The length of the segment joining the points which are given is [tex]\sqrt{10}[/tex]
To measure the distance between these two given points
The given coordinates are
Let P = P(5,-3) and Q = Q(8,-2)
By using the distance formula we get;
the distance formula is used to calculate the length of the segment when points are given as in this question
thus the distance formula is :
[tex]\sqrt{(x2-x1)^2 + (y2 - y1)^2}[/tex]
here x2 = 8 and x1 = 5
and y2 = - 2 and y1 = - 3
thus on substituting the values we get
[tex]\sqrt{(8-5)^2 + ( -2 +3)^2}[/tex]
= [tex]\sqrt{3^2 + 1^2}[/tex]
= [tex]\sqrt{10}[/tex]
Thus the length of the segment is [tex]\sqrt{10}[/tex] units
To know more about distance formula or related problems you may visit the link which is mentioned below:
https://brainly.com/question/28956738
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