Answer: 16.6 units
Explanation:
To find the distance between two points (-3, 8) and (6, -6), you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) = (-3, 8) and (x2, y2) = (6, -6).
Distance = √((6 - (-3))^2 + (-6 - 8)^2)
Now, calculate the differences:
Distance = √((6 + 3)^2 + (-6 - 8)^2)
Distance = √((9)^2 + (-14)^2)
Now, square and sum the differences:
Distance = √(81 + 196)
Distance = √277
Now, round the answer to the nearest tenth:
Distance ≈ 16.6 (rounded to the nearest tenth)
So, the distance between the points (-3, 8) and (6, -6) is approximately 16.6 units.