Question

find the distance between the two points rounding to the nearest tenth (if necessary). (8,9) and (-1,-3)

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 8,y_1=9,x_2=-1,y_2 = - 3$.

Step2: Substitute values

$d=\sqrt{(-1 - 8)^2+(-3 - 9)^2}=\sqrt{(-9)^2+(-12)^2}$.

Step3: Calculate squares

$(-9)^2=81$ and $(-12)^2 = 144$, so $d=\sqrt{81 + 144}=\sqrt{225}$.

Step4: Find square - root

$\sqrt{225}=15$.

Answer:

$15$