Question

What is the distance from (−3, 1) to (−1, 5)? Round your answer to the nearest hundredth

Answer 1

Answer:

4.46

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have (-3, 1) and (-1, 5). Substitute:

$d=\sqrt{(-1-(-3))^2+(5-1)^2}=\sqrt{2^2+4^2}=\sqrt{4+16}=\sqrt{20}\\\\=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\approx2\cdot2.23=4.46$