Question

the coordinates of point w are (-8, 13). the coordinates of point c are (-8, 1). determine the length of segment wc.
enter the coordinates of the two given points and then calculate the distance between them.
coordinates (x1, y1) of point w
(, )
coordinates (x2, y2) of point c
(, )
d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}
d = \sqrt{( )^2+( )^2}
d =
the length of segment wc is

Explanation:

Step1: Identify coordinates

Let point W have coordinates $(x_1,y_1)=(- 8,13)$ and point C have coordinates $(x_2,y_2)=(8,13)$.

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 $x_1=-8,x_2 = 8,y_1 = 13,y_2 = 13$ into the formula:
\[

$$\begin{align*} d&=\sqrt{(8-(-8))^2+(13 - 13)^2}\\ &=\sqrt{(8 + 8)^2+0^2}\\ &=\sqrt{16^2+0}\\ &=\sqrt{256}\\ &=16 \end{align*}$$

\]

Answer:

16