Question

1. find ef given e(-7, -2) and f(11, 3)

Explanation:

Step1: Recall 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, $x_1=-7,y_1 = - 2,x_2=11,y_2 = 3$.

Step2: Substitute values

$EF=\sqrt{(11-(-7))^2+(3 - (-2))^2}=\sqrt{(11 + 7)^2+(3 + 2)^2}=\sqrt{(18)^2+(5)^2}$.

Step3: Calculate squares and sum

$\sqrt{18^2+5^2}=\sqrt{324 + 25}=\sqrt{349}$.

Answer:

$\sqrt{349}$