The coordinates (5, 2) and (–6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment?

Respuesta :

Let
Point 1 ----------> (5, 2)
Point 2 ----------> (–6, 2)
we know that 
the distance between two points 
it is calculated with the formula
d=√[(y2-y1)²+(x2-x1)²]
then
d=√[(2-2)²+(-6-5)²]
d=√[(0)²+(-11)²]
d=√[121]
d=√121-----------> d=11 units

the answer is 11 units

The length of the segment formed by the two given endpoints with coordinates coordinates (5, 2) and (–6, 2) is;

d = 11

Formula for distance between two coordinates is given as;

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

We are given the coordinates (5, 2) and (–6, 2).

This means that;

x₁ = 5 and x₂ = -6

y₁ = 2 and y₂ = 2

Thus;

d =  √[(-6 - 5)² + (2 - 2)²]

d = √(121 + 0)

d = √121

d = 11

      In conclusion, the length of the segment formed by the two given endpoints is; d = 11

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