Final answer:
The distance between the points (8,4) and (3,2), using the distance formula, is approximately 5.4 units when rounded to the nearest tenth.
Step-by-step explanation:
To find the distance between two points, we use the distance formula which is derived from the Pythagorean theorem. The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional plane is given by:
\[Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2}\]
In this case, the points are (8,4) and (3,2). We plug these coordinates into the formula to get:
\[Distance = \sqrt{(3-8)^2 + (2-4)^2} = \sqrt{(-5)^2 + (-2)^2} = \sqrt{25 + 4} = \sqrt{29}\]
Now we approximate \(\sqrt{29}\) using a calculator:
Distance ≈ 5.4 (rounded to the nearest tenth)
Therefore, the distance between the points (8,4) and (3,2), rounded to the nearest tenth, is approximately 5.4 units.