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The set of all solutions of the system 

is a quadrilateral region. Find the number of units in the length of the longest side. Express your answer in simplest radical form.

 Mar 10, 2019
 #1
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We can use a graph to help with this : https://www.desmos.com/calculator/4beobd4b3x

 

The vertex points of the quadrilateral  are  (0, 3)  (0,2)  (1,0)  and (3, 0)

 

By visual inspection , the longest side  is the distance from (0,3) to (3,0)

 

And this distance =  √ [ (3 - 0)^2 + (3 - 0)^2 ] = √  [9 + 9 ]  = √18  =  3√2 units

 

 

cool cool cool

 Mar 11, 2019

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