What is the distance between #(-19,7)# and #(44,3)#?

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Answer 1 · 2016-03-30T16:41:17

Distance # = sqrt (3985)#

#( -19 , 7 ) =color(green)(x_1 , y_1#

#( 44, 3 ) =color(green)(x_2 , y_ 2#

Distance is calculated using formula:

Distance # = sqrt (( x_2 - x _1 )^2 + (y_2 - y_1)^2)#

# = sqrt (( 44 - (-19 ) )^2 + (3 - 7)^2)#

# = sqrt (( 44 + 19 )^2 + (-4)^2)#

# = sqrt (( 63 )^2 + (-4)^2)#

# = sqrt ((3969 + 16)#

# = sqrt (3985)#