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what do you do when theres fractions in a question using the Distance Formula? My question: (-9 1/4, -7 1/2), (-4, 5)

 Apr 7, 2016
 #1
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(-9 1/4, -7 1/2), (-4, 5)

 

First, let's simplify the fractions by getting one common denominator  = 4

 

-[9 + 1/4]  = -[ 37/4]

-[7 + 1/2]  = -[ 15/2]  = -[30/4]

 5  = 20/4

-4  = -16/4

 

So  we would have

 

( -37/4, -30/4) , ( -16/4, 20/4)

 

sqrt  [  ( -37/4 -  - 16 /4)^2  + ( -30/4 - 20/4)^2  ]  =

 

sqrt [ ( -21/4)^2  + (-50/4)^2 ]  =

 

sqrt [ 441/16 + 2500/16 ] =

 

sqrt [ 2941/16]       we can split this up as :

 

sqrt [2941] / sqrt [16]  =

 

sqrt [2941] / 4  =

 

about 13.56  units

 

 

cool cool cool

 Apr 7, 2016

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