Question

after school, rey and sonora walk home. rey walks 3 blocks east and 7 blocks south. sonora walks 12 blocks east and 12 blocks south. on the graph, the school is located at the origin. determine the distance between reys house (point r) and sonoras house (point s). enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point r: (3, -7) coordinates (x2, y2) of point s: (12, -12) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{(9)^2+(-5)^2} d = the distance between reys house and sonoras house is blocks

Explanation:

Step1: Identify values for formula

$x_1 = 3$, $y_1=-7$, $x_2 = 12$, $y_2=-12$

Step2: Calculate differences

$x_2 - x_1=12 - 3=9$, $y_2 - y_1=-12-(-7)=-5$

Step3: Apply distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{9^2+(-5)^2}=\sqrt{81 + 25}=\sqrt{106}$

Answer:

$\sqrt{106}$