Question

$$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ $$x_1 = -5$$ $$x_2 = 0$$ $$(x_2 - x_1)^2 = 25$$ $$y_1 = -1$$ $$y_2 = -2$$ $$(y_2 - y_1)^2 = 1$$ $$(x_2 - x_1)^2 + (y_2 - y_1)^2 = 26$$ $$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} =$$ type your answer..

Explanation:

Step1: Substitute the values

We are given \((x_2 - x_1)^2+(y_2 - y_1)^2 = 26\).

Step2: Calculate the square - root

We need to find \(\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Since \((x_2 - x_1)^2+(y_2 - y_1)^2 = 26\), then \(\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{26}\).

Answer:

\(\sqrt{26}\)