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Genrish500 [490]
3 years ago
11

Simplify: (3-4i)(1+5i)-(2-i) Show all of your work please

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
So first you want to do the multiplication.

(3-4i)*(1+5i)

So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.

Or,

3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i

Or,

3 + 15i + -4i - 20i

Then,

3 + -9i

3 - 9i - (2 - i)

Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.

3 - 9i - 2 + i

Or,

1 - 8i


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can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
Lerok [7]

not possible because the area of a square is always a square of it's length and a square cannot be a prime number

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME OUT!!!
DedPeter [7]

Answer:

20/3  or  6.67  or  6 \frac{2}{3}  (any of these are correct)

Step-by-step explanation:

Volume of triangular pyramid formula is V = 1/3 * base area * height

V = 1/3 * 5 * 4 = 20/3

20/3  or  6.67  or  6 \frac{2}{3}

4 0
2 years ago
The length,AB of the rectangular lot is 1 foot less than two times its width, BC. If the perimeter of the rectangular lot 394 fe
r-ruslan [8.4K]

Answer:

AB=131\ ft

Step-by-step explanation:

we know that

The perimeter of the rectangular lot is

P=2(AB+BC) ----> equation A

where

AB is the length

BC is the width

we have

AB=2BC-1 ---> equation B

P=394\ ft ----> equation C

substitute equation B and equation C in equation A

394=2(2BC-1+BC)

solve for BC

394=2(3BC-1)

394=6BC-2

6BC=396

BC=66\ ft

<em>Find the value of AB</em>

AB=2BC-1

AB=2(66)-1

AB=131\ ft

6 0
3 years ago
What is one and one fourth times 30
n200080 [17]
1 1/4*30=37.5 because, first to make this easier to work with I like to turn the fraction into a decimal like so, 1/4=.25 because 1/4=.25 so 1/4=.25, so now we have 1.25*30=? What this is pretty much saying is that 30+(25% of 30)=? Which to solve this we just need to find how much 25% is of 30 which is .25*30=7.5 because 7.5*4=30 making it true that this is 25% of 30. Now what we have to do is take 30+7.5 (because we have a 1 infront of the 25% we add this instead of subtract it, if we had no whole number infront of the 30 and where solving this that way we would have to subtract instead of add) which adds up to be are end answer of 37.5.

Hope that this helps and makes sense, Enjoy!=)
6 0
3 years ago
True or false: the standard deviation is the square root of the variance.
Vilka [71]
Why not look up "standard deviation" yourself, to be sure?  But yes, the std. dev. is the sqrt of the variance.
6 0
3 years ago
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