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Find the distance between the points E(3,7) and F(6, 5). Answer in simplest exact form.

The exact distance between the two points is

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Final answer:

The exact distance between the points E(3,7) and F(6, 5) is sqrt(13).


Step-by-step explanation:

To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is given by: sqrt((x2 - x1)^2 + (y2 - y1)^2). In this case, the coordinates of point E are (3,7) and the coordinates of point F are (6,5). Plugging these values into the distance formula, we get: sqrt((6 - 3)^2 + (5 - 7)^2). Simplifying further, we have: sqrt(9 + 4). So, the exact distance between the points E(3,7) and F(6, 5) is: sqrt(13).


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