The question asks us to find the distance between Pizza Hut and McDonald's.
In order to find this distance, we need to know the coordinates of Pizza Hut and that of McDonald's.
The coordinates are shown below in the picture below:
Coordinates of McDonald's is: (1, 4)
Coordinates of Pizza Hut is: (-4, -3)
In order to find the distance between two points on a coordinate plane, we use the formula:
[tex]\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ \\ \text{where,} \\ y_2=y-\text{coordinate of McDonald's} \\ y_1=y-\text{coordinate of Pizza Hut} \\ x_2=x-\text{coordinate of McDonald's} \\ x_1=x-\text{coordinate of Pizza Hut} \end{gathered}[/tex]
With the above formula, we can proceed to find the Distance between both restaurants.
This is done below:
[tex]\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ y_2=4,x_2=1 \\ y_1=-3,x_1=-4 \\ \\ \therefore d=\sqrt[]{(4--3)^2+(1--4)^2} \\ d=\sqrt[]{7^2+5^2} \\ d=\sqrt[]{49+25}=\sqrt[]{74} \\ \\ \therefore d=8.6023\approx8.6\text{ (to nearest tenth)} \end{gathered}[/tex]
Therefore the distance between Pizza Hut and McDonald's is: 8.6 units
