Question

the distance between the points (-1, 4) and (2, 1) is: select an answer: $sqrt{10}$ $5sqrt{2}$ $sqrt{18}$ $sqrt{34}$

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify the values of coordinates

Here, $x_1=-1,y_1 = 4,x_2=2,y_2 = 1$.

Step3: Substitute values into formula

$d=\sqrt{(2-(-1))^2+(1 - 4)^2}=\sqrt{(2 + 1)^2+( - 3)^2}=\sqrt{3^2+( - 3)^2}=\sqrt{9 + 9}=\sqrt{18}$.

Answer:

$\sqrt{18}$