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Igoryamba
3 years ago
15

What is the sum of (2+4i) and (7+11i)

Mathematics
2 answers:
Romashka [77]3 years ago
3 0
Add like terms
2+4i +7 +11 i =
2+7 + 4i+11i =
9+15i
Ksivusya [100]3 years ago
3 0
To find the sum on (2 + 4i) and (7 + 11i) we need to add like terms

The phrase, “like terms” refers to numbers with the same variables 

To combine 2 + 4i and 7 + 11i

We need to add the constants, (2 and 7), and the variables (4i and 11i) together and then add a plus sign between the two sums to get our answer

2 + 7 = 9

4i + 11i = 15i

At this point, it is not possible to combine 9 and 15i any further, because they are not like terms, instead we just add a plus sign between the two

15i + 9 

SHORT EXPLAINATION:

To solve, add the numbers without the “i” together, then add the numbers with the “i” together, take the two sums and put a plus sign between them

2 + 7 = 9
4 + 11 = 15

Answer: 15i + 9

I hope this helps! <3


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\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&S&(~ 20 &,& 16~) &#10;%  (c,d)&#10;&T&(~ 22 &,& 8~)&#10;\end{array}~ &#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}&#10;\\\\\\&#10;ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}&#10;\\\\\\&#10;ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}

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3 years ago
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