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stiks02 [169]
3 years ago
12

Simplify the expression 2+3i/4+3i Please help

Mathematics
1 answer:
rjkz [21]3 years ago
7 0

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

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Answer:

No

Step-by-step explanation:

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4 years ago
What is the slope of G(-11,-3) and H(-6,7)
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8 0
3 years ago
A rectangle has a length of 23 feet less than 10 times it’s width . If the area of the rectangle is 770 square feet find the len
Tresset [83]

Answer:

The length of the rectangle is 54 feet .

Step-by-step explanation:

Given as :

The Area of rectangle = 770 square feet

The length is 23 feet less than 10 times its width

I.e Let The length of rectangle = L feet

And The breadth of rectangle = B feet

According to question

Length = 10 times width - 23

Or , L = 10 × B - 23

or, L = 10 B - 23

Now, Since Area of rectangle = A = Length × Breadth

Or, A = L × B

Or, 770 ft² = ( 10 B - 23 ) × B

Or, 770 = 10 B² - 23 B

Or, 10 B² - 23 B - 770 = 0

Now, solving this quadratic equation to get the value of B

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or, B =  \frac{23\pm \sqrt{(-23)^{2}-4\times 10\times (-770)}}{2\times 10}

Or, B = \frac{-23\pm \sqrt{31329}}{20}

Or, B = \frac{-23 + 177}{20} , \frac{-23 - 177}{20}

∴ B = 7.7 , -10

So, The breadth of the rectangle = B = 7.7 feet

So, The length of the rectangle = L = ( 10 × 7.7 - 23 )

I.e L = 54 feet

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6 0
3 years ago
What is the length? In algebra DUE TOMORROW
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In this case, divide 3,060 first by 12, the height, then by 15, the width.

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The length is 17. 
8 0
4 years ago
What did this student do incorrectly to find the percent change from 14 dollars to 10 dollars?
kodGreya [7K]

Answer:

I don't know what he did wrong, but to work out the percentage change, you do 10 ÷ 14, which gives you 0.71.

1 - 0.71 = 0.29

0.29 × 100 = 29%  You multiply by 100 to get your percentage change value.

29% is the percentage change.

I hope this helps you!! ^-^

5 0
3 years ago
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