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work out the length of line segment between

a) (2, 5) and (7, 17)

b) (-10, 1)and(-7, -3)

 Jan 24, 2016
 #1
avatar+129847 
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Distance formula =  sqrt  [ (subtract x's)^2  + (subtract y's)^2 ]

 

a. (2, 5) and (7, 17)  =

 

sqrt[ (7 - 2)^2  + (17 - 5)^2]  =

 

sqrt [ 5^2    + 12^2]  =

 

sqrt [25 + 144] =

 

sqrt [169]  =   13 units

 

 

b. (-10, 1)and(-7, -3)  =

 

sqrt [ ( -7 - -10)^2 + ( -3 -1)^2]  =

 

sqrt [ (-7 + 10)^2 + (-4)^2]  =

 

sqrt[ 3^2  + (-4)^2]  =

 

sqrt [9 + 16]  =

 

sqrt [25]  =  5 units

 

 

 

cool cool cool

 Jan 24, 2016

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