Question

Explain how you determined the length of segment LM using 2-3 sentences or explain your steps used to find the value for y.

Answer 1

Explanation:

The question is incomplete so I'll assume the segment LM is defined by these two points:

$L(4,3) \\ \\ M(5,8)$

So we can find the length of the segment by using the distance formula:

$d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} \\ \\ \\ So, \ if \ we \ call: \\ \\ L(x_{1},y_{1}) \ and \ M(x_{2},y_{2}) \\ \\ \\ Then: \\ \\ \overline{LM}=\sqrt{(4-5)^2+(3-8)^2} \\ \\ \overline{LM}=\sqrt{(-1)^2+(-5)^2} \\ \\ \overline{LM}=\sqrt{1+25} \\ \\ \boxed{\overline{LM}=\sqrt{26}}$