This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
<span>There
are a number of ways to express concentration of a solution. This includes
molarity. Molarity is expressed as the number of moles of solute per volume of
the solution. We calculate as follows:
Molarity = 78.6 g KF ( 1 mol / 58.1 g ) / .225 L = 6.013 mol / L KF solution</span>
4/8 is less full because the 6th fraction is more than the 8th and there is the same amount of pieces.
Answer:
1. x=27
2. x=3
Step-by-step explanation:
<h3>the first one </h3>
let's solve your equation step-by-step.
x−7=20
Step 1: Add 7 to both sides.
x−7+7=20+7
<h3>the second one </h3>
Let's solve your equation step-by-step.
3x+6=12x−21
Step 1: Subtract 12x from both sides.
3x+6−12x=12x−21−12x
−9x+6=−21
Step 2: Subtract 6 from both sides.
−9x+6−6=−21−6
−9x=−27
Step 3: Divide both sides by -9.
−9x/−9=−27/−9
<h3 />
