Subjects geometry

Adela Walking Distance F1620B

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1. **State the problem:** We need to find the total distance Adela walks from her home to the restaurant and then from the restaurant to the concert. 2. **Identify coordinates:** - Home: $(-2, 1)$ - Restaurant: $(-2, -1)$ - Concert: $(0, -1)$ 3. **Formula used:** The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 4. **Calculate distance from Home to Restaurant:** $$d_1 = \sqrt{(-2 - (-2))^2 + (-1 - 1)^2} = \sqrt{0^2 + (-2)^2} = \sqrt{4} = 2$$ blocks 5. **Calculate distance from Restaurant to Concert:** $$d_2 = \sqrt{(0 - (-2))^2 + (-1 - (-1))^2} = \sqrt{2^2 + 0^2} = \sqrt{4} = 2$$ blocks 6. **Total distance walked:** $$d_{total} = d_1 + d_2 = 2 + 2 = 4$$ blocks **Answer:** Adela walks a total of 4 blocks.