Question

What is the the distance between a point at (-3,4) and a point at (2,-5)

Answer 1

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

$\bf P \: = \sqrt{(-3 \: - \: 2)^2 \: + \: (4 \: + \: 5)^2}$

$\implies$ $\bf P \: = \sqrt{(-5)^2 \: + \: (9)^2}$

$\implies$ $\bf P \: = \sqrt{25 \: + \: 81}$

$\implies$ $\bf P \: = \sqrt{106}$

$\implies$ $\bf P \: = \: 10.3$

The distance between a point at (-3,4) and a point at (2,-5) is 10.3 . [Answer]