What is the distance between (-9,2) and (12,-8)?

1 Answer
Shantelle
Apr 29, 2018

The distance is sqrt541 or ~~23.26

Explanation:

The distance between two points is shown by the formula:
d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

We have the values for the two coordinates, so we can substitute them into the distance formula:
d = sqrt((-8-2)^2 + (12-(-9))^2)

And now we simplify:
d = sqrt((-10)^2 + (21)^2)

d = sqrt(100 + 441)

d = sqrt(541)

If you want the exact distance, you can leave it as sqrt541, but if you want it in decimal form, it is ~~23.26 (rounded to nearest hundredth's place).

Hope this helps!

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