6, 1, -4, -9,...
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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
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Answer:
The network model is attached.
Step-by-step explanation:
Total Demand from each Gas Company are:
Southern Gas, 500 units;
Northwest Gas, 400 units.
Total Supplies to each County are:
Hamilton County, 400 units;
Butler County, 200 units;
Clermont County, 300 units.
The distribution costs per unit (in thousands of dollars) are as follows
-----------Hamilton-- Butler-- Clermont
Southern Gas--- 10 ---20--- 15
Northwest Gas ----12 ----15---- 18
The network representation of these information is given in the attachment.
