Find the length of the segment connecting the two given points. Write your final answer in simplest form. *Round your answer to the nearest thousandth place if necessary.




(5,-3) and (8,-2)




d = ?

Respuesta :

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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