Answer:
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 = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
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 = [tex]\sqrt{(-3-7)^{2}+(8-2)^{2}}=\sqrt{(-10)^{2}+(6)^{2}}[/tex]
∴ d = [tex]\sqrt{100+36}=\sqrt{136}[/tex]
→ 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
