 403410: Find the distance between R(-1,1) and s(-4,-5) to the nearest tenth.
Found 2 solutions by jim_thompson5910, Mr.Math:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%28-1--4%29%5E2%2B%281--5%29%5E2%29 Plug in x%5B1%5D=-1, x%5B2%5D=-4, y%5B1%5D=1, and y%5B2%5D=-5.


d=sqrt%28%283%29%5E2%2B%281--5%29%5E2%29 Subtract -4 from -1 to get 3.


d=sqrt%28%283%29%5E2%2B%286%29%5E2%29 Subtract -5 from 1 to get 6.


d=sqrt%289%2B%286%29%5E2%29 Square 3 to get 9.


d=sqrt%289%2B36%29 Square 6 to get 36.


d=sqrt%2845%29 Add 9 to 36 to get 45.


d=3%2Asqrt%285%29 Simplify the square root.


Now use a calculator to get d=6.708 and round to get d=6.7


So the answer is approximately 6.7 units.

Answer by Mr.Math(29) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between two points is calculated as:
RS+=+sqrt%28%28X2-X1%29%5E2+%2B+%28Y2-Y1%29%5E2+%29
RS+=+sqrt%28%28-4-%28-1%29%29%5E2+%2B+%28-5-1%29%5E2+%29
RS+=+sqrt%289+%2B+36+%29+=+sqrt%2845%29+
RS+=+3%2A+sqrt+%285%29+
RS+=+6.7+