Question

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

Explanation:

Step1: Identify coordinates

From the graph, point E has coordinates $( - 3,-1)$ and point D has coordinates $(-11,-11)$. So $x_1=-3,y_1 = - 1,x_2=-11,y_2=-11$.

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: $d=\sqrt{(-11-(-3))^2+(-11 - (-1))^2}=\sqrt{(-11 + 3)^2+(-11 + 1)^2}=\sqrt{(-8)^2+(-10)^2}=\sqrt{64 + 100}=\sqrt{164}=2\sqrt{41}\approx 12.8$.

Answer:

$d=\sqrt{(-11-(-3))^2+(-11 - (-1))^2}$; $d=\sqrt{(-8)^2+(-10)^2}$; The length of segment ED is approximately $12.8$ centimeters.