The parabola is y² = 6x
This defines a parabola with its vertex at the origin (0,0).
When the equation is compared with y² = 4ax, then
4a = 6
a = 3/2
Therefore the focus is at
(a, 0) = (3/2, 0)
The directrix is located at
(-a, 0) = (-3/2, 0)
The parabola opens right because a > 0.
Answer:
The directrix is x = - 3/2.
The parabola opens right.
12x²y-32xy+8y=
4·3x²y-4·8xy+4·2y=
4y(3x²-8x+2)
Answer:

Step-by-step explanation:

First, divide by 4 from both sides.

Solve.

Therefore, the solutions of 4x>8 is 2.
In conclusion, the correct answer is x=2.
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6x+8(-5)=22
6x -40 =22
6x= 22 +40
6x= 62
X= 62/6
X= 10.3
Answer:
Infinite solutions
Step-by-step explanation:
In this question, you have to solve the systems of equations.
This means that we have to find the value of x and y.
Solve:
Let solve for x in one of the equations first:
6x - 8y = 10
Add 8y to both sides.
6x = 8y + 10
Divide both sides by 6.
x = 8/6y + 10/6
Simplify.
x = 4/3y + 5/3
Now, plug in the new equation to "x" in our second equation:
3(4/3y + 5/3) -4y = 5
Solve:
3(4/3y + 5/3) - 4y = 5
Distribute the 3, which cancels the denominators.
4y + 5 - 4y = 5
Combine like terms.
5 = 5
Since they equal the same thing, there are infinite solutions.