The correct answer is option B
(5 + 3i)(4+ 2i)
= 5(4+2i) + 3i(4+2i)
= 20 +10i + 12i +6i²
= 20 +22i +6(-1)
= 20 + 22i - 6
= 14 + 22i
Answer:
Karen is 71 years old
Step-by-step explanation:
Known
Karen=Jack +35
Frank=1/2 Jack
Jenifer=Frank+17
If Jenifer=35
35=Frank+17
18 = Frank
18=1/2 Jack
36= Jack
Karen= Jack+35=36+35=71
Answer: D
Step-by-step explanation:
Given that Svana wants to solve the equation 1/2x - 1.0675 = 3x - 4145.
This equation is a system of equations which can be solved by using simultaneous equation methods.
But if she uses a graphing program to graph the equations y = 1/2x - 1.0675 and y = 3x - 4.145
The solution of 1/2x - 1.0675 = 3x - 4.145. Will be the point of intersection of the two equation.
Trace the point of intersection to the x - axis and also to the y - axis.
The solution to the system of equations is ( 1.231, - 0.452 )
Distributing property because you distribute the 4 to both the x and the -6
18% of 40 is 7.2
Change the percentage (18%) into a decimal by dividing it over 100:
18/100 = 0.18
Divide 7.2 by the decimal (0.18):
7.2 / 0.18 = 40