Monday, June 10, 2013

The line segment YZ with endpoints Y (3,-8) and Z (z,4) has a length of 13. What is the value of z?

%0D%0Ad=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29%0D%0A 
%0D%0A13%5E2=%28z-3%29%5E2%2B%284%2B8%29%5E2%0D%0A 



%0D%0A%28z-3%29%5E2=13%5E2-12%5E2%0D%0A 

%0D%0A%28z-3%29%5E2=25%0D%0A 

z=5+3=8 
or 
z=-5+3=-2 


:)
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