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jok3333 [9.3K]
3 years ago
10

The area of Nathan's bedroom rug is 15 square feet.The longer side measures 5 feet. His living room rug is twice as long and twi

ce as wide as the bedroom rug.
Mathematics
1 answer:
Orlov [11]3 years ago
3 0
The one in his living room is 30 feet
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Explain and demonstrate the multiplication of complex conjugates using 2+3i and its complex conjugate. Be sure to discuss all st
krok68 [10]

The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.

<h3>What is the multiplication of a complex number and its conjugate</h3>

Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

z\cdot \bar z = 2^{2} + 3^{2}

z\cdot \bar z = 13

To learn more on complex numbers: brainly.com/question/10251853

#SPJ1

6 0
2 years ago
A positive integer squared plus 3 times it’s consecutive integer is equal to 43
Eduardwww [97]

Answer:

the integer is 5

Step-by-step explanation:

x^2+3(x+1)=43

x^2+3x+3=43

x^2+3x+(9/4)=43-3+(9/4)

(x+(3/2))^2=42 1/4

x+(3/2)=sqrt(42 1/4)

x+(3/2)=6 1/2

x=(6 1/2)-(3/2)

x=5

check:

5^2+3(6)=43

25+18=43

43=43

3 0
2 years ago
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Solve the equation.<br><br> NEED HELP ASAP!!!
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Answer

x = 32

explanation
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2 years ago
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nasty-shy [4]

Answer:

h - 18 = 67

Step-by-step explanation:

If h is her height, then her height minus 18 is 67, or h - 18 = 67

4 0
3 years ago
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floodwalls are used to prevent damage from floods. A town built a floodwall 4 4/8 feet tall. Another town built a floodwall 7 1/
Bas_tet [7]

Answer:3 3/8

Step-by-step explanation:

Im not sure but im not dumb good luck

just minus 4 from 7 = 3 and 1-4=3

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3 years ago
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