The value of
is
if the remainder of
is 2.
Further Explanation:
Given:
The remainder of
is 2.
Explanation:
The sum of imaginary numbers and real numbers is known as the complex number.
The complex number can be expressed as follows,
![\boxed{z = a + ib}](https://tex.z-dn.net/?f=%5Cboxed%7Bz%20%3D%20a%20%2B%20ib%7D)
Here, a is the real part of the complex number and
is the imaginary part of the complex number.
can be denoted by i.
The value of
is -1.
![{i^2} = - 1](https://tex.z-dn.net/?f=%7Bi%5E2%7D%20%3D%20%20-%201)
The value
can be obtained as follows,
![\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7Bi%5E3%7D%26%3D%20%7Bi%5E2%7D%20%5Ctimes%20i%5C%5C%26%3D%20-%201%20%5Ctimes%20i%20%5C%5C%26%3D%20-%20i%5C%5C%5Cend%7Baligned%7D)
The value
can be obtained as follows,
![\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7Bi%5E4%7D%20%26%3D%20%7Bi%5E2%7D%20%5Ctimes%20%7Bi%5E2%7D%5C%5C%26%3D%20-%201%20%5Ctimes%20-%201%20%5C%5C%26%3D%201%5C%5C%5Cend%7Baligned%7D)
The value of
is
if the remainder of
is
.
Learn more:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Complex numbers
Keywords: value,
, remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.
![sin^{-1}0.88=61.642\ degrees](https://tex.z-dn.net/?f=sin%5E%7B-1%7D0.88%3D61.642%5C%20degrees)
There are pi radians in 180 degrees. Therefore to convert degrees to radians we need to divide by 180 and multiply by pi, as follows:
Answer:
19.96
Step-by-step explanation:
99 4/5 in decimal form is 99.80, divide that by 5. hope this helps! :D
Answer:
164.0123 meters
Step-by-step explanation:
√(130^2 + 100^2)
the diagonal of rectangle is the hypotenus
Answer:
x = -3/2
Step-by-step explanation:
The removable discontinuity is at the value of x where a denominator factor cancels a numerator factor, and those factors are zero.
![p(x)=\dfrac{2x+3}{4x^2-9}=\dfrac{2x+3}{(2x+3)(2x-3)}=\dfrac{2x+3}{2x+3}\cdot\dfrac{1}{2x-3}\\\\p(x)=\dfrac{1}{2x-3}\qquad x\ne-3/2](https://tex.z-dn.net/?f=p%28x%29%3D%5Cdfrac%7B2x%2B3%7D%7B4x%5E2-9%7D%3D%5Cdfrac%7B2x%2B3%7D%7B%282x%2B3%29%282x-3%29%7D%3D%5Cdfrac%7B2x%2B3%7D%7B2x%2B3%7D%5Ccdot%5Cdfrac%7B1%7D%7B2x-3%7D%5C%5C%5C%5Cp%28x%29%3D%5Cdfrac%7B1%7D%7B2x-3%7D%5Cqquad%20x%5Cne-3%2F2)
That cancellation occurs where 2x+3 = 0, at x=-3/2.
The function p(x) has a removable discontinuity when x = -3/2.