To the nearest hundredth, what is the length of line segment AB ? Drag your answer into the box. The length of line segment AB is approximately units9.5410.4413.0013.15

Answer:B. 10.44 units.Step-by-step explanation:We are asked to find the length of line segment AB.To find the length of line segment AB we will use distance formula.[tex]\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Upon substituting the coordinates of point A and B in distance formula we will get,[tex]\text{Distance between point A and point B}=\sqrt{(1--9)^2+(-1--4)^2}[/tex][tex]\text{Distance between point A and point B}=\sqrt{(1+9)^2+(-1+4)^2}[/tex][tex]\text{Distance between point A and point B}=\sqrt{(10)^2+(3)^2}[/tex][tex]\text{Distance between point A and point B}=\sqrt{100+9}[/tex][tex]\text{Distance between point A and point B}=\sqrt{109}[/tex][tex]\text{Distance between point A and point B}=10.4403065089105502\approx 10.44[/tex]Therefore, the length of line segment AB is 10.44 units and option B is the correct choice.