Question:-
What is the distance between a point at (-3,4) and a point at (2,-5) ?
Solution:-
Let the two points be A and B .
And, let the distance be P .
Now, the distance P between the point A (-3,4) and the point B (2,-5) is
[tex] \bf P \: = \sqrt{(-3 \: - \: 2)^2 \: + \: (4 \: + \: 5)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{(-5)^2 \: + \: (9)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{25 \: + \: 81} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{106} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \: 10.3 [/tex]
The distance between a point at (-3,4) and a point at (2,-5) is 10.3 . [Answer]
