Step-by-step explanation:
so what you need to do is answer the questions with () and then do the other part
The perimeter of a triangle is when u add all of the sides together
(8x - 7w) + (2x + 6y) + (3y + 5w) =
10x + 9y - 2w is ur perimeter
8w + 12x - 9y
8w + 12x - 9y
8w + 12x + 5y
8w + 12x - 9y
the 1st, 2nd, and 4th answer choices are the same....so 3 of them are equal
Answer:
(a) ![w=2+5i-6=-4+5i](https://tex.z-dn.net/?f=w%3D2%2B5i-6%3D-4%2B5i)
Multiplicative inverse of w will be ![\frac{1}{-4+5i}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B-4%2B5i%7D)
(B) As w is same as the product of ![z_1\ and\ z_2](https://tex.z-dn.net/?f=z_1%5C%20and%5C%20z_2)
So there multiplicative inverse will also be same
Step-by-step explanation:
We have given two complex numbers
and ![z_2=3+2i](https://tex.z-dn.net/?f=z_2%3D3%2B2i)
(a) First we have to find ![w=z_1z_2](https://tex.z-dn.net/?f=w%3Dz_1z_2)
So ![w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2](https://tex.z-dn.net/?f=w%3D%281%2Bi%29%282%2B3i%29%3D2%2B3i%2B2i%2B6i%5E2%3D2%2B5i%2B6i%5E2)
As we know that ![i^2=-1](https://tex.z-dn.net/?f=i%5E2%3D-1)
So ![w=2+5i-6=-4+5i](https://tex.z-dn.net/?f=w%3D2%2B5i-6%3D-4%2B5i)
Multiplicative inverse :
It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1
So multiplicative inverse of w will be ![\frac{1}{-4+5i}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B-4%2B5i%7D)
Because when we multiply
with
it gives result as 1
(b) As w is same as the product of ![z_1\ and\ z_2](https://tex.z-dn.net/?f=z_1%5C%20and%5C%20z_2)
So there multiplicative inverse will also be same
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
Answer:
D
Step-by-step explanation:
One number will be positive, and one will be negative