Question

Find the length of the segment shownbelow. Round to the nearest hundredth.A. 2.24B. 9.85C. 3.61D. 8.35E. 7.63

Answer 1

The length of the segment is 9.85.

`B.9.85`

Step-by-step explanation:

We want to find the distance between two points.

Using the formula;

`d=\sqrt[]{(x_2-x_1)^2+(y_{2_{}}-y_1)^2}`

The two endpoints have the coordinates;

`\begin{gathered} (-4,-1) \\ (5,3) \end{gathered}`

Substituting the coordinates, we have;

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_{2_{}}-y_1)^2} \\ d=\sqrt[]{(5-(_{}-4)_{})^2+(3_{}_{}-(-1))^2} \\ d=\sqrt[]{(9)^2+(4)^2} \\ d=\sqrt[]{81+16} \\ d=\sqrt[]{97} \\ d=9.85 \end{gathered}`

Therefore, the length of the segment is 9.85.

`B.9.85`