Question

What is the distance between home and school? round to the nearest hundredth -- if needed ;) *

Answer 1

Question:

Solution:

Notice that the coordinates of the home and school are:

Coordinates of Home = (X1,Y1)=(0,0)

Coordiantes of School = (X2,Y2)=(4,3)

Now, by definition, the distance between two points is given by the following formula:

$d\text{ = }\sqrt[]{(X2-X1)^2+(Y2-Y1)^2}$

Therefore, replacing the previous data in the distance formula, we get:

$d\text{ = }\sqrt[]{(4-0)^2+(3-0)^2}\text{ = }\sqrt[]{(4)^2+(3)^2\text{ }}\text{ = }\sqrt[]{25}\text{ = 5}$

Then, we can conclude that the distance between home and school is

$d\text{ = 5}$