SOLUTION: A(-3, 2) B(1, -5). Find AB to the nearest tenth.

Algebra ->  Length-and-distance -> SOLUTION: A(-3, 2) B(1, -5). Find AB to the nearest tenth.      Log On


   

Question 858952: A(-3, 2) B(1, -5). Find AB to the nearest tenth.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the length of AB, you need to find the distance from A to B.


Solved by pluggable solver: Distance Formula


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


Since the first point is (-3, 2), we can say (x1, y1) = (-3, 2)
So x%5B1%5D+=+-3, y%5B1%5D+=+2


Since the second point is (1, -5), we can also say (x2, y2) = (1, -5)
So x%5B2%5D+=+1, y%5B2%5D+=+-5


Put this all together to get: x%5B1%5D+=+-3, y%5B1%5D+=+2, x%5B2%5D+=+1, and y%5B2%5D+=+-5

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Now use the distance formula to find the distance between the two points (-3, 2) and (1, -5)



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


d+=+sqrt%28%28-3+-+%281%29%29%5E2+%2B+%282+-+%28-5%29%29%5E2%29 Plug in x%5B1%5D+=+-3, y%5B1%5D+=+2, x%5B2%5D+=+1, and y%5B2%5D+=+-5


d+=+sqrt%28%28-3+-+1%29%5E2+%2B+%282+%2B+5%29%5E2%29


d+=+sqrt%28%28-4%29%5E2+%2B+%287%29%5E2%29


d+=+sqrt%2816+%2B+49%29


d+=+sqrt%2865%29


d+=+8.06225774829855

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Answer:


The distance between the two points (-3, 2) and (1, -5) is exactly sqrt%2865%29 units


The approximate distance between the two points is about 8.06225774829855 units



So again,


Exact Distance: sqrt%2865%29 units


Approximate Distance: 8.06225774829855 units