Find the volume of the figure
1 answer:
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Answer:
The coordinates of point P are (-1, -1)
Step-by-step explanation:
The coordinates of the partition point (x, y) of a line segment whose endpoints are (x1, y1) and (x2, y2) at ratio m: n are
- x =
- y =
∵ P partitions segment HS in a ratio 2: 3
∴ P = (x, y)
∴ m = 2 and n = 3
∵ H = (5, -9) and S = (-10, 11)
∴ x1 = 5 and x2 = -10
∴ y1 = -9 and y2 = 11
→ Substitute them in the rule above to find x and y
∵ x = =
=
∴ x = -1
∵ y = =
=
∴ y = -1
∴ The coordinates of point P are (-1, -1).