Question

enter the coordinates of the two given points and then calculate the distance between them. coordinates $(x_1,y_1)$ of point w: (?,?) coordinates $(x_2,y_2)$ of point b: (?,?) $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ $d = \sqrt{(\square)^2+(\square)^2}$ $d = \square$ the length of segment wb is $\square$ feet

Explanation:

Step1: Identify coordinates

From the graph, point W has coordinates $(- 12.5,8)$ and point B has coordinates $(7.5,-10)$. So $(x_1,y_1)=(-12.5,8)$ and $(x_2,y_2)=(7.5,-10)$.

Step2: Substitute into distance - formula

The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1=-12.5,y_1 = 8,x_2=7.5,y_2=-10$ into it:
$d=\sqrt{(7.5-(-12.5))^2+((-10 - 8))^2}=\sqrt{(7.5 + 12.5)^2+(-18)^2}=\sqrt{(20)^2+(-18)^2}$.

Step3: Calculate the squares

$(20)^2=400$ and $(-18)^2 = 324$. Then $d=\sqrt{400 + 324}=\sqrt{724}$.

Step4: Simplify the square - root

$\sqrt{724}=\sqrt{4\times181}=2\sqrt{181}\approx2\times13.45=26.9$.

Answer:

$26.9$