Question

after school, carl and santo walk home. carl walks 10 blocks east and 9 blocks south. santo walks 9 blocks east and 2 blocks south. on the graph, the school is located at the origin. determine the distance between carls house (point c) and santos house (point s). enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point c: coordinates (x2, y2) of point s: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the distance between carls house and santos house is blocks

Explanation:

Answer:

Coordinates \((x_1,y_1)\) of point C: \((10, - 9)\)
Coordinates \((x_2,y_2)\) of point S: \((9,-2)\)
\(d=\sqrt{(9 - 10)^2+(-2+9)^2}\)
\(d=\sqrt{(-1)^2+(7)^2}\)
\(d=\sqrt{1 + 49}=\sqrt{50}=5\sqrt{2}\approx7.07\)
The distance between Carl's house and Santo's house is \(5\sqrt{2}\approx7.07\) blocks