Solve for x if -15+1x=5+6x
1 answer:
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Answer:
0.4kg, 1.4kg and 1.8kg
Step-by-step explanation:
Given parameters:
Mass of alloy = 3.6kg
Ratio of elements in the alloy = 2:7:9
Unknown:
Mass of each element in the alloy = ?
Solution:
To find the mass of each element in the alloy, first find the sum of the ratio;
2+7+9 = 18
Mass of nickel = x 3.6 = 0.4kg
Mass of zinc = x 3.6 = 1.4kg
Mass of copper = x 3.6 = 1.8kg
The mass of each metal is 0.4kg, 1.4kg and 1.8kg
Refer to the diagram shown.
At an arbitrary point P (x,y) on the parabola, the distance from the focus should be equal to the distance from the directrix.
The distance of P from the focus is
d₁ = √[x² + (y+3)²]
The distance from P to the directrix is
d₂ = 3 - y
Therefore
d₁ = d₂.
That is,
x² + (y+3)² = (3 - y)²
x² + y² + 6y + 9 = 9 - 6y + y²
x² + 12y = 0
y = - (1/12) x²
Answer:
At an arbitrary point P (x,y) on the parabola, the distance from the focus should be equal to the distance from the directrix.
The distance of P from the focus is
d₁ = √[x² + (y+3)²]
The distance from P to the directrix is
d₂ = 3 - y
Therefore
d₁ = d₂.
That is,
x² + (y+3)² = (3 - y)²
x² + y² + 6y + 9 = 9 - 6y + y²
x² + 12y = 0
y = - (1/12) x²
Answer: