(1 + 3i)(6i)
(1 + 3i)(2 – 3i)
(1 + 3i)(1 – 3i)
(1 + 3i)(3i)
we will proceed to verify each case to determine the solution
remember that
case A)
applying distributive property
------> is not a real number
therefore
the case A) is not a real number product
case B)
applying distributive property
------> is not a real number
therefore
the case B) is not a real number product
case C)
applying difference of square
------> is a real number
therefore
the case C) is a real number product
case D)
applying distributive property
------> is not a real number
therefore
the case D) is not a real number product
the answer is
Answer:
Explicit formula for the sequence isand
Step-by-step explanation:
Given: Sequence = 10, 9.5 , 9 , 8.5 , 8
To find: Explicit Formula for the sequence and 8th term of sequence
1st term of sequence = 10
2nd term of sequence = 9.5
3rd term of sequence = 9
4th term of sequence = 8.5
5th term of sequence = 8
Difference between 2nd and 1st term = 9.5 - 10 = -0.5
Difference between 3rd and 2nd term = 9 - 9.5 = -0.5
Since, Difference is same in both cases
⇒ It is Arthematic Progression
⇒ First term, a = 10 and Common term, d = -0.5
using formula of AP for nth term we get,
⇒ 8th Term of AP,
Therefore, Explicit formula for the sequence isand
Answer:
Step-by-step explanation:
The given sequence is an arithmetic sequence, because each term can be found by applying a difference.
In this case, you can observe that such difference is -0.5, because each term is going down by 0.5 units.
The formula that describes an arithmetic sequence is
Where is the last term,
is the first term,
is the position of the last term and
is the difference.
Each variable is
Where we are gonna find the term number eight. So, replacing values, we have
Therefore, the term number eight is 6.5.
Answer:
A. y = 5/4x - 3
B. slope is 5/4
C. y intercept is -3
D. Increasing
Step-by-step explanation:
5x - 4y = 12
Slope intercept form: y = mx + b
4y = 5x - 12
y = 5/4x - 3
Slope is 5/4
Y intercept is when x = 0 so it is -3
the slope is positive, therefore the line is increasing
Answer:
Step-by-step explanation:
If a helicopter flies 312 miles against the wind in 2 hours, the speed of the helicopter in air is expressed as shown;
Speed = Distance/Time
Speed = 312miles/2hours
Speed = 156miles/hr
The speed of the helicopter against the wind is 156miles/hr
If it can fly 468 miles in the same amount of time, the speed during this time at this distance will be;
speed = 468 miles/2hours
Speed = 234miles/hr
The speed of the helicopter in still air = Speed while flying - Speed while against the wind
The speed of the helicopter in still air = 234miles/hr - 156miles/hr
The speed of the helicopter in still air = 78miles/hour