What is the distance between #(2,-14)# and #(-4,5)#?

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Answer 1 · 2016-03-05T23:27:52

I assume that you know the distance formula (square root of sum of corresponding coordinates squared)

#sqrt((a-b)^2 + (c-d)^2#

We can just plug in the corresponding values into the formula

#sqrt((2-(-4))^2 + (-14-5)^2#

#sqrt((6)^2 + (-19)^2)#

This becomes #sqrt(36+361)#

Which is #sqrt(397)#

This cannot be simplified further, so we are done.