really need help asap


A pair of fire towers uses technology to search for forest fires. Let the center of the forest be the origin on a coordinate grid. The first fire tower is located 5 km east and 8 km south of the center, and the second fire tower is located 7 km west and 4 km north of the center. The technology at the first tower can locate fires within a radius of 10 km and the second tower within a radius of 9 km. The system of inequalities represents this scenario.


StartLayout Enlarged left-brace first row (x minus 5) squared + (y + 8) squared less-than-or-equal-to 100 second row (x + 7) squared + (y minus 4) squared less-than-or-equal-to 81 EndLayout


At which location, from the origin, would a fire be detected by both towers?


2 km east and 3 km south

3 km east and 2 km north

2 km west and 1 km north

1 km west and 2 km south