What is the distance between # (-6, -6) # and # (–5, 13) #?

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Answer 1 · 2015-12-29T17:31:52

Distance
# =color(blue)(sqrt(362)#

The points are
#(-6,-6) = color(blue)(x_1,y_1#

#(-5,13) = color(blue)(x_2,y_2#

Distance can be found using formula

distance # = color(blue)(sqrt((x_2-x_1)^2 + (y_2-y_1)^2#

# =sqrt((-5- (-6)^2 + (13-(-6))^2#

# =sqrt((-5 +6)^2 + (13 +6)^2#

# =sqrt((1)^2 + (19)^2#

# =sqrt((1 +361)#

# =color(blue)(sqrt(362)#