The distance formula is applied to find the length of the track between coordinates (2, 2) and (6, 5), resulting in a length of 5 units.
To determine the length of the track, we can use the distance formula, which calculates the distance between two points in a Cartesian plane. The distance formula is given as:
Distance = Square root of [(x2 - x1)^2 + (y2 - y1)^2]
For the given coordinates (2, 2) and (6, 5), let (x1, y1) represent the first point (2, 2) and (x2, y2) represent the second point (6, 5). Substituting these values into the formula:
Distance = Square root of [(6 - 2)^2 + (5 - 2)^2]
Simplifying:
Distance = Square root of [4^2 + 3^2]
Distance = Square root of [16 + 9]
Distance = Square root of [25]
Distance = 5
Therefore, the length of the track is 5 units.
In summary, using the distance formula, the length of the track between the coordinates (2, 2) and (6, 5) is calculated to be 5 units.