Question

1. find the length of ab, given a(3, 10) and b(-2, 8). round 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, $x_1 = 3,y_1 = 10,x_2=-2,y_2 = 8$.

Step2: Substitute values

$d=\sqrt{(-2 - 3)^2+(8 - 10)^2}=\sqrt{(-5)^2+(-2)^2}=\sqrt{25 + 4}=\sqrt{29}$.

Step3: Calculate and round

$\sqrt{29}\approx5.4$.

Answer:

$5.4$