Question

question
find the distance between the two points rounding to the nearest tenth (if necessary).
(0, -9) and (-4, -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, $x_1 = 0,y_1=-9,x_2=-4,y_2 = - 3$.

Step2: Substitute values

$d=\sqrt{(-4 - 0)^2+(-3-(-9))^2}=\sqrt{(-4)^2+(6)^2}$.

Step3: Calculate squares

$(-4)^2=16$ and $(6)^2 = 36$, so $d=\sqrt{16 + 36}=\sqrt{52}$.

Step4: Simplify square - root and round

$\sqrt{52}\approx7.2$.

Answer:

$7.2$