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crimeas [40]
3 years ago
12

If ABC FMU, what is the length of MU ?

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0
Fu/ac=mu/bc so 27/36=mu/24 so mu= 18
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Write a polynomial of degree 5 with zero x=0,i square root 7, -2i
professor190 [17]

Answer:

P(x)=x^5+11x^3+28x

Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}

Let's build up the polynomial, assuming a=1:

P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})

Since:

(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2

P(x)=(x)(x^2+7)(x^2+4)

Operating the last two factors:

P(x)=(x)(x^4+11x^2+28)

Operating, we have the required polynomial:

\boxed{P(x)=x^5+11x^3+28x}

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3 years ago
The Color Company has 508 crayons. The crayons are packed in boxes of 4. How many boxes does the company need for the crayons?
zhenek [66]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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s344n2d4d5 [400]

Answer: the costs would be the same if he orders 29 rose flowers.

Step-by-step explanation:

Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.

Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is

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Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41

For the costs to be the same, the number of rose flowers that he orders would be

3x + 12 = 2x + 41

3x - 2x = 41 - 12

x = 29

4 0
3 years ago
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Cerrena [4.2K]

Answer: 21.35

Step-by-step explanation: 6.12 + 5.29 + 6.02 + 3.92 = 21.35

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3 years ago
What is 240 divided by 7?
xxMikexx [17]

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Step-by-step explanation:


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