Question

find the length of $overline{ab}$ to the nearest hundredth. length of $overline{ab}=$

Explanation:

Step1: Identify coordinates

Assume $A(-5,-4)$ and $B(-3,3)$.

Step2: Apply 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, $x_1=-5,y_1 = - 4,x_2=-3,y_2 = 3$. So $d=\sqrt{(-3-(-5))^2+(3 - (-4))^2}=\sqrt{(2)^2+(7)^2}$.

Step3: Calculate value

$d=\sqrt{4 + 49}=\sqrt{53}\approx7.28$.

Answer:

$7.28$