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. open parenthesis x minus 5 close parenthesis squared plus open parenthesis y plus 8 close parenthesis squared is less than or equal to 100; open parenthesis x plus 7 close parenthesis squared plus open parenthesis y minus 4 close parenthesis squared is less than or equal to 81 At which location, from the origin, would a fire be detected by both towers?