Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Find the distance between the points given.

(-10, 3) and (-10, 12)


9

15


Sagot :

naǫ
The distance between the points (x₁,y₁) and (x₂,y₂):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex](-10,3) \\ x_1=-10 \\ y_1=3 \\ \\ (-10,12) \\ x_2=-10 \\ y_2=12 \\ \\ d=\sqrt{(-10+10)^2+(12-3)^2}=\sqrt{0+9^2}=\sqrt{9^2}=9[/tex]

Another method:
The points have the same x-coordinate so they lie on the same line. y-coordinates are positive so you just subtract 3 from 12. See the picture in the attachment.

The answer is 9.
View image naǫ
The way to solve it can be shorter :) 
Just look, that  these points have got the same x-coordinate, 
so they lie  on the same line, which is parallel to the OY axis, 
So  your taks is only  find different  in y-coordinate. That is
12-3 = 9 
And this is answer :)