Question

Nelson goes to three main places most days school, work and his home. They are graphed below. What is the distance between his home and his work? 4.2 9.5 11.2 90

Answer 1

9.5

Step-by-step explanation

To find the distance between home and work, we have to use the formula:

`D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

We have that home is at point (3, -3) and work is at point (0, 6).

Therefore:

(x1, y1) = (3, -3)

(x2, y2) = (0, 6)

Therefore, we have that:

`\begin{gathered} D\text{ = }\sqrt[]{(0-3)^2+(6-(-3))^2} \\ D\text{ = }\sqrt[]{(-3)^2+(6+3)^2}\text{ = }\sqrt[]{(-3)^2+(9)^2} \\ D\text{ = }\sqrt[]{9\text{ + 81}}\text{ = }\sqrt[]{90} \\ D\text{ = 9.5} \end{gathered}`

The answer is 9.5