Mathematics: 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.

Start fraction 5 over 6 end fraction and 0.833......

Distance To find the distance between the swing

meramera50

06.02.2022

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 = $\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$

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 = $\sqrt{(-3-7)^{2}+(8-2)^{2}}=\sqrt{(-10)^{2}+(6)^{2}}$

∴ d = $\sqrt{100+36}=\sqrt{136}$

→ 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

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