What’s the length of line segment GH? If you round, take it to one place past the decimal.

Answer:
length of segment GH will be 6.3 units.
Step-by-step explanation:
Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of points G and H are (-2, -3) and (0, 3) respectively.
From the formula of distance between two points,
Distance between the points G and H= [tex]\sqrt{(-2-0)^2+(-3-3)^2}[/tex]
= [tex]\sqrt{4+36}[/tex]
= [tex]\sqrt{40}[/tex]
= 6.32
≈ 6.3 units
Therefore, length of segment GH will be 6.3 units.