Question

the coordinates of point w are (-8, 13). the coordinates of point c are (5, 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 coordinates

Let $(x_1,y_1)=(- 8,13)$ and $(x_2,y_2)=(5,11)$.

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: $x_2 - x_1=5-(-8)=5 + 8=13$ and $y_2 - y_1=11 - 13=-2$. Then $d=\sqrt{(13)^2+(-2)^2}=\sqrt{169 + 4}=\sqrt{173}$.

Answer:

$\sqrt{173}$