SOLUTION: 1. Find the distance using the distance formula, A (0, 9) and B (4, 1).

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Question 1022409: 1. Find the distance using the distance formula, A (0, 9) and B (4, 1).
Answer by MathLover1(20850) About Me  (Show Source):
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Solved by pluggable solver: Distance Formula


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


Since the first point is (0, 9), we can say (x1, y1) = (0, 9)
So x%5B1%5D+=+0, y%5B1%5D+=+9


Since the second point is (4, 1), we can also say (x2, y2) = (4, 1)
So x%5B2%5D+=+4, y%5B2%5D+=+1


Put this all together to get: x%5B1%5D+=+0, y%5B1%5D+=+9, x%5B2%5D+=+4, and y%5B2%5D+=+1

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Now use the distance formula to find the distance between the two points (0, 9) and (4, 1)



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+-+4%29%5E2+%2B+%289+-+1%29%5E2%29 Plug in x%5B1%5D+=+0, y%5B1%5D+=+9, x%5B2%5D+=+4, and y%5B2%5D+=+1


d+=+sqrt%28%28-4%29%5E2+%2B+%288%29%5E2%29


d+=+sqrt%2816+%2B+64%29


d+=+sqrt%2880%29


d+=+sqrt%2816%2A5%29


d+=+sqrt%2816%29%2Asqrt%285%29


d+=+4%2Asqrt%285%29


d+=+8.94427190999916

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Answer:


The distance between the two points (0, 9) and (4, 1) is exactly 4%2Asqrt%285%29 units


The approximate distance between the two points is about 8.94427190999916 units



So again,


Exact Distance: 4%2Asqrt%285%29 units


Approximate Distance: 8.94427190999916 units