Answer:
32.2 units
Step-by-step explanation:
The length of a line segment can be found from its endpoint coordinates using the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040
d ≈ 32.2
The line segment is about 32.2 units long.
The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
We have two points (2, 10) and (18, -18)
From the distance formula:
[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]
[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]
[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]
[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units or
d = 32.25 units
Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).
Learn more about the distance formula here:
brainly.com/question/18296211
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