Question

what is the length of $overline{ab}$? round your answer to the nearest hundredth.

Explanation:

Step1: Identify coordinates

Assume \(A(-5,-4)\) and \(B(-3,3)\) from the graph.

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:

\(7.28\)