What is the distance between #(2,17)# and #(-19,35)#?

1 Answer
Shantelle
Apr 29, 2018

The distance is #sqrt613# or #~~24.76#

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((35-17)^2 + (-19-2)^2)#

And now we simplify:
#d = sqrt((18)^2 + (-17)^2)#

#d = sqrt(324 + 289)#

#d = sqrt(613)#

If you want the exact distance, you can leave it as #sqrt613#, but if you want it in decimal form, it is #~~24.76# (rounded to nearest hundredth's place).

Hope this helps!

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