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katrin2010 [14]
2 years ago
9

Which line is a directrix of the hyperbola? A B C D

Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.

The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.

Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.

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A statistical test is conducted to see if there is evidence that the proportion of US citizens who can name the capital city of
Delvig [45]

Answer:

a) Sample A

b) Sample D

Step-by-step explanation:

The sample that will provide the most significance evidence for the claim is the one that has the bigger proportion of US citizens who can name the capital city of Canada.

The sample that has the bigger proportion is Sample A, with p=38/40=0.95.

The samples that have a proportion of 0.75 of less surely will give no evidence for the claim.

The sample D has a proportion of p=27/40=0.675, which is less than 0.75, so it doesn't provide evidence for the claim.

Sample C has a proportion of 0.775. Is very close to 0.75, but its value as evidence depends on the level of significance of the test.

4 0
3 years ago
What are the solutions to the system of equations? y=x2−7x+12y=−x+7
kap26 [50]

Answer:

x = 1, y = 6

or

x = 5, y = 2.

Step-by-step explanation:

y=x2−7x+12

y=−x+7

Substitute for y in the first equation:

- x + 7 = x^2 - 7x + 12

x^2 - 7x + x + 12 - 7 = 0

x^2 - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1, 5.

When x = 1, y = -1 + 7 = 6.

when x = 5, y = -5+7 = 2.

3 0
2 years ago
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Mamont248 [21]

Answer:

The Answer is 1 X-intercept, it intercepts at (24,0)

Step-by-step explanation:

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3 years ago
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Answer:

2058

Step-by-step explanation:

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