Tony's dorm is 7.5 miles far from the library.
Step-by-step explanation:
Given points are;
(4,0) and (12,6)
![x_1=4,\ \ \ \ \ \ \ y_1=0\\x_2=12,\ \ \ \ \ \ y_2=6](https://tex.z-dn.net/?f=x_1%3D4%2C%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20y_1%3D0%5C%5Cx_2%3D12%2C%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20y_2%3D6)
Using point distance formula;
Distance = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![Distance=\sqrt{(12-4)^2+(6-0)^2} \\Distance=\sqrt{(8)^2+(6)^2}\\Distance=\sqrt{64+36}\\Distance=\sqrt{100}\\Distance=10\ units](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%2812-4%29%5E2%2B%286-0%29%5E2%7D%20%5C%5CDistance%3D%5Csqrt%7B%288%29%5E2%2B%286%29%5E2%7D%5C%5CDistance%3D%5Csqrt%7B64%2B36%7D%5C%5CDistance%3D%5Csqrt%7B100%7D%5C%5CDistance%3D10%5C%20units)
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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