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Inessa05 [86]
2 years ago
9

Will give brainliest!!

Mathematics
1 answer:
zloy xaker [14]2 years ago
3 0

Answer:

27

Step-by-step explanation:

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2+6i/2-4i = a + bi What is the value of a? What is the value of b?
Talja [164]

\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1

6 0
2 years ago
In 2005, Lee began working as a nurse anesthetist with a taxable income of $119,000. The Medicare tax was 1.45% and the Social S
maks197457 [2]

Answer:

$7,305.50

Step-by-step explanation:

The computation of the FICA tax pay in 2005 is shown below:

Medicare = 1.45% × $119,000 = $1,722.50

And, Social security tax = 6.2% × 90,000  = $5,580

So, the FICA tax in 2005 is

= Medicare tax + Social security tax

= $1,722.50 + $5,580

= $7,305.50

7 0
2 years ago
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lawyer [7]

Answer:

21/4 or 5.25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form.
Verizon [17]

Slope-intercept form: y = mx + b

m = the slope

b = y-intercept.

In this problem,

m = 3/5

b = ?

So far y = 3/5x + b

Let's plug the point (-3, -1) into our slope equation.

-1 = 3/5(-3) + b

Simplify the right side.

-1 = -9/5 + b

Add 9/5 to both sides.

4/5 = b

The equation is: y = 3/5x + 4/5

Answer choice A is correct.

6 0
3 years ago
What is the solution to the equation sqrt n= sqrt 3n-3 +1?​
inna [77]
The answer would be n = 1
3 0
3 years ago
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