Answer:
To calculate the distance between the points A = (3, 0) and F = (-2, -3), we can use the distance formula:
distance = √[(x2 - x1)² + (y2 - y1)²]
where (x1, y1) = (3, 0) and (x2, y2) = (-2, -3).
Substituting these values, we get:
distance = √[(-2 - 3)² + (-3 - 0)²]
distance = √[(-5)² + (-3)²]
distance = √[25 + 9]
distance = √34
Rounding to the nearest hundredth, we get:
distance ≈ 5.83
Therefore, the distance between the points A = (3, 0) and F = (-2, -3) in the coordinate plane, rounded to the nearest hundredth, is approximately 5.83 units.