Given the complex numbers (1 +10i) and (a + 4i). Determine the value of a if the midpoint between these comple numbers is (-10 + 71).

Q: Find the polar form for the complex number -2-3i.

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Q: For the given complex numbers: Z1 = 4 - 2i and Z2 = -1 +3i, find: Z1 - 2 22 Select one: a. 6 - 8i b.…

A: Given thatZ1=4-2iZ2=-1+3i2Z2=-2+6i

Q: Plot the complex number z = -3 + 4i and find its absolute value.

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Q: Z1+Z2 Z3 O -2- 6i O -1-i O 1-3i O 2- 6i

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Q: For the complex numbers w = 7 + -6 i • z = 4 - 5 i Enter the absolute value of 2w 3z in the space…

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Q: For the complex number 3 + 6i the real part is and the imaginary part is

A: Given that Complex number = 3 +6i

Q: Find the real and imaginary parts of the complex number.

A: z = a + ib                          where,  a…

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: 6-3i--2+5i

Q: given equation of a complex number as 6+8i. find the equation in polr form

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Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

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Q: write the complex number in polar form with argument 0 between 0 and 2t 23 -2i

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Q: perform the indicated operation and express the result as a simplified complex number 1+9i/1-9i

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Q: A complex number is given as 2 + j2. The argument that results from taking the 5th power of it is…

A: Introduction: The complicated numbers are represented through a Cartesian aircraft referred to as…

Q: perform the indicated operation and express the result as a simplified complex number 3+7i/i

A: To simplify the given problem. (3 +7i)/i

Q: 6i

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Q: Given the complex numbers z, =-3+ j4 and 2 12+ j5, find: (a) Z122 (b) (c) Z1-22

A: By using algebraic rules of complex numbers we solve this question

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: To perform addition: (-7+3i)+(9-5i) Solution: (-7+3i)+(9-5i) On simplifying further we get:…

Q: For the complex number 3 + 4i, give (a) the absolute value; (b) the opposite; and(c) the conjugate.

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Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Topic -multiplication Of complex numbers

Q: 9. (1+iv3). 1/3

A: To find (1+i3)13

Q: find the square of the complex number 2 -2i and write the answer in a form a + bi where as a and b…

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Q: Which complex number labeled in the complex plane below is the plot of the complex number 1+2i? imag…

A: Complex number

Q: Find the sum and the product of the complex numbers 3 - 2i and - 3 + 5i.

A: Given complex numbers are: 3-2i and -3+5i       ……1

Q: Given complex numbers, z, =-5+2i and z, =-5i. Find in the form of a+bi where a and b are real…

A: We have to find out

Q: Find the distance between the complex numbers in the complex p 1 + 7i - 1 + 5i

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Q: Find a complex number so that c^2=i

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Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Given: √-3 ∙ √-12

Q: .z³ = 8i

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Q: Write the complex number i+2 in the form of rel0

A: image is attached with detailed solution.

Q: Find the sum and the product of the given complex numbers. Plot a quadrilateral with the origin, the…

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Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Given:

Q: Find a complex number z, where (10 + 6i) + z is a real number. i Then find the product of your…

A: A complex number is of the form a+ib ,where a and b are real numbers and i2=-1

Q: divide the complex numbers and express your answer in form (a+bi) 3-4i/8+2i

A: The given complex number is 3-4i8+2i

Q: Perform the indicated operation and express the result as a simplified complex number. (5 - 6i) (4 +…

A: To evaluate: (5−6i)(4+8i) Multiplication of two complex numbers is the same as the multiplication of…

Q: Given the complex numbers zi = 20 cis 226° and 72 = 5 cis 76°, find the quotient . Z1 Z2

A: z1=20cis2260=20cos2260+isin226°=20ei226°z2=4cis76°=4(cos76°+isin76°)=4ei76°

Q: plot the complex number (with table of values) and find its absolule value. a) -4i b) -8 c) 8-6i

A: To plot: The complex number -4i, -8 and 8-6i and also find absolute value. Concept used: The…

Q: Perform the indicated operation and express the result as a simplified complex number. (3 + 7i) (3 –…

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Q: Perform the operation and simplify. Express the answer in terms of i (as a complex number). Show the…

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Q: Find the indicated roots, and graph the roots in the complex plane. The fourth of 4-4/3i

A: Find the indicated roots, and graph the roots in the complex plane. The fourth of 4 - 4√3i

Q: Find tjhe distance between the pair of complex numbers. (-8 - 7i) and (-10) V73 O45 V53

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Q: For the given complex numbers: Zı = 4 - 2i and Z2 =-1 +3i, find: 2*Zı - Z2 Select one: a. 5- 5i O…

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Q: For the given complex numbers: Z1 = 4 - 2i and Z2 = -1 +3i, find: Z1 - 2*Z2 Select one: O a. 5- 5i…

A: Given complex numbers are Z1=4-2ι and Z2=-1+3ι. We have  to calculate Z1-2Z2. We know that a complex…

Q: What is the real and imaginary parts of the complex number -5/6i

A: z = - (5/6)i can be written as, z = 0 + (-5/6)i

Q: Combine the complex numbers. (9+2i)-(5+6i)

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Q: Add the two complex numbers: (3 + 4i) + (5i).

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Q: Add the complex numbers. Express your answer in the form (a + bi). (8 – i) + (-3 - 4i) E Tutorial

A: Given(8-i)+(-3-4i)