How do you find the distance between points (5,1), (0,4)?

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Answer 1 · 2017-01-16T02:46:54

See entire process below:

The formula for calculating the distance between two points is:

#d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)#

Substituting the points from the problem gives:

#d = sqrt((color(red)(0) - color(blue)(5))^2 + (color(red)(4) - color(blue)(1))^2)#

#d = sqrt((-5)^2 + (3)^2)#

#d = sqrt(25 + 9)#

#d = sqrt(34)#

Or

#d = 5.83# rounded to the nearest hundredth.