3. The area of a kite is 24 sq. inches. What are the possible lengths of the diagonals?

Q: 2+i/3-i Write in a+bi form please

A: We have to find a+ib form of the

Q: What is the distance between the following points on the coordinate plane: (3,2) and (-4,-2)? A O…

A: Explained below

Q: Evaluate In(-3).

A: Let us consider a complex number z then it is of the form a+ib where a is real part and b is…

Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

Q: Multiply (3 - 2i)(4 + 3i)

A:

Q: How do I plot -7+i and 8-6i os it on the -7 and 8 since -6 is on th imaginary line

A: To plot these complex numbers, we need to draw a complex plane.Complex Plane: Here, X-axis is the…

Q: Operating with imaginary numbers. What is this in simplified form and how do I simplify it?

A:

Q: MUCT = 195x - 1 Find mUCT

A:

Q: How many complex numbers z with |2| = katisfies the equation 2 %3D

A: z=1⇒z2=1⇒zz¯=1⇒z¯=1z

Q: 9) -3d + Sq – 4q +1ld

A: topic - simplification

Q: Write full computation with using theoremas. Task is on attached image

A:

Q: 2.2 Simplify the complex power ()-“ and leave your answer in its simplest form.

A: Given 1+i1-i-2i

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: If 4,,2 are two complex numbers then : ollz|-|z||>|z1-z |z,+z2ls\z]\+|z3l |

A: If z1,z2 are two complex numbers, then (a) z1+z2=z1+z2 (b) z1-z2>z1-z2 (c) z1+z2≤z1+z2 (d)…

Q: 3. What are the roots of - 5x2 36 =0 1. (3i, -3i,-2, 2} 2. (-2i, 2i,-3, 3} 3. (9,-4} 4. {-9,9,-4i,…

A:

Q: What formula is most important to use throughout algebra?

A: a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2…

Q: 12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

A:

Q: Solve 12( – 3z + 5)´ + 5( – 3z + 5) – 2 = 0

A:

Q: Find the distance d(P1, P2) between the points P, and P2. P1 =(-5,5) P2 = (2,4) d (P1, P2) =D…

A:

Q: Evaluate coth (3+8i). Express your answer in rectangular form in 4 decimal places and with no spaces

A:

Q: -1+5i -i

A: topic- complex numbers  real part is added and subtracted with real part and imaginary part is added…

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

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

Q: a

A:

Q: Simplify the following: 3+7i 1. (4 + 2i) + (–3 – 51) 2. (–3 + 4i) – (5+ 2i) in standard form 3.…

A:

Q: iLii<i

A: The complex expression, x∠y can be expressed as x(cos y+i sin y) . Use the formulas below to…