Question

find the distance between the points (-2, -7) and (10, -7). round decimals to the nearest tenth. units

Explanation:

Step1: Identify the distance formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the distance $d$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-2,y_1 = - 7,x_2=10,y_2=-7$.

Step2: Substitute the values

Substitute the values into the formula: $d=\sqrt{(10-(-2))^2+(-7 - (-7))^2}=\sqrt{(10 + 2)^2+( - 7+7)^2}=\sqrt{12^2+0^2}$.

Step3: Calculate the result

$\sqrt{12^2+0^2}=\sqrt{144}=12$.

Answer:

12