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2 years ago

PLEASE HELP ME WITH QUESTION 7 SHOW YOUR WORK

Mathematics

1 answer:

posledela2 years ago

3 0

Answer:

(-2, 1) and (6, 1)

Step-by-step explanation:

The standard form equations for a hyperbola are ...

$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2} = 1 \\\\\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2} = 1$

The first form opens horizontally; the second opens vertically. Further, the center-focus distance 'c' is given by ...

$c^2 = a^2 +b^2 \qquad\text{$c$ = distance from center to focus}$

The attached figure illustrates the relation between the various parameters and the features of the hyperbola.

Using the above information and the information in the first attachment, we find ...

(h, k) = (2, 1)

a = 4, b = 2

The vertices are (h±a, k), so are (2±4, 1) = (-2, 1) and (6, 1).

The second attachment illustrates the hyperbola and its vertices.

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Neko [114]

Step-by-step explanation:

you cannot just put the actual numbers in and calculate ?

and you can't provide the correct problem statement, as it seems.

I assume you mean

an = 3n² - 1

a sequence starts with a1, so, n>=1

a1 = 3×1² - 1 = 3-1 = 2

a2 = 3×2² -1 = 3×4 - 1 = 12 - 1 = 11

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a4 = 3×4² - 1 = 3×16 - 1 = 48 - 1 = 47

a5 = 3×5² - 1 = 3×25 - 1 = 75 - 1 = 74

there, that is all there is to it. you really needed help with that ?

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3 years ago

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Answer:

Step-by-step explanation:

31 divided by 4 is 7.75. you cant have 7.75 boards so youd have to round up to 8

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3 years ago

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vladimir2022 [97]

Answer:

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Step-by-step explanation:

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OR:

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