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Lesechka [4]
3 years ago
10

Find two complex numbers that have a sum of 10i, a difference of -4 and a product of -29

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Let these two numbers be z and w. Their sum is 10i, their difference is -4, and their product is -29:

z+w=10i

z-w=-4

zw=-29

Add the first two equations together to eliminate w:

(z+w)+(z-w)=10i-4\implies 2z=-4+10i\implies z=-2+5i

Then

w=10i-z\implies w=10i-(-2+5i)=2+5i

Just to confirm this is correct, check their product:

(-2+5i)(2+5i)=-4+25i^2=-4-25=-29

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PLEASE HELP!!
artcher [175]

To solve for f, you need to isolate/get the variable by itself in the equation:

4(0.5f - 0.25) = 6 + f       Distribute 4 into (0.5f - 0.25)

(4)0.5f + (4)(-0.25) = 6 + f

2f - 1 = 6 + f        Subtract f on both sides to get "f" on one side of the equation

2f - f - 1 = 6 + f - f

f - 1 = 6       Add 1 on both sides to get "f" by itself

f - 1 + 1 = 6 + 1

f = 7

PROOF

4(0.5f - 0.25) = 6 + f      Substitute/plug in 7 into "f" since f = 7

4(0.5(7) - 0.25) = 6 + 7

4(3.5 - 0.25) = 13

4(3.25) = 13

13 = 13

8 0
3 years ago
What is 2 divided by 1/12
Mariana [72]
The answer is 4. You take 2 and divide it by 0.5.
3 0
3 years ago
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What is the value of the expression below when z =5 and w=5? 9z-3w
zysi [14]
This is just about substitution!! 9(5)-3(5), 3 • 5 = 15
9 • 5 = 45
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7 0
2 years ago
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The price h of a recently bought house plus 10% property tax
Bogdan [553]
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8 0
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Can someone help me pleaseeeeeeeee.
Leya [2.2K]

Answer:

B) 2.25

Step-by-step explanation:

Given:

x = -2

y = 4

z = -5

Work:

\frac{x^2-z}{y} \\\\\frac{(-2)^2-(-5)}{4}\\\\\frac{4+5}{4} \\\\\frac{9}{4} \\\\2.25

7 0
2 years ago
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