find the distance of each segment

M(-1.3, -1.3) and N (-1.3, 3.6)

oh, come on!

Both points lie on the vertical line x = -1.3
So the distance MN is just 3.6-(-1.3) = 4.9

I apologize for the confusion in my previous response. You are correct that since both points lie on the same vertical line, the distance between M and N is simply the difference in their y-coordinates, which is 3.6 - (-1.3) = 4.9. Thank you for bringing this to my attention and for providing the correct answer.

To find the distance between two points, you can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of M are (-1.3, -1.3), and the coordinates of N are (-1.3, 3.6).

Let's calculate the distance step by step:

Distance = sqrt((-1.3 - (-1.3))^2 + (3.6 - (-1.3))^2)
Distance = sqrt((0)^2 + (4.9)^2)
Distance = sqrt(0 + 24.01)
Distance = sqrt(24.01)
Distance ≈ 4.9

Therefore, the distance between M(-1.3, -1.3) and N(-1.3, 3.6) is approximately 4.9 units.

The distance between M and N can be found using the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

Where (x1, y1) = (-1.3, -1.3) and (x2, y2) = (-1.3, 3.6)

d = √((-1.3 - (-1.3))² + (3.6 - (-1.3))²)
d = √(0² + 4.9²)
d ≈ 4.419

Therefore, the distance between M and N is approximately 4.419 units.