Question

current skill $ what is the distance between (6, 0) and (0, - 3)? provide an answer accurate to the nearest tenth.

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, $(x_1,y_1)=(6,0)$ and $(x_2,y_2)=(0, - 3)$.

Step2: Substitute values

Substitute $x_1 = 6,y_1 = 0,x_2 = 0,y_2=-3$ into the formula: $d=\sqrt{(0 - 6)^2+(-3 - 0)^2}=\sqrt{(-6)^2+(-3)^2}=\sqrt{36 + 9}=\sqrt{45}$.

Step3: Simplify and round

$\sqrt{45}\approx6.7$.

Answer:

$6.7$