What is the distance from (-4, 3) to (-2 -2)? Round your answer to the nearest hundredth

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Answer 1 · 2018-04-27T08:38:39

Distance is #color(blue)(5.39)# to the nearest hundredth.

The distance between two points can be found using the distance formula:

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

Let #(-4,3)->(x_1,y_1)#

and

Let #(-2,-2)->(x_2,y_2)#

Plugging these into the formula:

#d=sqrt((-2-(-4))^2+(-2-3)^2)=sqrt(4+25)=sqrt(29)#

#sqrt(29)~~5.385164807#

Distance is #color(blue)(5.39)# to the nearest hundredth.