Question

A segment has endpoints L(-2,7) and K(5,-3). Find LK

Answer 1

`LK=\sqrt[]{149}`

Step-by-step explanation:

Given that a segment has endpoints L(-2, 7) and K(5, -3).

To find LK, we find the distance between the line segments, using the formula:

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

Here:

`\begin{gathered} x_1=-2 \\ y_1=7_{} \\ x_2=5 \\ y_2=-3 \end{gathered}`

Using these, we have:

`\begin{gathered} D=\sqrt[]{(-3-7)^2+(5-(-2))^2} \\ \\ =\sqrt[]{(-10)^2+(7)^2} \\ \\ =\sqrt[]{100+49} \\ \\ =\sqrt[]{149} \end{gathered}`