Question

the coordinates of point r are (12, -2). the coordinates of point b are (5, -8). determine the length of segment rb. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point r: (12, -2) coordinates (x2, y2) of point b: (5, -8) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{(-7)^2+(-6)^2} i d = the length of segment rb is feet

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(12, - 2)$ and $(x_2,y_2)=(5,-8)$.

Step2: Calculate differences

$x_2 - x_1=5 - 12=-7$ and $y_2 - y_1=-8-( - 2)=-8 + 2=-6$.

Step3: Apply distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(-7)^2+(-6)^2}=\sqrt{49 + 36}=\sqrt{85}$.

Answer:

$\sqrt{85}$