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Nimfa-mama [501]
3 years ago
15

What are the focus and directrix of the parabola with the equation y=1/12 x^2

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
<h2>Answer:</h2>

\boxed{y=-3}

<h2>Step-by-step explanation:</h2>

The graph of this parabola is shown below. From this graph we know that:

VERTEX:

(h,k)=(0,0)

DIRECTIX:

Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:

x^2=4py

So:

y=\frac{1}{12}x^2 \\ \\ \therefore 12y=x^2 \ or \ x^2=12y \\ \\ \\ Then: \\ \\ 4p=12 \therefore p=3

Then the directrix is:

y=k-p \\ \\ \therefore y=0-3 \therefore \boxed{y=-3}

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2 years ago
For each scenario below, choose the graph that gives the best representation.
kvv77 [185]

The graph that gives the best representation of the scenario is: option 1 (A).

<h3>Graph of Distance vs Time</h3>
  • A typical graph of distance vs time shows the distance covered as against time.
  • If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.

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8 0
2 years ago
A shop sells newspapers for a profit of 0.5%. His sales for the month of January were $8341.50. How much of this is profit?
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Amount of sales  of newspapers for the month of January = $8341.50
Percentage of profit for which the newspaper is sold = 0.5%
Then
Amount of profit made in the month of January = 0.5% * 8341.50 dollars
                                                                           = (0.5/100) * 8341.50 dollars
                                                                           = 4170.75/100 dollars
                                                                           = 41.707 dollars
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So the shop makes a profit of $41.71 in the month of January by selling newspapers worth $8341.50. I hope the procedure is perfectly clear for you to understand.
8 0
3 years ago
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