Question

find the distance between the points (-8, -8) and (4, 4). round decimals to the nearest tenth.

Explanation:

Step1: Identify 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, $x_1=-8,y_1 = - 8,x_2 = 4,y_2 = 4$.

Step2: Calculate differences

$x_2 - x_1=4-(-8)=12$ and $y_2 - y_1=4 - (-8)=12$.

Step3: Square the differences and sum

$(x_2 - x_1)^2+(y_2 - y_1)^2=12^2+12^2=144 + 144=288$.

Step4: Calculate the square - root

$d=\sqrt{288}\approx16.97$.

Step5: Round to the nearest tenth

Rounding $16.97$ to the nearest tenth gives $17.0$.

Answer:

$17.0$