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 units 9.54 10.44 13.00 13.15

Question

asked Aug 20, 2019 207k views

2 Answers

Gjb · Answer 1 · 2019-08-25T21:35:02+0000

Answer:

B. 10.44 units.

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.

$\text{Distance}=√((x_2-x_1)^2+(y_2-y_1)^2)$

Upon substituting the coordinates of point A and B in distance formula we will get,

$\text{Distance between point A and point B}=√((1--9)^2+(-1--4)^2)$

$\text{Distance between point A and point B}=√((1+9)^2+(-1+4)^2)$

$\text{Distance between point A and point B}=√((10)^2+(3)^2)$

$\text{Distance between point A and point B}=√(100+9)$

$\text{Distance between point A and point B}=√(109)$

$\text{Distance between point A and point B}=10.4403065089105502\approx 10.44$

Therefore, the length of line segment AB is 10.44 units and option B is the correct choice.