Question

find the length of ab to the nearest hundredth. length of ab =

Explanation:

Step1: Identify coordinates

Let \(A=( - 5,-4)\) and \(B=( - 2,3)\) 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 \(x_1=-5,y_1 = - 4,x_2=-2,y_2 = 3\). So \(d=\sqrt{(-2-(-5))^2+(3 - (-4))^2}=\sqrt{(3)^2+(7)^2}\).

Step3: Calculate value

\(d=\sqrt{9 + 49}=\sqrt{58}\approx7.62\).

Answer:

\(7.62\)