How do you find the distance between #4sqrt5,7), (6sqrt5,1)#?

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Answer 1 · 2017-02-13T22:45:48

See the entire solution 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 values from the points in the problem gives:

#d = sqrt((color(red)(6sqrt(5)) - color(blue)(4sqrt(5)))^2 + (color(red)(1) - color(blue)(7))^2)#

#d = sqrt(color(red)(2sqrt(5))^2 + (-6)^2)#

#d = sqrt((4 xx 5) + 36)#

#d = sqrt(20 + 36)#

#d = sqrt(56) = 7.483# rounded to the nearest thousandth.