Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i
Answer:
A) 9/2x3/8
Step-by-step explanation:
Answer:
The correct option is 3) x and y are independent variables, z is a dependent variable.
Step-by-step explanation:
Consider the provided function.
Dependent variables depend on the values of independent variables.
Here z is the function of x and y are the variables.
The value or variable z depends on x and y.
Therefore z is dependent variable.
Also x and y are independent variables,
Hence, the correct option is 3) x and y are independent variables, z is a dependent variable.
Their greatest common factor is 1.
In fact, it's their ONLY common factor.
Answer:
Real numbers are like pi, 4, -3, 1/3, 1.25, -3468374, ......
Infinite solutions are like when you solve a problem and it doesn't work out.
like 2+2 = 3 + 2
4 = 5
It doesn't make sense at all
Hope it helps :)