Question

Find the distance between S (6,4) and T (3,2) . Round to the nearest tenth, if necessary.

Answer 1

The distance between points S and T is approximately 3.6 units.

Explanation:

We can find the distance between two points using the distance formula, which is given by:

`D=\sqrt{(y_(2)-y_(1))^2+(x_(2)-x_(1))^2 }`, where

• D is the distance,
• (x1, y1) is one point,
• and (x2, y2) is another point.

Thus, we find the distance (D) between the two points by substituting (6, 4) for (x1, y1) and (3, 2) for (x2, y2) in the distance formula:

`D=√((2-4)^2+(3-6)^2)\\ D=√((-2)^2+(-3)^2)\\ D=√(4+9) \\D=√(13)\\ D=3.605551275\\D=3.6`

Therefore, the distance between points S and T is about 3.6 units.