Question

Can anyone please help and explain?

Find the distance between the points (-3,2) and (-7,4)

Answer 1

To find the distance between the points :
\[A(x_A,y_A)~~\text{ and } B(x_A,y_A)\]
We have :
\[AB=\sqrt{(x_A-x_B)^2+(y_B-y_A)^2}\]

Can you use this to answer your question ?

Answer 2

Thank you very much @Noura11! Is the answer \[2\sqrt{10}\] correct?

Answer 3

No ! recalculate it ! ;)

Answer 4

@Noura11 Point B has the same subscripts as point A.

Answer 5

@skullpatrol It is a mistype only ;)

Answer 6

and the order in the AB formula is not right

Answer 7

The order is not important because :
\[(a-b)^2=(b-a)^2\quad\forall a,b\in{\mathbb R}\]

Answer 8

It is when you are trying to LEARN it for the first time.

Answer 9

Sorry I am confused :(

Answer 10

See^

Answer 11

@RH I will explain it to you :
\[\text{Let } A(-3,2) \text{ and } B(-7,4)\]
Then :
\[AB=\sqrt{(-7-(-3))^2+(4-2)^2}=\sqrt{(-4)^2+2^2}=\sqrt{16+4}=\sqrt{20}=\sqrt{4\times5}=2\sqrt5\]

Answer 12

\[AB=\sqrt{20}=\sqrt{4\times5}=2\sqrt5\]

Answer 13

@Noura11 Thank you so much!!!!!