A coordinate grid is placed over a map and every unit represents 1 km.

The point at (2,3) represents of the library and the point at (6,-1) represents the location of the police station

To the nearest tenth of a kilometer, what is the distance between the library and the police station?

Respuesta :

The formula for the distance between these 2 points is [tex]d= \sqrt{( x_{2}- x_{1) ^{2}+( y_{2}- y_{1}) ^{2} [/tex].  Your x1 is 2, your x2 is 6, your y1 is 3, and your y2 is -1.  So let's fill in then: [tex]d= \sqrt{(6-2) ^{2}+(-1-3) ^{2} } [/tex].  This simplifies to [tex]d= \sqrt{(4) ^{2}+(-4) ^{2} } [/tex] which is [tex]d= \sqrt{32} [/tex].  This comes out to 5.66