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Bot GPT-4o To find the distance from Frostburg Mall to Sojourner Truth Park, we can model their positions using a coordinate system with the City Center at the origin \((0, 0)\).
**Step-by-Step Solution:**
- Frostburg Mall is located 3 miles west and 2 miles south of the City Center. In coordinate form, this is \((-3, -2)\).
- Sojourner Truth Park is located 4 miles east and 5 miles north of the City Center. In coordinate form, this is \((4, 5)\).
To find the distance between these two points, we can use the distance formula:
\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]
Substitute the coordinates of Frostburg Mall \((-3, -2)\) and Sojourner Truth Park \((4, 5)\) into the formula:
\[d = \sqrt{(4 - (-3))^2 + (5 - (-2))^2}\]
\[d = \sqrt{(4 + 3)^2 + (5 + 2)^2}\]
\[d = \sqrt{(7)^2 + (7)^2}\]
\[d = \sqrt{49 + 49}\]
\[d = \sqrt{98}\]
Now, we find the square root of 98:
\[\sqrt{98} \approx 9.8995\]
So, to the nearest tenth of a mile, the distance is approximately:
\[9.9 \text{ miles}\]
Therefore, the correct answer is:
\[9.9 \text{ miles}\]