2. Complete the proof below. Given: AB || CD, AD || BC Prove: AD BC D Statements Reasons 1. AB || CD, AD || BC 1. 2. 2. 3. 3. Reflexive Property of Segments 4. B.

Q: how about complex number solutions?

A: Apologies for the inconvenience. One solution is x=-1, other 5 solutions we will get from x5=-32.

Q: What is the basic principle in multiplication of complex numbers?

A: A complex number is a number that can be expressed in the form a+bi, where a and b are real numbers,…

Q: find all complex-number solutios (x+5)2 = -108

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Q: What we want to do next is to write a procedure to raise any complex number to any integer power (x…

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Q: Describe completely the  Development and application of complex number in Engineering.

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Q: Prove that x¹ + 1 = (x² + √2x+1)(x²-√2+1). the complex numbers. Find similar factorizations for 78…

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Q: Is it possible to solve this question without graphing? Just pure algebra.

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Q: Express the following complex number in exponential form: (47.3 – 10.91)

A: Any complex number, z=x+yi can be represented in the exponential form as z=reiθ , where, r=x2+y2 and…

Q: Write the number 1 + i/2 - 3i in standard form a + bi. please show steps

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Q: multiply (5 + 2i)(4 - 3i). please show all the work used to multiply.

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Q: Prove:The addition of complex number is associative.

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Q: Can the cube be “tripled”?

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Q: This is kind of difficult to understand without parenthesis, because of that I am getting lost after…

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Q: Find the fifth roots of ( -128  + i)

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Q: Use DeMoivre’s Theorem to find all the cube roots of 2i. Show your work.

A: From the given z=0+2i. That is, a=1 and b=2. Recall the DeMoivre’s Theorem: "If Z=rcosθ+isinθ, then…

Q: The product of positive numbers is always positive Is this true or false? Also provide a example for

A: We have to check

Q: 60 6-V-8 5. 6. 4 + V-25 -2

A: We have to simplify the complex numbers. 4. i460 5. 6--8-2 6. 4+-25

Q: Briefly describe De Moivre's theorem and also describe a complex number

A: De Moivre's theorem:- It is defined as that cos θ+isin θn=cos nθ+isin nθ where  i=-1 And this is use…

Q: Are operations with complex numbers similar to operations with polynomials?

A: When a negative number is expressed inside the square root operation, the imaginary unit i=-1 is…

Q: Find the imaginary part of 2 to the power i+3

A: 2i+3 = 23•2i = 8•2i  Now, 2i = ei•ln(2) = cos{ln(2)} + i•sin{ln(2)}

Q: How many complex roots has the equation x⁷ + x⁴ - x² - 3 = 0

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Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

Q: Find the values of complex number ਦੇ + √2 333

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Q: (a) Simplify i*+1 in real and imaginary parts.

A: As there are two questions given ,i only do the first.