Question

Find the length of line segment MN. Round to the nearest hundredths place.

Answer 1

First, look th the graph and set the coordinate of the points:

M = (mx,my)= (-1,2)

N = (nx,ny)= (4,0)

Now, apply the distance formula:

`\text{Distance =}\sqrt[]{(mx-nx)^2+(my-ny)^2}`

Replace with the coordinates:

`D\text{ =}\sqrt[]{(-1-4)^2+(2-0)^2}`
`D=\sqrt[]{(-5)^2+2^2}=\sqrt[]{25+4}=\sqrt[]{29}\text{ =5.3}9`

Distance: 5.39