What is the distance between (8, -3), (4,-7)? A.- 6 B. 9 C.√(35) D.√(42) Thank You!

Question

What is the distance between (8, -3), (4,-7)?

A.- 6
B. 9
C.
`√(35)`
D.
`√(42)`

Thank You!

Answer 1

`4√(2)` which is none of your choices....

Did you mean (8,-3) and (4,-7)?

Explanation:

We need to first find the distance between the x's.

Then the distance between the y's.

The distance between the x's is 8-4=4.

The distance between the y's is -3-(-7)=4.

So the distance between two points
`(x_1,y1)\text{ and }(x_2,y_2)` is
`√((x_1-x_2)^2+(y_1-y_2)^2)`.

So we already found x1-x2 and y1-y2 so now we have:

`√((4)^2+(4)^2)`

`√(16+16)`

`\sqrt{2(16)`

`√(16)√(2)`

`4√(2)`