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n200080 [17]
3 years ago
12

Question please answer!!!! !!!

Mathematics
2 answers:
Bond [772]3 years ago
8 0

Answer:

D

Step-by-step explanation:

So, recall the four basic i exponents:

i^1=i\\i^2=-1\\i^3=-i\\i^4=i

The strategy here is to write the expression in terms of i to the fourth times another i.

For instance, 39 is the same as 36 plus 3. In other words:

i^{39}=i^{36}\cdot i^3

Now, i^36 is the same as (i^4)^9. So:

i^{39}=(i^{4})^9\cdot i^3

And as we already know, i to the fourth is 1. So:

i^{39}=(1)^9\cdot i^3

Simplify:

i^{39}=i^3

Again, i to the third is -i. So:

i^{39}=-i

Our answer is D.

And we're done!

prisoha [69]3 years ago
5 0
It’s D, because that one is the most understanding one
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Answer:

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step 3: x equals 5

Step-by-step explanation:

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3 years ago
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3.2

Step-by-step explanation:

4.7 - 1.5 = 3.2 that's an A

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3 years ago
Jenny's math grades are 95, 82, 75, 100, 67, 89, 75, 80, 91, and 70. Make a stem and leaf plot for these grades.
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7 0
4 years ago
Read 2 more answers
If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10​
Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

We need to find the value of a.

The LCM of (2+i) and (3+i)  is (2+i)(3+i)

=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}

Now rationalize the denominator by multiplying by 5-5i/5-5i

=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}

We are given

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

Now after solving we have:

\frac{1}{10}-\frac{i}{10}=a+bi

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0
4 years ago
Write the algebraic expression that matches each graph
Sophie [7]

Answer:

1. y= |x| -15

2. y = -|x| +3

Step-by-step explanation

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Not sure, if correct but here.

4 0
3 years ago
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