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.

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