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valkas [14]
3 years ago
5

Add(4-4i)+(3-2i)Write as complex number in standard form​

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

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A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
3 years ago
A line passes through the point (0,6) and is parallel to the line with the equation y =
Tresset [83]

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

Best Regards!

8 0
2 years ago
Read 2 more answers
For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4
VashaNatasha [74]

Answer:

y>0.375

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
EASY MATHS PLS HELP​
Fofino [41]

Answer:

(1.25, - 5 )

Step-by-step explanation:

Given the 2 equations

- 4x + 3y = - 20 → (1)

4x + 2y = - 5 → (2)

Adding the 2 equations term by term will eliminate the x- term

5y = - 25 ( divide both sides by 5 )

y = - 5

Substitute y = - 5 into either of the 2 equations and solve for x

Substituting into (2)

4x + 2(- 5) = - 5, that is

4x - 10 = - 5 ( add 10 to both sides )

4x = 5 ( divide both sides by 4 )

x = \frac{5}{4} = 1.25

Solution is (1.25, - 5 )

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to the following complex fraction?
Virty [35]

Answer:

  \dfrac{-4x+7}{2(x-2)}

Step-by-step explanation:

Write the terms of numerator and denominator using a common denominator.

  \dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}}=\boxed{\dfrac{-4x+7}{2(x-2)}}

7 0
3 years ago
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