2 years ago

Is (3,11) a solution to the equation y= 5x-4

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

3 0

Yes, because 11=5 times 3 - 4

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

Nataly [62]

<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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Step-by-step explanation:

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3 years ago

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denis23 [38]

Negative 5
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C is answer

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2 years ago

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