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Elden [556K]
3 years ago
8

NEED HELP PLEASE!

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0

Answer:

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

i^2 = -1

Square of the sum:

(x + y)^2 = x^2 + 2xy + y^2

In this question:

(x + (3+5i))^2

x^2 + 2x(3+5i) + (3+5i)^2

x^2 + 6x + 10xi + 9 + 30i + 25i^2

x^2 + 6x + 9 + (10x+30)i - 25

x^2 + 6x + (10x+30)i - 16

So

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

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29<br> What value of x makes this equation true?<br> 12 x - 15 = 6 - 3 x
Diano4ka-milaya [45]

Answer:

2

Step-by-step explanation:

I got it right on my work I did the other day

7 0
3 years ago
A recipe calls for 2/5 cup of chicken broth and 1/6 cup of vegetable broth. What is the total amount of broth need for the recip
Bess [88]

Answer:

I may not be correct, depending on what you were taught, but it would be...

17/30

Step-by-step explanation:

(2/5×6/6)+(1/6×5/5)

12/30 + 5/30

17/30

keep in mind you don't add the denominators at all ( the numbers at the bottom half of the fraction)

3 0
3 years ago
Find the dimensions of an American football field. The length is 200 ft more than the width, and the perimeter is 1,040 ft. Find
natka813 [3]

Answer:

The width of the football field is 160 feet.

The length of the football field is 360 feet.

Step-by-step explanation:

Let w represent width of the football field.

We have been given that the length is 200 ft more than the width, so the length of the field would be w+200.

We are also told that the perimeter is 1,040 ft. We know that football field is in form of rectangle, so perimeter of field would be 1 times the sum of length and width. We can represent this information in an equation as:

2(w+w+200)=1040

Let us solve for w.

2(2w+200)=1040

4w+400=1040

4w+400-400=1040-400

4w=640

\frac{4w}{4}=\frac{640}{4}

w=160

Therefore, the width of the football field is 160 feet.

Upon substituting w=160 in expression w+200, we will get length of field as:

w+200\Rightarrow 160+200=360

Therefore, the length of the football field is 360 feet.

7 0
3 years ago
Which written statement matches the inequality |-4| = |4|
otez555 [7]

Answer:

C

Step-by-step explanation:

both 4 and -4 are the same distance from 0

7 0
3 years ago
Read 2 more answers
Can someone please help me please
Anarel [89]

Answer:

it's answer is C. 12/10 = 4 / x

Step-by-step explanation:

As the triangles are similar so

4/12 = x/10

Or cross multiply then

12/10 = 4/x

Hope it will help :)

3 0
3 years ago
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