Solve for y 2x - 5y = -12
1 answer:
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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: <u>Madison can travel 2.2 miles less than Anthony on one gallon of gas.</u>
Step-by-step explanation:
The equation y = 39.1 represents the number of miles,
, that madison can drive her car for every x gallons of gas.
Question: Madison can travel _ miles _ than Anthony on one gallon of gas.
Lets find how much Madison travels on 1 gallon of gas.
39.1(1) = 39.1
Therefore, Madison travels 39.1 miles on one gallon of gas.
Now lets solve for Anthony
Anthony travels 380.7 miles on 9 gallons of gas.
Therefore we can set up the equation:
9x = 380.7 to show that 9 gallons equates to 380.7 miles
to solve divide 9 from both sides
x = 41.3
So, Anthony travels 41.3 miles on one gallon of gas
Now find whether Madison travels more or less than Anthony on one gallon.
39.1 - 41.3 = -2.2
This means that Anthony can travel 2.2 miles more than Madison.
For your answer, this means that:
<u>Madison can travel 2.2 miles less than Anthony on one gallon of gas</u>
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<em>Hope this helped and have a nice day :)</em>