Question

find the distance between the points (9, 1) and (3, 6). round decimals to the nearest tenth. units

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 $(x_1,y_1)=(9,1)$ and $(x_2,y_2)=(3,6)$. Then $x_1 = 9$, $y_1=1$, $x_2 = 3$, $y_2 = 6$.

Step3: Substitute values into the formula

$d=\sqrt{(3 - 9)^2+(6 - 1)^2}=\sqrt{(-6)^2+5^2}=\sqrt{36 + 25}=\sqrt{61}$.

Step4: Calculate and round

$\sqrt{61}\approx 7.8$ (rounded to the nearest tenth).

Answer:

$7.8$