Question

find the length of ad. round to the nearest tenth. (use distance formula). a(-4,1) b(-1,3) c(3,1) d(0,-1) a. 3.6 b. 4.5 c. 5.4 d. 2.8

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, for points $A(-4,1)$ and $D(0,-1)$, $x_1=-4,y_1 = 1,x_2=0,y_2=-1$.

Step2: Substitute values into formula

$d=\sqrt{(0 - (-4))^2+((-1)-1)^2}=\sqrt{(4)^2+(-2)^2}=\sqrt{16 + 4}=\sqrt{20}$.

Step3: Simplify and round

$\sqrt{20}\approx4.5$ (rounded to the nearest tenth).

Answer:

b. 4.5