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 :)
I believe the answer is 9, because 1/3 is .33 so 33%. so 33% is equal to 3 buttons and add another 66% which would be another 6 buttons would add up to 99% in all. after that I don't think they would add a quarter of a button.
Answer:
backflip cartwheel
Step-by-step explanation:
The Length of third side of the triangle is 4x +5
What is the Triangle?
A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
How to determine the length of the third side of the Triangle?
The given parameters are:
Length of the first side = 3x+2
Length of the second side =7x-4
Perimeter of the triangle =14x+3
Now, The perimeter is the sum of the sides of lengths
So, we have
Perimeter = sum of the sides of lengths
According to the question:
14x+3 =3x+2 +7x -4 + third side
Evaluate the like terms
14x-10x = -2 -3
third side = 4x + 5
Hence, The length of the third side of the triangle is 4x+5
Learn more about of perimeter of the triangle
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