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dem82 [27]
3 years ago
10

Simplify (1+2i)(5-3i)

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer: 11+7i

Step-by-step explanation: Multiply using the PIL mthod, then combine the real imaginary parts of the expression.

Hope this helps you out! ☺

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ellie is learning to play dungeons and dragons. She wants to purchase dice and gaming books. Gaming books cost 40$ each and sets
enyata [817]

Answer: 40G+8D ≤ 80; D must be at least 2 as stated in problem and can be up to 10, and you can have a maximum of 1 game book depending on how many dice sets you get (if you get more than 5 dice sets you cannot have any game books).

Step-by-step explanation: Since gaming books cost $40 so $40G for the amount of money spent and since sets of dice cost $8 so 8D for the money spent. Since the money spent must be less than or equal to 80 we put symbol at end.

7 0
3 years ago
Arun took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4 plus $4.25 per mile. The total fare
Natasha2012 [34]

Here we must write and solve a linear equation to find the number of miles that Arun traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Arun traveled 11 miles in the taxi.

5 0
2 years ago
Write the following proportion using colons. 7 is to 21 as 3 is to 9.
eduard
This is how proportion is written 7:21=3:9. The colons are sign of division so it can be shown in the terms of fraction as 7/21=3/9 or 1/3=1/3
8 0
3 years ago
A=1/2 bh for b i need help
qwelly [4]
You said that                      <u>  A = 1/2 b h</u>

Multiply each side by 2 :    2A  =  b h

Divide each side by 'h' :    <em>2A/h  =  b</em>
5 0
3 years ago
Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Advocard [28]

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

6 0
3 years ago
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