The units of the subway map below are in miles. Suppose the routes between stations are straight. Find the approximate distance a passenger would travel between stations J and K.



Answer :

Point J has coordinates (2,6)

Point K has coordinates (-1,-3)

The distance between 2 point is given by

[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where

[tex]\begin{gathered} (x_1,y_1)=\mleft(2,6\mright) \\ (x_2,y_2)=(-1,-3) \end{gathered}[/tex]

By substituying these values, we have

[tex]\begin{gathered} d=\sqrt[]{(-1_{}-2)^2+(-3-6)^2} \\ d=\sqrt[]{(-3)^2+(-9)^2} \\ d=\sqrt[]{9+81} \\ d=\sqrt[]{90} \end{gathered}[/tex]

hence,

[tex]d=9.49[/tex]

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