Tony's dorm is 7.5 miles far from the library.
Step-by-step explanation:
Given points are;
(4,0) and (12,6)
[tex]x_1=4,\ \ \ \ \ \ \ y_1=0\\x_2=12,\ \ \ \ \ \ y_2=6[/tex]
Using point distance formula;
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance=\sqrt{(12-4)^2+(6-0)^2} \\Distance=\sqrt{(8)^2+(6)^2}\\Distance=\sqrt{64+36}\\Distance=\sqrt{100}\\Distance=10\ units[/tex]
One unit represents 0.75 miles, therefore,
10 units = 0.75*10 = 7.5 miles
Tony's dorm is 7.5 miles far from the library.
Keywords: distance, multiplication
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