Draw the triangle with vertices 21 = 2 – 4i, z2 = -5 – 4i and z2 = plane and also find the area of the triangle. -6+ 8i on a complex %3D

Q: Vz + i/3 V3 - 10i 5. 6. -V8 – 21/3 -V3 + 5i

A: The given problem is to evaluate and simplify the given complex expression and graph the following…

Q: AABC is an equilateral triangle in the Argand diagram where A represents the complex number i and…

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Q: Find the cube root of-8 lying in the first quadrant of complex plan. Select one: Oa1+ V3i Ob.i+2 V3…

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Q: Find the cube root of -8i lying in the fourth quadrant of complex plan. Select one: 1- V3i i O b. V3…

A: To find The cube root of -8i lying in the fourth quadrant of complex plain.

Q: Find the indicated roots and graph them in the complex plane. The fifth roots of 243 w0= w1= w2=…

A: to find the fifth root of 243 proceed as follows  let 243+0i comparing with z=a+bi a=243b=0 find…

Q: Find the indicated roots and graph them in the complex plane. The cube roots of  4root3+4i  b)…

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Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: (2) (z1 + z2) (Rectangular Form)…

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Q: In the graph, 1 and 2 are complex numbers represented as vectors from the origin. What is 2-1? 4 Z1…

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Q: iv) in complex number z3. (7)? = |z|?. z

A: Complex number: A complex number has the form z=x+ιy, where x is called the real part and y is the…

Q: The polar form complex number (Z=12i )is

A: given  complex number Z=12i

Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1,1) to the origin. Give the…

A: We need to find the motion which moves the line x+2y=3 to the y-axis and the point (1,1) to the…

Q: AABC is an equilateral triangle in the Argand diagram where A represents the complex number i and…

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Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1, 1) to the origin. Give the…

A: To find a motion that moves the line x+2y=3 to the y-axis and the point 1,1 to the origin i.e.0,0.…

Q: In the complex plane, the complex number a is identified by the vector OA. Find the midpoint of the…

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Q: Find the complex conjugate z1 of z1 = -2i + 7. Z1 = %3D tch a video or use a hint.

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Q: The geometric representation of the equation iz +2-2i = 16 is a circle whose center is. %3D

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Q: Find and graph all the roots in the complex plane. (3 + 14)3

A: We use the approximate value in rectangular form, actual value in polar form

Q: Find the indicated roots and graph them in the complex plane. The square roots of 4/3 + 4i Im Im Wo…

A: Consider the given information. z=43+4i The general for of the complex number is z=x+iy. Now, find…

Q: What does |w_1|= ?and what does |w_2|=?

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Q: In the complex number 5 + 2i, the number 5 is called the ____ part; the number 2 is called the_____…

A: To fill in the blanks In the complex number 5 + 2i, the number 5 is called the ____ part; the number…

Q: Find the complex conjugate z, of z1 = -4i + 4. ž =

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Q: Let z, and z2 be two complex roots of the equation z2 + az + b = 0. Assume that the Origin, z1, and…

A: Given  Let z₁ and z₂ be two complex roots of the equation                  z² + az + b = 0. Assume…

Q: the complex number z =(2)sqrt2.(e3pi/4) is in eulers form. writing z in the form a+ib. what are the…

A: Given : z = 2√2 ei3π/4

Q: If a, B, Y, 8 are four complex numbers such that a+ Bt is real and od - By# 0, then z = Y+8t te…

A: We have given α, β, γ, δ are real numbers such that γδ is real number and αδ - βγ ≠0.

Q: Find the distance between the points 2+3i and 5 -2i in the complex plane. (Round your answer two…

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Q: 7. 1 + 을mi

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Find all Complex Yoots @ Z^_Z 20 +32i=0

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Q: Find the value of x in the complex equation (2x - 3yi)(3 + 4i) = 78 - 21i %3D

A: Given complex equation (2x-3yi)(3+4i)=78-21i To determine the value of x  First multiple left hand…

Q: Find the cube root of 8i lying in the first quadrant of complex Select one: O a. į - V3 O b. i + V3…

A: We find the cube root of 8i lying in the first quadrant of complex

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

A: Given two complex numbers, z1=-3-i, z2=4+5i. We have to sum and product and plot them.

Q: Draw cach z in the complex plane, find its absolute value [z| and argument arg(z), then write in…

A: If z=a+ib is complex number than  |z|=√(a2+b2) And argument arg(z)=tan-1|b/a|. For polar form we…

Q: Find the location of z = -3-4i on the complex plane and find |z|.

A: The given complex number is z=-3-4i Compare with,

Q: z is a complex number with |2| = 6. The triangle formed by z, z?, z° has a right %3D angle at z.…

A: Use the following formulae, to obtain the solution. i2=-1 x+iy=x2+y2 If z=x+iy is a complex number,…

Q: Find the cube root of -8i lying in the fourth quadrant of complex plan. إختر أحد الخيارات: 1- 13i .a…

A: To find The cube root of -8i lying in the fourth quadrant of the complex plane

Q: Plot the points z = 3+9i and w = 7+5i on a complex plane ană find distance between

A: Plot the points z = 3+9i and w = 7+5i

Q: Draw all eight solutions of z8 = 1 in the complex plane. What is the rectangular form a+ ib of the…

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Q: If the complex number Z=2+2√3i .then r=

A: We know that , If z=a+bi then r=a2+b2

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

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Q: Express the result in trigonometry and rectangular form (1 + 2i)4 44. (1 – 2i)?

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Q: If a = 2i and b=-3+4i, then find the value of a²b in fully simplified form. %3D %3D

A: We plug the given values of a and b in the expression.…

Q: Find all the values of V2. Write your answers in the form a+ ib and show the location of these…

A: Given expression is: 26=2+i·016 Let us consider, r cos θ=2  ;  r sin θ=0 Then we get, r2cos2 θ+sin2…

Q: Find the complex conjugate z of z1 = -1+5i. %3D

A: Given that z1=-1+5i find the complex conjugate

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

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Q: Find the cube root of -8i lying in the fourth quadrant of complex plan. إختر أحد الخيارات: 1- V3i 1+…

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Q: 1 (3 + 14)³

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Q: Find the cube root of -8 lying in the first quadrant of complex plan. Select one: O a. 1- V3i • b.…

A: Given, We have to find the cube root of  -8 lying in the first quadrant of complex plane .

Q: 4. Graph the complex number on the grid provided. 8-9i

A: Given problem:- Graph the complex number on the grid provided 8 - 9i

Q: Check which of the complex no. is closer to the origin.. Z1 = 1 + 2i , Z2 = 3 – 4i

A: The general form of a complex number is given by a+ib, where a, b are two real numbers and i=-1. The…