What is the distance between #(5, 6) # and #(1, -3) #?

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Answer 1 · 2016-04-11T08:57:14

#4sqrt2#

#color(blue)((5,6)and(1,-3)#

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

Note: #d=di##s##ta##nce#

Where

#color(purple)(x_1=5,x_2=1#

#color(purple)(y_1=6,y_2=-3#

#rarrd=sqrt((1-5)^2+(-3-1)^2)#

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

#rarrd=sqrt((16)+(16))#

#rarrd=sqrt32=sqrt(16*2)#

#color(green)(rArrd=4sqrt2#

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