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malfutka [58]
3 years ago
9

Multiply (5 + 3i)(5 − 3i) 16 + 15i 16 − 15i 16 34

Mathematics
2 answers:
Ghella [55]3 years ago
4 0

Answer:

34

Step-by-step explanation:

Annette [7]3 years ago
3 0

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

(a-b).(a+b)=a^{2}-b^{2}

So, in this case:

(5+3i).(5-3i) = 5^{2}-(3i)^{2}

=25-9i^{2}

Remember that i=\sqrt{-1}

So: i^{2}=-1

We replace on the polynomial:

=25-9.(-1) = 25+9=34

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There was a 12.35% increase in the price.
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Miss siegel’s class has 18 girls and 12 boys. What is the ratio of girls to boys?
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Answer:

3:2

Step-by-step explanation:

girls: boys

18    : 12

Divide each side by 6

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4 0
3 years ago
Read 2 more answers
21 Last year Chelsea and Sonya took 236 pictures during Thanksgiving. This year Chelsea and Sonya each took the same amount of p
Leokris [45]

Let 'c' represent the number of pictures Chelsea took.

Let 's' represent the number of pictures Sonya took.

For last year's Thanksgiving, c + s = 236

For this year's Thanksgiving, let 'x' represent the number of photos taken in total. x = c + s, where c and s are two integers that are the same (c = s).

And we know that for both years, c + s + x = 500.

As we know that c + s is already 236 from last year, we can remove c + s from the equation in bold and replace it with 236 instead.

236 + x = 500.

Now we have to isolate the x term.

x = 500 - 236

x = 264.

We know that x = c + s, where c and s are the same, so we can just use one of the variables and double it (so you either get 2c or 2s - it doesn't matter which one you pick because they're both the same).

2c = 264

c = 132

c = s

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Both took 132 pictures this year.

4 0
3 years ago
Use the rule y=-x+7to fill in the blank (1,y) is on the graph,then y=
Anon25 [30]
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6 0
3 years ago
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Find the measurement parallelogram.<br> I need help please, thank you.<br> I need explanation
blondinia [14]

Answer:

2.) 145°

4.) 50°

Step-by-step explanation:

2.) First find the measure of Angle Y, since they are supplementary;

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35 + ∠Y = 180

∠Y = 180 - 35

∠Y = 145°

So ∠X would be 145° as well

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∠C + ∠F = 180

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∠F = 180 -130

∠F = 50°

So ∠E would be 50°

(I didn't explain it much in detail, since this question is similar to the previous that i answered :)

Hope this helps!

4 0
3 years ago
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