Question

find the length of the segment connecting (0, 1) and (-3, 2). provide an answer accurate to the nearest tenth.

Explanation:

Step1: Identify the 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: Assign the values of the points

Let $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(-3,2)$. Then $x_2 - x_1=-3 - 0=-3$ and $y_2 - y_1=2 - 1 = 1$.

Step3: Substitute into the formula

$d=\sqrt{(-3)^2+1^2}=\sqrt{9 + 1}=\sqrt{10}$.

Step4: Round to the nearest tenth

$\sqrt{10}\approx3.2$.

Answer:

$3.2$