Final answer:
To find 1/5 of the distance between two points, first calculate the total distance using the distance formula. Then, multiply the total distance by 1/5 to find the desired fraction of the distance.
Step-by-step explanation:
In order to find 1/5 of the distance from (-5,-5) to (2,9), we first need to find the total distance between the two points.
Using the distance formula, we can calculate the distance as follows:
Distance = sqrt((2 - (-5))^2 + (9 - (-5))^2) = sqrt(7^2 + 14^2) = sqrt(49 + 196) = sqrt(245) ≈ 15.62
Therefore, 1/5 of the distance is equal to (1/5) * 15.62 = 3.12 units.