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What is the distance between points (5,7)and (8,4)?

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Final answer:

To find the distance between two points, (5,7) and (8,4), we can use the distance formula in two-dimensional space. The distance is sqrt(18) units.

Step-by-step explanation:

To find the distance between two points, (5,7) and (8,4), we can use the distance formula in two-dimensional space. The distance between two points (x1, y1) and (x2, y2) is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values from the given points, we have:

d = sqrt((8 - 5)^2 + (4 - 7)^2)

Simplifying, we get:

d = sqrt(3^2 + (-3^2)) = sqrt(9 + 9) = sqrt(18)

Hence, the distance between points (5,7) and (8,4) is sqrt(18) units.

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