The answer is B your welcome
Answer:
A. the product of complex conjugates is a difference of two squares and is always a real number
Step-by-step explanation:
Given a complex number z1 = x+iy where x is the real part and y is the imaginary part.
The conjugate of a complex number is the negative form of the complex number z1 above i.e z2= x-iy (The conjugate is gotten by mere changing of the plus sign in between the terms to a minus sign.
Taking the product of the complex number and its conjugate will give;
z1z2 = (x+iy)(x-iy)
z1z2 = x(x) - ixy + ixy - i²y²
z1z2 = x² - i²y²
.since i² = -1
z1z2 = x²-(-1)y²
z1z2 = x²+y²
The product gave a real function x²+y² since there is no presence of complex number 'i'
It can also be seen that the product of the complex numbers z1z2 is like taking the difference of two square. An example of difference of two square is that of two values a and b which is (a+b)(a-b).
From the above solution, it can be concluded that the product of complex conjugates is a difference of two squares and is always a real number.
Answer:
<u>Proportion:</u>
<u>4/15 = 20/75</u>
<u>Sam will bike 37.5 km after 10 days.</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly.
Number of days Sam has gone to work biking = 4
Amount of kilometers Sam has logged on his bike = 15
2. a. Set up a proportion to solve the amount of km he will log after 10 days on the bike.
Number of days Sam has gone to work biking = 4
Amount of kilometers Sam has logged on his bike = 15
2. a. Set up a proportion to solve the amount of km he will log after 10 days on the bike.
4/15 = 20/75
b. Solve for the amount of km in part (a).
Let's use the proportion, this way:
20/75 = 10/x
20x = 75 * 10
20x = 750
x = 750/20
x = 37.5
<u>Sam will bike 37.5 km after 10 days.</u>
Answer:
false
Step-by-step explanation:
One milliliter of water has one gram of mass, and weighs one gram in typical situations
