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1 answer:
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The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A = and B =
at a ratio from A then:
1.
2.
∵ P partitions AB in the ratio 3 : 4
∴ = 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵
∴
∴
∴ x = -3
The x-coordinate of P is -3
∵
∴
∴
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
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Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
BC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )
BC = = 15 → A