Answer:
The length of the segment is 9.85.
[tex]B.9.85[/tex]
Explanation:
We want to find the distance between two points.
Using the formula;
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_{2_{}}-y_1)^2}[/tex]
The two endpoints have the coordinates;
[tex]\begin{gathered} (-4,-1) \\ (5,3) \end{gathered}[/tex]
Substituting the coordinates, we have;
[tex]\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}[/tex]
Therefore, the length of the segment is 9.85.
[tex]B.9.85[/tex]
