The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.
<h3>What is the multiplication of a complex number and its conjugate</h3>
Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:
(a + i b) · (a - i b)
Then, we proceed to obtain the result by some algebraic handling:
a · (a + i b) + (- i b) · (a + i b)
a² + i a · b - i a · b - i² b²
a² - i² b²
a² + b²
If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:


To learn more on complex numbers: brainly.com/question/10251853
#SPJ1
The volume of the large cylinder will be twice the volume of the small cylinder.
<u>Step-by-step explanation:</u>
Let the radius of the cylinder be 'r'
Let the height of the cylinder be'h'
Volume of the small cylinder=π r² h
Volume of the large cylinder= π r² (2h)
Volume of large cylinder/volume of small cylinder= 2/1
The large cylinder volume is twice the volume of the small cylinder.
B, is the correct answer.
7% of 450 is 31.5
We add 31.5 to 450 to find out highest possible error, and subtract 31.5 from 450 to find out lowest possible error.
Answer:
The surface area of a box that is 6 by 4 inches is 24in²
4m + 90 = ≥ 350
350 - 90 = 260 ÷ 4 = 65
It will take at least 65 minutes for Jeremiah to complete the task.
Replace the variable with 65 to double check.
4 (65) + 90 = 350