Question

Two students started at the coordinate (0, 0). Student A walked 7 units east and 5 units south. Student B walked 4 units west and 1 unit south. How many units apart are the students?

Answer 1

ANSWER:

The distance is:

$\sqrt[]{137}$

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the location in the Cartesian plane for student A and student B.

We are guided by the following:

Therefore:

Student A

$(7,-5)$

Student B

$(-4,-1)$

The distance in the plane is given by the following equation:

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

replacing:

$\begin{gathered} d=\sqrt[]{(-4-7)^2+(-1+5)^2} \\ d=\sqrt[]{(-11)^2+(4)^2} \\ d=\sqrt[]{121+16} \\ d=\sqrt[]{137} \end{gathered}$