Mathematics High School

The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)​

Answers

Answer 1

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².

Related Questions

Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?

Answers

Answer:

first tell how far does Mr. Gilbert drive???

Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.

Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12

I hope this helps! :)

I GIVE BRAINLIST ON ALL MY QUESTIONS !!

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Answers

Answer is D)

no solution

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Answer:

.88 Euro

Step-by-step explanation:

One U.S. dollar is equivalent to .88 Euro. Have a nice day!

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A restaurant allows groups to rent a private room in the restaurant for $50. This is in addition to the cost of food which is $10 per person.

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Answers

Answer:

See attached

Step-by-step explanation:

  First, our y-intercept must be $50 because no matter how many people come, there will be the cost of the room for $50. Then, for every person that comes, the price will increase by $10. Since the y-axis is going by tens, this will look like a 1/1 slope.

  The first point is at (0, 50) and you can see the rest of the ray graphed

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Can someone please give me the answer​

Answers

Answer:

6/10

Step-by-step explanation:

30/50=3/5

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15/25=3/5

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Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?

Answers

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

What does the degree of the polynomial tell you.

Answers

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

look at the image, i need help with b mostly and please also answer a so i can check my answer

Answers

Answer:

a) 10 per for 4 min means 150 per hour. so more hamburgers are sold per hour.

b) see attachment

Layla has a points card for a movie theater.
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Answers

Answer:

2

Step-by-step explanation:

Answer:

30+13.5=43.5 so she needs 6.5 more points

Step-by-step explanation:

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Answers

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Step-by-step explanation:

900/10 = 90

Answer: 90

Step-by-step explanation:

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Answers

Answer:

5261.436 would be the answer

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Answer:

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Answers

Answer:

Step-by-step explanation:

120 percent,

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Answers

Answer:

B

Step-by-step explanation:

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Frank pays 2.85 for a bag of 15 tangerines.
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If necessary, round your answer to the nearest cent.

Answers

Answer:

19 cents because 2.85/15=0.19ct   and now we round it up its 20cents!

Step-by-step explanation:

Hope this helps!

Answer:

The answer is $0.19

Step-by-step explanation:

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Answers

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

  (c)  y = −1/3x −2

Step-by-step explanation:

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__

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Step-by-step explanation:

math

Answer question 3 and also I will give you brainiest if you give the correct answer hurry!!!

Answers

To find the rate of change, you look at how much the y value increases with a change of 1 x. We see that as x increases from 1 to 2, y increases from 120 to 144. Then we subtract 144-120 to find the rate of change, which is just 24 (also note that x changes by 1 here).

Then for the initial value:
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Hope this helps

im stuck on this problem can someone help me? (see photo) ​

Answers

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I remember doing this problem before :)

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That’s the answer for the question

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Answers

[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]

[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]

[tex] \frac{72}{1000} = \frac{9}{25} [/tex]

[tex] \frac{2}{1000} = \frac{1}{50} [/tex]

I DON'T KNOW IF CORRECT

Answer:

i) 2.9

ii) 3.29

iii) 0.072

iv) 0.002

Step-by-step explanation:

i) 29/10 = 2.9

ii) 329/100 = 3.29

iii) 72/1000 = 0.072

iv) 2/1000 = 0.002

It's Helpful For All

Mark me Brainliest

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Answers

Answer:

118.72

Step-by-step explanation:

I just used my calculator 0-0 hope this helped :)

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Answers

Answer:

707.7

Step-by-step explanation:

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Step-by-step explanation:

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