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Anarel [89]
4 years ago
6

Find the missing term. () + (7 − 3i) + (5 + 9i) + 13i = 10 − 5i.

Mathematics
2 answers:
kotegsom [21]4 years ago
5 0
X + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

Subtract 13i from both sides

x + (7 -3i) + (5 + 9i) = 10 - 18i

Subtract (5 + 9i). MAKE SURE YOU SUBTRACT 9i TOO. In other words, distribute the negative and subtract 5 and 9i at the same time.

x + (7 - 3i) = 5 - 27i

Do the same with (7 - 3i). You'll be adding 3i since -(-3i) = 3i.

x = -2 - 24i
Archy [21]4 years ago
3 0

Answer:

the missing term is (-2-24i)

Step-by-step explanation:

Let

(x+yi)------> the missing term

we have

(x+yi)+(7-3i)+(5+9i)+13i=10-5i

Combine like terms in the left side

(x+7+5)+(yi-3i+9i+13i)=10-5i

(x+12)+(yi+19i)=10-5i

Solve the system of equations

x+12=10 ------> equation A

x=10-12=-2

yi+19i=-5i ------> equation B

yi=-5i-19i=-24i

the missing term is (-2-24i)

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andrew11 [14]
7- \frac{5}{3c}=22 \\ \\ -\frac{5}{3c}=22-7 \\ \\ -\frac{5}{3c}= 15 \\ \\ 3c= -\frac{5}{15} \\ \\ 3c= -\frac{1}{3} \\ \\ c=\frac{1}{3}*(-\frac{1}{3}) \\ \\ \boxed{c= -\frac{1}{9}}
8 0
3 years ago
Please help.
Debora [2.8K]
<span>(1/3)(1/5)  = 1/15

answer
</span><span>3. 1/15</span>
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4 years ago
A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that
Maksim231197 [3]

Answer:

150 different committees can be formed

Step-by-step explanation:

We have 6 boys and 5 girls and we want to select 5 members

Out of these 5 members, two boys are selected

Since two boys are selected, we are left with three girls

So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls

Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;

nCr = n!/(n-r)!r!

With this, we have;

6C2 * 5C3

= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed

3 0
3 years ago
Choose the steps that show how to solve this problem using arithmetic
antiseptic1488 [7]

Answer:

1) find d or distance between numbers

2) equation: an=a1+(n-1)d

3) an is nth term

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4 0
3 years ago
Which expression is equivalent to the square root of 1/8
irina1246 [14]
When you say "which," it sounds like it should be multiple choice. Anyways, here's the simplified form of \sqrt{\frac{1}8}}

\sqrt{\frac{1}8}} = \frac{\sqrt{1}}{\sqrt{8}} = \frac{1}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}=\boxed{\frac{\sqrt{8}}8}

(When simplifying fractions, you should <em>never</em> have a square root on the bottom. Multiply by the square root to cancel it out)
4 0
4 years ago
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