Question

after school, ethan and latanya walk home. ethan walks 11 blocks east and 9 blocks north. latanya walks 4 blocks west and 8 blocks north. on the graph, the school is located at the origin. determine the distance between ethans house (point e) and latanyas house (point l). enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1,y1) of point e: (?,?) coordinates (x2,y2) of point l: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the distance between ethans house and latanyas house is blocks

Explanation:

Answer:

Coordinates \((x_1,y_1)\) of point E: \((11,9)\)
Coordinates \((x_2,y_2)\) of point L: \((- 4,8)\)
\(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(-4 - 11)^2+(8 - 9)^2}=\sqrt{(-15)^2+(-1)^2}=\sqrt{225 + 1}=\sqrt{226}\approx15.03\)
The distance between Ethan's house and LaToya's house is \(\sqrt{226}\) blocks