What is the distance between (-6, -6) and (4,0) ?

1 Answer
Shantelle
May 28, 2018

The distance is 2sqrt34 or about 11.66.

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((0-(-6))^2 + (4-(-6))^2)

And now we simplify:
d = sqrt((6)^2 + (10)^2)

d = sqrt(36 + 100)

d = sqrt(136)

d = sqrt(4*34)

d = sqrt4sqrt34

d = 2sqrt34

If you want the exact distance, you can leave it as 2sqrt34, but if you want it in decimal form, it is ~~11.66 (rounded to nearest hundredth's place).

Hope this helps!

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