SOLUTION: Calculate the distance between the points g=(6,9)and E=(9,4)in the Cartesian plane. Write the exact answer in radical form.

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Question 956330: Calculate the distance between the points
g=(6,9)and E=(9,4)in the Cartesian plane.
Write the exact answer in radical form.
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 (6, 9), we can say (x1, y1) = (6, 9)
So x%5B1%5D+=+6, y%5B1%5D+=+9


Since the second point is (9, 4), we can also say (x2, y2) = (9, 4)
So x%5B2%5D+=+9, y%5B2%5D+=+4


Put this all together to get: x%5B1%5D+=+6, y%5B1%5D+=+9, x%5B2%5D+=+9, and y%5B2%5D+=+4

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Now use the distance formula to find the distance between the two points (6, 9) and (9, 4)



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


d+=+sqrt%28%286+-+9%29%5E2+%2B+%289+-+4%29%5E2%29 Plug in x%5B1%5D+=+6, y%5B1%5D+=+9, x%5B2%5D+=+9, and y%5B2%5D+=+4


d+=+sqrt%28%28-3%29%5E2+%2B+%285%29%5E2%29


d+=+sqrt%289+%2B+25%29


d+=+sqrt%2834%29


d+=+5.8309518948453

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Answer:


The distance between the two points (6, 9) and (9, 4) is exactly sqrt%2834%29 units


The approximate distance between the two points is about 5.8309518948453 units



So again,


Exact Distance: sqrt%2834%29 units


Approximate Distance: 5.8309518948453 units