Question

Hello can you assist me please #7What is the length MN

Answer 1

Step-by-step explanation

The question requires that we get the length of line MN

To do so

We, have to get the coordinates M and N

`\begin{gathered} \text{For M} \\ we\text{ have (-4,-2)} \end{gathered}`
`\begin{gathered} \text{For N} \\ we\text{ have }(2,-8) \end{gathered}`

Then, the next step will be to use the formula to find the distance between two point

`\begin{gathered} MN=\sqrt[]{(x_2-x_1_{})^2+(y_2-y_1)^2} \\ MN=\sqrt[]{(2-(-4))^2+(-8-(-2))^2} \\ MN=\sqrt[]{6^2+(-6)^2} \\ MN=\sqrt[]{36+36} \\ MN=\sqrt[]{72} \\ MN=6\sqrt[]{2} \end{gathered}`

Thus, the value of MN is

`\begin{gathered} 6\sqrt[]{2} \\ or \\ 8.485 \end{gathered}`