Answer:
12y +16yi
Step-by-step explanation:
The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.
Here, we assume you have ...
(5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)
The factor (4 -3i) can be factored out, so you have ...
= ((5 +2yi) -(5 -2yi))(4 -3i)
= (4yi)(4 -3i)
= 16yi -12yi²
At this point, the definition of i comes into play, and you replace i² with -1.
= 12y +16yi
Answer:
The value of the car is 0.94 times the value of the car the previous year.
Step-by-step explanation:
90÷0.018=5000
90÷0.18= 500
90÷1.8 = 50
90÷18 =5
90÷180 =0.5
For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:
9×9×8×7×6×5×4 = 544,320 7-digit numbers
Answer:
x=18
Step-by-step explanation:
<u>Key skills needed: Arithmetic Sequences, Addition</u>
1) We have a sequence of 8,13,x
2) To find the number being added every time, we do 13-8. This is 5.
3) This means x would be 13+5
4) 13+5 is 18 so x is 18.
<em>Hope you understood and have a nice day!! :D</em>