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nikitadnepr [17]
3 years ago
10

What is the value of the product (3 - 2i)(3+2i)?

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

13

Step-by-step explanation:

<em>1. Distribute each term in the first binomial to each term in the second binomial,</em> <em>FOIL (first, outer, inner, last)</em>

(3 - 2i) (3 + 2i)

9 + 6i - 6i - 4i^{2}

<em>2. Simplify </em>

9 - 4i^{2}

<em>3. Solve for i. </em>i^{2} = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!

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An architect creates a scale model of a building with a scale of 3 inches =11 feet of the actual width of the building is 121 fe
Tomtit [17]

Answer:

The width of the scale model is 33 inches.

Step-by-step explanation:

This question is solved making a relation with the scale model.

In the scale, 3 inches are worth 11 real feet.

The actual width of the building is 121 feet, so we find it's scale by a rule of three.

3 inches - 11 feet

x inches - 121 feet

11x = 121*3

Simplifying by 3, both sides

x = 11*3 = 33

The width of the scale model is 33 inches.

5 0
3 years ago
Use the graph of the function y = 4x to answer the following questions.
Sav [38]

Hello from MrBillDoesMath!

Answer:

For y = 4x, the domain of the function is all real numbers. This can be indicated  as ( -infinity, infinity),

...later part of question:...

..."because an exponent can be any real"

exponent?   !!!

Did you mean y = 4^x ? In this case the domain of y is all real numbers ann the range is (0, infinity), where the value 0 is not included in the range.

Thank you,

MrB

4 0
3 years ago
Read 2 more answers
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Molodets [167]
Are we assuming that we are using an eight of a cup of pumpkin puree per latte?
If we are then the answer would be 1.042 cups of milk more than puree.

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That would be ( 2/3 ) × 5 = 0.666666 ( a lot of sixes ) × 5 = 1.666666 ( a lot of sixes ).
To find the difference, you would then have to subtract the amount of puree from the amount of milk.
You would get 1.666666 − 0.625 = 1.0416666 ( also a lot of sixes ). If you are doing this with your own calculator you should get approximately the same number.
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I hope this helped.
7 0
3 years ago
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ale4655 [162]

Answer:

1.19

Step-by-step explanation:

f=- Frisbee

10f=11.90 [ :10

f    =1,19

8 0
3 years ago
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ra1l [238]
All angles add to 180 in a triangle. So 180 - 102 - 31 =47
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