Question

the coordinates of point w are (-8, 13). the coordinates of point c are (-9, 11). determine the length of segment wc. 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 c: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d =

Explanation:

Step1: Identify point - W coordinates

Let $(x_1,y_1)=(-8,13)$

Step2: Identify point - C coordinates

Let $(x_2,y_2)=(-9,11)$

Step3: Substitute into distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(-9-(-8))^2+(11 - 13)^2}$
$=\sqrt{(-9 + 8)^2+(11 - 13)^2}=\sqrt{(-1)^2+(-2)^2}$

Step4: Calculate the squares and sum

$=\sqrt{1 + 4}=\sqrt{5}$

Answer:

$\sqrt{5}$