3. Compare and contrast the multiplication of real numbers and the multiplication of complex numbers.
6x(3+2x)=
6i(3+2i)=
The multiplication of 6x(3+2x) is 18x + 12x² and 6i(3+2i) is 18i - 12 because i² can be written as -1.
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that:
The expression:
= 6x(3 + 2x)
After using distributive property:
= 18x + 12x²
= 6i(3+2i)
= 18i + 12i²
= 18i - 12
∵i² = -1
Real and complex numbers are multiplied in exactly the same way, with the exception that we can further condense the complex expression by substituting i² for -1.
Thus, the multiplication of 6x(3+2x) is 18x + 12x² and 6i(3+2i) is 18i - 12 because i² can be written as -1.
Learn more about the complex number here:
#SPJ2
Answer:
Step-by-step explanation:
b. side = z + 18
c. side = z + 9
Answer:
option c is correct.
side = z+9
Step-by-step explanation:
Area of a square(A) is given by:
where,
s is the side of the square.
As per the statement:
A certain square has an area of
⇒
Substitute in [1] we have;
Taking square root both sides we have;
Using identity rule:
then;
⇒
Simplify:
or
s = z+9
Therefore, a side of the square. is, z+9
2. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
3. Certain members of the Italian Parliament make 180,000 euros a year. If 1 euro equals 1.36 U.S. dollars, how much do the members of parliament make in dollars per day?
4. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?
5. London Heathrow airport sees on average 191,200 passengers a day. How many passengers is this per minute?
6. An African cheetah can run at speeds up to 120 kilometers per hour. What is this speed in feet per second?
7. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?
Answer:
Answer.3.1/1.36 =180,000
5.6875 a week pounds
133 people per minute
120 kph =109.3613 ft<s
Kph<ft/sft/s-----------------1.097526
120
Step-by-step explanation:
The approximate answer is 3.479.
3. 1 / 1.36 = 180,000
4. 5.6875 pounds per week
5. 133 people per minute
6. 120kph= 109.3613 ft/skph -> ft/sft/s = kph_________ 1.097280ft/s =120_____ 1.097280ft/s = 109.3613.
7. The answer is approximately 3.479