Subjects algebra

Distance Finding 912431

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1. The problem is to find the distance between two points or objects. 2. The most common formula to find distance when you know speed and time is: $$\text{Distance} = \text{Speed} \times \text{Time}$$ 3. Important rule: Speed must be constant and time must be in the same units as speed's time unit. 4. If you have coordinates of two points $(x_1, y_1)$ and $(x_2, y_2)$, use the distance formula: $$\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 5. This formula comes from the Pythagorean theorem, treating the difference in x and y as legs of a right triangle. 6. Example: Find distance between points (3,4) and (7,1): $$\sqrt{(7-3)^2 + (1-4)^2} = \sqrt{4^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5$$ 7. So, the distance is 5 units. 8. Always check units and context to choose the right formula for distance.