Question

find the distance between each point and round to the nearest tenth if necessary.
1.
2.

Explanation:

Step1: Identify the points

The two points are $(2,1)$ and $(5,5)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 2,y_1 = 1,x_2=5,y_2 = 5$. So $d=\sqrt{(5 - 2)^2+(5 - 1)^2}=\sqrt{3^2+4^2}$.

Step3: Calculate the squares

$3^2=9$ and $4^2 = 16$, so $d=\sqrt{9 + 16}=\sqrt{25}$.

Step4: Find the square - root

$\sqrt{25}=5$.

Answer:

$5$