SOLUTION: Find the distance between the points R (0, 5) and S (12, 3). Round your answer to the nearest tenth.

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Question 909999: Find the distance between the points R (0, 5) and S (12, 3).
Round your answer to the nearest tenth.
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (0, 5), we can say (x1, y1) = (0, 5)
So x%5B1%5D+=+0, y%5B1%5D+=+5


Since the second point is (12, 3), we can also say (x2, y2) = (12, 3)
So x%5B2%5D+=+12, y%5B2%5D+=+3


Put this all together to get: x%5B1%5D+=+0, y%5B1%5D+=+5, x%5B2%5D+=+12, and y%5B2%5D+=+3

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Now use the distance formula to find the distance between the two points (0, 5) and (12, 3)



d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29


d+=+sqrt%28%280+-+12%29%5E2+%2B+%285+-+3%29%5E2%29 Plug in x%5B1%5D+=+0, y%5B1%5D+=+5, x%5B2%5D+=+12, and y%5B2%5D+=+3


d+=+sqrt%28%28-12%29%5E2+%2B+%282%29%5E2%29


d+=+sqrt%28144+%2B+4%29


d+=+sqrt%28148%29


d+=+sqrt%284%2A37%29


d+=+sqrt%284%29%2Asqrt%2837%29


d+=+2%2Asqrt%2837%29


d+=+12.1655250605964

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Answer:


The distance between the two points (0, 5) and (12, 3) is exactly 2%2Asqrt%2837%29 units


The approximate distance between the two points is about 12.1655250605964 units



So again,


Exact Distance: 2%2Asqrt%2837%29 units


Approximate Distance: 12.1655250605964 units





the distance is d=12.2 units

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d+ = the distance between the points
( 0,5 )
( 12,3 )
----------
+d%5E2+=+%28+12+-+0+%29%5E2+%2B+%28+3+-+5+%29%5E2+
+d%5E2+=+144+%2B+4+
+d%5E2+=+148+
+d+=+12.1655+
The distance is:
12.2