Question

find the distance between the points (-10, 9) and (-10, -9). round decimals to the nearest tenth. units

Explanation:

Step1: Recall distance formula

For two - dimensional 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, $x_1=-10,y_1 = 9,x_2=-10,y_2=-9$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-10-(-10))^2+(-9 - 9)^2}=\sqrt{(0)^2+(-18)^2}$.

Step3: Simplify

Since $(0)^2 = 0$ and $(-18)^2=324$, then $d=\sqrt{0 + 324}=\sqrt{324}=18$.

Answer:

18