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Mashcka [7]
3 years ago
13

Which of the following expressions is a sixth root of unity?

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0
-1 for apex i just answered this question and got it right

Dima020 [189]3 years ago
3 0

Let sixth root of unity be x

So x^{6}=1

x^6-1=0

(x^3)^2-1^2=0

(x^3-1)(x^3+1)=0x^3-1=0  $ or $ x^3+1=0

(x-1)(x^2+x+1)=0 $ or $ (x+1)(x^2-x+1)=0x-1=0 $ or $ x^2+x+1=0 $ or $ x+1=0 $ or $ x^2-x+1=0

Using Quadratic formula for the quadratic equations we get

x=1 $ or $ x=\frac{-1\pm\sqrt{1-4} }{2}   $ or $ x = -1 $ or $  x=\frac{1\pm\sqrt{1-4} }{2}

x = 1 $ or $ x=\frac{-1\pm\sqrt{3}i }{2} $ or $ x = -1 $ or $ x=\frac{1\pm\sqrt{3}i }{2}

Only 1, out of the given option is the sixth root of unity.

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Tomtit [17]

Answer:

You would draw a sloped line leaning to the right, then make it less steep, then draw a flat line.

Explanation:

The steeper slope represents the dog walking at a normal pace, when the line gets a little less steep it means the dog has slowed down, and when it is flat is where ethe dog took a rest.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

7 0
2 years ago
A box of 6 eggs costs £1.80. Work out how much a<br> box of 10 eggs would cost.
telo118 [61]

Answer:

18

Step-by-step explanation:

1.80 x 10 = 18.0

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5 0
3 years ago
how much money will you have in 10 years if you invest $12,000 at a 3.3% annual rate of interest compounded quarterly?
Andrej [43]

Answer:

The amount is $16718.7 and the interest is $4718.7.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

P=$12000 , r=3.33% , n=4 and t=10 years

After plugging the given information we have

AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7

STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:

A16718.7II=P+I=12000+I=16718.7−12000=4718.7

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What figure are you taking about,?

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