Question

determine the length of \\( \overline { a c } \\)
(1 point)
\\( \bigcirc 3.61 \\)
\\( \bigcirc 7.81 \\)
\\( \bigcirc 5.32 \\)
\\( \bigcirc 5 \\)

Explanation:

Step1: Find coordinates of points

From the graph, \(A(-3,3)\) and \(C(1,6)\).

Step2: Use distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Here \(x_1=-3,y_1 = 3,x_2=1,y_2=6\).
Substitute into formula: \(d=\sqrt{(1-(-3))^2+(6 - 3)^2}=\sqrt{(4)^2+(3)^2}\).

Step3: Calculate the value

\(\sqrt{16 + 9}=\sqrt{25}=5\).

Answer:

\(5\)