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3 years ago

What is the rule of this pattern 1, 21, 85, 341

Mathematics

2 answers:

Lilit [14]3 years ago

7 0

Multiply everything except the first starting number by 4 then add 1

weqwewe [10]3 years ago

4 0

5 x 4 +1 =21

21 x 4 +1 = 85

85 x 4 + 1 = 341

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which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

elena55 [62]

Step-by-step explanation:

$\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1$

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

${c}^{2} = {a}^{2} - {b}^{2}$

Here a^2 is 9, b^2 is 4.

${c}^{2} = 9 - 4$

${c}^{2} = 5$

$c = \sqrt{5}$

So our foci is

$(2, - 5 + \sqrt{5} )$

and

$(2, - 5 - \sqrt{5} )$

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2 years ago

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yulyashka [42]

This may be the answer,hope it helps

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3 years ago

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3 years ago

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Completing the square x^2-19x-42=0

Ugo [173]

Answer:

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Step-by-step explanation:

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3 years ago

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Elza [17]

Answer:

$16h+8$

Step-by-step explanation:

$(2h+1)(8)$

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