If the point (-1/2, y) lies on the line whose equation is 2x - 3y = 6, what is the value of y?
1 answer:
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(We know this from a=1/9 and r=3)
Simplifying this, we get:
Since we're finding the first term that exceeds 1000, let's set it equal to 1000.
Multiplying both sides by 27
n≈9.2
We have to round n up, since if n=9, the value would be <1000.
Therefore n=10. Substituting n=10,
=2187
Therefore the first term that exceeds 1000 is 2187, and it is the 10th term
9514 1404 393
Answer:
focus: (0, -5.5)
directrix: y = 5.5
Step-by-step explanation:
The equation compares to the form ...
x² = 4py
where 4p = -22 ⇒ p = -22/4 = -5.5.
The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).
The directrix is above the vertex by the same amount, so is y = 5.5.
