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Mathematics, 29.03.2021 19:20 bryn2433
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
(x-20)² + (y-14)² ≤ 625
(x+8)² + (y-3)² ≤ 196
Which location relative to Columbia felt both earthquakes?
ο 4 km west and 12 km south
ο 6 km west and 4 km north
ο 2 km east and 10 km north
ο 6 km east and 8 km north
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