Question

Find the distance between the points (-2, 4) and (4, -6).

2√2
2√(10)
2√(34)

Answer 1

I hope this helps you!

Answer 2

Answer: The correct option is (C) 2√34.

Step-by-step explanation: We are given to find the distance between the points (-2, 4) and (4, -6).

We have the distance formula as follows :

DISTANCE FORMULA :

The distance between the points (a, b) and (c, d) is given as

`D=√((c-a)^2+(d-b)^2).`

Therefore, the distance between the points (-2, 4) and (4, -6) is given by

`D\\\\=√((4-(-2))^2+(-6-4)^2)\\\\=√(6^2+10^2)\\\\=√(36+100)\\\\=√(136)\\\\=√(4*34)\\\\=2√(34).`

Thus, the required distance between the given points is 2√34 units.

Option (C) is CORRECT.