What is the distance between $(23,-14)$ and $(20,-9)$ ?

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Answer 1 · 2018-06-22T21:56:47

See a 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:

$d = sqrt((color(red)(20) - color(blue)(23))^2 + (color(red)(-9) - color(blue)(-14))^2)$

$d = sqrt((color(red)(20) - color(blue)(23))^2 + (color(red)(-9) + color(blue)(14))^2)$

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

$d = sqrt(9 + 25)$

$d = sqrt(34)$

Or, approximately:

$d ~= 5.83$

What is the distance between (23,-14)(23,-14) and (20,-9)(20,-9)?