Respuesta :
The distance between points J(-2 , 6) and K(1 , 4) will be equal to 3.6.
Two points J(-2 , 6) and K(1 , 4) are given .
We have to find out the distance between two points.
What is the distance formula ?
The distance formula is [tex]\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }[/tex] where two points are ([tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ([tex]x_{2}[/tex] , [tex]y_{2}[/tex]).
As per the question ;
J ([tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) = J (-2 , 6) and K ([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = K (1 , 4)
and
The distance formula is ;
[tex]\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }[/tex]
So ,
The distance between points J(-2 , 6) and K(1 , 4) will be ;
= [tex]\sqrt{(-2-1)^{2} + (6-4)^{2} }[/tex]
= [tex]\sqrt{(-3)^{2} + (2)^{2} }[/tex]
= [tex]\sqrt{(9)+ (4)}[/tex]
= √13
= 3.6 ( round to nearest tenth)
Thus , the distance between points J(-2 , 6) and K(1 , 4) will be equal to 3.6.
To learn more about distance click here ;
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