What is the distance between #(-3,-48)# and #(-17,-42)#?

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Answer 1 · 2016-04-05T07:27:35

#2sqrt52#

#color(blue)((-3,-48)and(-17-42)#

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Where

#color(purple)(x_1=-3,x_2=-17#

#color(purple)(y_1=-48,y_2=-42#

#:.d=sqrt((-17-(-3))^2+(-42-(-48))^2)#

#rarrd=sqrt((-17+3)^2+(-42+48)^2)#

#rarrd=sqrt((-14)^2+(6)^2)#

#rarrd=sqrt(196+36)#

#rarrd=sqrt(232)#

#rarrd=sqrt(4*52)#

#color(green)(rArrd=2sqrt52~~15.23#