What is the distance between #(8, 2) # and # (–5, –9) #?

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Answer 1 · 2016-03-23T17:20:11

# = sqrt (220)#

The coordinates are:
#(8,2) = color(blue)(x_1 , y_1#

#(-5, -9) = color(blue)(x_2 , y_2#

The distance is calculated using formulaa:
Distance # = sqrt ((x_2 - x_1)^2 + ( y_2 - y_1)^2#

# = sqrt ((-5-8)^2 + (-9-2)^2#

# = sqrt ((-13)^2 + (-11)^2#

# = sqrt ((169 + 121)#

# = sqrt (220)#