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Genrish500 [490]
2 years ago
10

Need help please?):!!

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0
It’s located in Quadrant III
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Which of the following is equivalent to the complex number -8(7i - 3i^2)
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Answer:  B) -56i - 24

This is the same as -24 - 56i

=============================================

Explanation:

The 'i' refers to the imaginary number \sqrt{-1}

In other words, i = \sqrt{-1}

Squaring both sides gets us i^2 = -1

So,

x = -8(7i - 3i^2)\\\\x = -8(7i - 3(-1))\\\\x = -8(7i + 3)\\\\x = -8(7i) -8(3)\\\\x = -56i -24 \ \ \text{ .... Answer: Choice B}\\\\x = -24 - 56i\\\\

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7 0
2 years ago
Madison has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 12 o
Troyanec [42]

Answer:

12x+22(y+10)=1240, y=x

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large cups=40

Step-by-step explanation:

let x be the number of small cups and y the number of large cups.

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12x+22(y+10)=1240

#Before the 10 more were sold, the number of x and y sold were equal>

x=y\\\\\therefore 12x+22(x+10)=1240\\\\12x+22x+220=1240\\\\34x=1240-220\\\\34x=1020\\\\x=30

The number of small cups sold was 30

#Since, the number of large cups was 10 more, y=x+10=30+10=40

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