here are the solutions to the distance problems:
To find the distance between the two points (0,1) and (0,6), we can use the distance formula:
Distance = √[(y2 - y1)² + (x2 - x1)²]
Substituting the values, we get:
Distance = √[(6 - 1)² + (0 - 0)²] = √25 = 5
Therefore, the distance between the two points is 5 units.
To find the distance between the two points (2,1) and (5,6), we can use the distance formula:
Distance = √[(y2 - y1)² + (x2 - x1)²]
Substituting the values, we get:
Distance = √[(6 - 1)² + (5 - 2)²] = √34 ≈ 5.8
Therefore, the distance between the two points is approximately 5.8 units (rounded to the nearest tenth).
To find the distance between the two points (4,6) and (-2,-2), we can use the distance formula:
Distance = √[(y2 - y1)² + (x2 - x1)²]
Substituting the values, we get:
Distance = √[(-2 - 6)² + (-2 - 4)²] = √80 ≈ 8.9
Therefore, the distance between the two points is approximately 8.9 units (rounded to the nearest tenth).