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:
Vertex: (-2, 2)
Step-by-step explanation:
The x-coordinate of the vertex would be as follows;
x = -b/2a = 8/2(-2) = -8/4 = -2
respectively the y-coordinate of the vertex would be y(-2) = -2(-2)^2 - 8(-2) - 6 = -2(4) + 16 - 6 = - 8 + 10 = 2
Your vertex would be a maximum of (-2, 2)
* I say maximum as the coefficient of x^2 is -2, and it is less than zero so the parabola opens downward
There are 6 different sides you can land on with a dice. So the probability of rolling any one side is 1/6. The probability of NOT rolling a 5 is the same thing as rolling anything except a 5. So that probability will be 5/6.
18 meters = 1800 centimeters
1 meter = 100 centimeters, so do: 18 × 100 = 1800.
Answer:
y ≤ -1/3x +1
Step-by-step explanation:
We have a solid line so the inequality has an equals sign.
The graph is shaded underneath so y is less than or equal to
y ≤ -1/3x +1