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

1 Answer
Apr 29, 2018

Answer:

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!