Subjects geometry

Midpoint Coordinates A75Ada

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1. The problem asks for the coordinates of the midpoint of the line segment OE, where O is at (0,0) and E is at (14,22). 2. The formula for the midpoint $M$ of a segment with endpoints $A(x_1,y_1)$ and $B(x_2,y_2)$ is: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. Here, $O = (0,0)$ and $E = (14,22)$, so: $$M = \left( \frac{0 + 14}{2}, \frac{0 + 22}{2} \right)$$ 4. Simplify the coordinates: $$M = \left( \frac{14}{2}, \frac{22}{2} \right) = (7, 11)$$ 5. Therefore, the midpoint of OE is at coordinates $(7, 11)$.