Question

q. 11. find ef given e(-7, -2) and f(11, 3). round to the nearest hundredth if necessary.
ef =
clear all

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, $E(-7,-2)$ so $x_1=-7,y_1 = - 2$ and $F(11,3)$ so $x_2 = 11,y_2=3$.

Step2: Substitute values

Substitute the values into the formula:
\[

$$\begin{align*} EF&=\sqrt{(11-(-7))^2+(3 - (-2))^2}\\ &=\sqrt{(11 + 7)^2+(3+2)^2}\\ &=\sqrt{(18)^2+(5)^2}\\ &=\sqrt{324 + 25}\\ &=\sqrt{349} \end{align*}$$

\]

Step3: Calculate the value

$\sqrt{349}\approx18.68$.

Answer:

$18.68$