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: (8, 13) 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 14 centimeters

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(8,13)$ (co - ordinates of point Z) and $(x_2,y_2)=( - 6,13)$ (from the graph, point D has x - coordinate - 6 and y - coordinate 13).

Step2: Substitute into distance formula

The distance formula is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substituting the values: $d=\sqrt{(-6 - 8)^2+(13 - 13)^2}=\sqrt{(-14)^2+0^2}$.

Step3: Calculate the distance

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

Answer:

14