Question

use the graph to determine the length of segment wb. 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 b: (?,?) d = √((x₂ - x₁)²+(y₂ - y₁)²) d = √(( )²+( )²) d = the length of segment wb is feet

Explanation:

Step1: Identify coordinates

From the graph, point W has coordinates (- 11,8) and point B has coordinates (7,-11). So $(x_1,y_1)=(-11,8)$ and $(x_2,y_2)=(7,-11)$.

Step2: Substitute into distance formula

Substitute $x_1=-11,y_1 = 8,x_2=7,y_2=-11$ into $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. We get $d=\sqrt{(7-(-11))^2+((-11)-8)^2}=\sqrt{(7 + 11)^2+(-19)^2}=\sqrt{(18)^2+(-19)^2}$.

Step3: Calculate squares and sum

$(18)^2=324$ and $(-19)^2 = 361$. Then $(18)^2+(-19)^2=324 + 361=685$. So $d=\sqrt{685}\approx26.17$.

Answer:

The length of segment WB is approximately $26.17$ feet.