Mathematics, 08.05.2021 04:20 daeshawnc14
If C is the line segment connecting the point (x1, y1) to the point (x2, y2), find the following. x dy β y dx C (b) If the vertices of a polygon, in counterclockwise order, are (x1, y1), (x2, y2), , (xn, yn), find the area of the polygon.
A = 1 2 (x2y1 β x1y2) + (x3y2 β x2y3) + + (xnynβ1 β xnβ1yn) + (x1yn β xny1) A = 1 2 (x1y2 β x2y1) + (x2y3 β x3y2) + + (xn β 1yn β xnyn β 1) + (xny1 β x1yn) A = 1 2 (x1y2 + x2y1) + (x2y3 + x3y2) + + (xn β 1yn + xnyn β 1) + (xny1 + x1yn) A = 1 2 (x1y2 β x2y1) β (x2y3 β x3y2) β β (xn β 1yn β xnyn β 1) + (xny1 β x1yn) A = (x1y2 β x2y1) + (x2y3 β x3y2) + + (xn β 1yn β xnyn β 1) + (xny1 β x1yn)
(c) Find the area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (β2, 1).
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If C is the line segment connecting the point (x1, y1) to the point (x2, y2), find the following. x...
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