Question

find the length of ab. 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 $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For points $A(-4,1)$ and $B(-1,3)$, $x_1=-4,y_1 = 1,x_2=-1,y_2 = 3$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-1-(-4))^2+(3 - 1)^2}=\sqrt{(3)^2+(2)^2}=\sqrt{9 + 4}=\sqrt{13}$.

Step3: Calculate and round

$\sqrt{13}\approx3.6$ (rounded to the nearest tenth).

Answer:

A. 3.6