Question

use the graph to determine the length of segment zd. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point z: coordinates (x2, y2) of point d: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the length of segment zd is centimeters

Explanation:

Step1: Identify coordinates

From the graph, assume point Z has coordinates $(7,13)$ and point D has coordinates $(- 7,13)$.

Step2: Substitute into distance formula

The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 7,y_1 = 13,x_2=-7,y_2 = 13$. So $d=\sqrt{(-7 - 7)^2+(13 - 13)^2}=\sqrt{(-14)^2+0^2}$.

Step3: Calculate the value

$d=\sqrt{196+0}=\sqrt{196}=14$.

Answer:

14