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krok68 [10]
3 years ago
12

Based on the the equations of the parabolas, identify each parabola whose focus and vertex lie in different quadrants.

Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

The equations of the parabolas whose focus and vertex lie in different quadrants will be:

  • x = -y²/16 - y/4 + 11/4 and
  • y = -x²/24 - 5x/12 + 95/24.

<h3>How to analyze the equations?</h3>

In the third equation, x = -y²/16 - y/4 + 11/4. The value of a = -1/16, b = -1/4, c = 11/4, and k = 3.

Also, in the sixth equation, y = -x²/24 - 5x/12 + 95/24. The value of a = -1/24, b = -5/12, c = 95/24, h = -5.

Therefore, the equations will be the third and sixth equations.

Learn more about parabola on:

brainly.com/question/16166647

#SPJ4

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8% of a number is 20
Gnoma [55]
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer: z = 7

Step-by-step explanation:

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z = 7

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