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Kryger [21]
3 years ago
12

A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."

Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0
"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.
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Answer:

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Step-by-step explanation:

Given:

√(x² - 6x + 9)

if -3 <= x < 3

you can write (x² - 6x + 9)

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so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:

| x - 3 |

So √(x² - 6x + 9) = | x - 3 |

See the graph in the attachment.

for -3 <= x < 3

you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.

This is written as 0 < y <= 6

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s344n2d4d5 [400]
By using <span>Euler’s formula which state that:

            e∧(iΘ)  = cos Θ + i sin Θ

So,     z₁ = 2 ( cos π/6  + i  sin </span>π/6 ) = 2 e∧(i <span>π/6)
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Then </span></span>z₁ * z₂ = 2 e∧(i π/6) * <span>3 e∧(i π/4) = 6 </span><span>e∧[i (</span><span>π/6 + π/4)]
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