Question

problem 1/3
find the length of the segment zv.

Explanation:

Step1: Identify coordinates

Let the coordinates of point $Z$ be $(x_1,y_1)=(-16,7)$ and of point $V$ be $(x_2,y_2)=(-2,-1)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute the values:
\[

$$\begin{align*} d&=\sqrt{(-2-(-16))^2+(-1 - 7)^2}\\ &=\sqrt{( - 2 + 16)^2+(-8)^2}\\ &=\sqrt{(14)^2+64}\\ &=\sqrt{196 + 64}\\ &=\sqrt{260}\\ &=2\sqrt{65}\approx 16.12 \end{align*}$$

\]

Answer:

$2\sqrt{65}\approx 16.12$