Distance To find the distance between the swing and the sandbox in his backyard, Darren made a graph and found the coordinates of the swing to be (7, 2) and the coordinates of the sandbox to be (-3,8). Find the distance between the swing and the sandbox to the nearest tenth of a unit.

The distance between the swing and the sandbox is 11.7 units

Step-by-step explanation:

The distance between points (x1, y1) and (x2, y2) is

d =

Let us use this rule to solve the question

∵ Darren located the swing at point (7, 2)

∵ She located the sandbox at point (-3, 8)

∴ x1 = 7 and y1 = 2

∴ x2 = -3 and y2 = 8

→ Substitute them in the rule above

∴ d =

∴ d =

→ Find the value of the root

∴ d = 11.66190379

→ Round it to the nearest tenth

∴ d = 11.7 units

∴ The distance between the swing and the sandbox is 11.7 units

answer: sine

step-by-step explanation: