Question

b (-7, 11)
e (5, 6)
z (-4, 0)

Explanation:

Step1: Identify the coordinates

Let \(B(-7,11)\) be \((x_1,y_1)\) and \(Z(-4,0)\) be \((x_2,y_2)\).

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

\(d=\sqrt{(-4-(-7))^2+(0 - 11)^2}\)
\(=\sqrt{(3)^2+(-11)^2}\)
\(=\sqrt{9 + 121}\)
\(=\sqrt{130}\approx11.4\)

Answer:

\(d=\sqrt{(-4-(-7))^2+(0 - 11)^2}\), \(d\approx11.4\)