Sharon and jacob started at the same place. jacob walked 3 m north and then 4 m west. sharon walked 5 m south and 12 m east. how far apart are jacob and sharon now?

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates and can be calculated using formula

Therefore, the distance between  Jacob and Sharon is

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