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

$D=\sqrt{(c-a)^2+(d-b)^2}.$

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

$D\\\\=\sqrt{(4-(-2))^2+(-6-4)^2}\\\\=\sqrt{6^2+10^2}\\\\=\sqrt{36+100}\\\\=\sqrt{136}\\\\=\sqrt{4\times34}\\\\=2\sqrt{34}.$

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

Option (C) is CORRECT.