What is the distance between the points A(—4, 2) and B(15, 6)?

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Answer 1 · 2016-03-01T12:59:22

#sqrt377#

#color(blue)((-4,2)and (15,6)#

To find the distance between #2# points

Use distance formula

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

Where

#color(red)(x_1=-4,y_1=2,x_2=15,y _2=6#

#rarrd=sqrt((15-(-4))^2+(6-2)^2)#

#rarrd=sqrt((19)^2+(4)^2#

#rarrd=sqrt(361+16)#

#color(green)(rArrd=sqrt377~~19.4#