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klio [65]
3 years ago
12

Add the two complex numbers 6 + 7i and 10 + 2i. Write your answer as a complex number in standard form, a + bi.

Mathematics
2 answers:
Effectus [21]3 years ago
7 0

<u>Answer:</u>

16 + 9i

<u>Step-by-step explanation:</u>

Every complex number has a real and an imaginary part.

We are given two complex numbers: 6+7i and 10+2i.

The complex number 6+7i has 6 as the real part and 7 as the imaginary one. While in 10+2i, 10 is the real part and 2 is the imaginary part.

We add real parts and imaginary parts separately in complex numbers:

(6+7i)+(10+2i)

= (6+10) + i(7+2)

=16+9i

11111nata11111 [884]3 years ago
3 0

6+ 7i

+10+2i

---------------------

16 +9i

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Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

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Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

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