Answer:
AB = 10.77 units
Step-by-step explanation:
If the extreme ends of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex].
Then the length of the segment joining these extreme ends will be,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).
Measure of AB = [tex]\sqrt{(7+3)^2+(5-1)^2}[/tex]
AB = [tex]\sqrt{100+16}[/tex]
AB = [tex]\sqrt{116}[/tex]
AB = 10.77 units
Therefore, length of the segment AB will be 10.77 units.
