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Sonbull [250]
3 years ago
9

Simplify each of the following: 2 1. (3+4i ) + ( 19 - 5i)

Mathematics
1 answer:
ira [324]3 years ago
6 0

I hope this helps you

(3+19)+(4i-5i)

22-i

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ValentinkaMS [17]

Idk if the dot is multiplication or sth else

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Plz help me well mark brainliest if correct,.........??
Oksanka [162]

Answer: A

Step-by-step explanation:

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3 years ago
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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm
navik [9.2K]

Answer:

(a) The value of s_z is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

a_0=3

d=-2

We need to find the value of s_z.

s_z=\sum_{n=0}^{n=z}(a+nd)

where, a is initial term and d is common difference.

s_z=\sum_{n=0}^{n=z}(3-2n)

The sum of an arithmetic sequence with  initial index 0 is

s_n=\frac{n+1}{2}[2a+nd]

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

s_z=\frac{z+1}{2}[2(3)+z(-2)]

s_z=\frac{z+1}{2}[2(3-z)]

s_z=(z+1)(3-z)

Therefore the value of s_z is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

a=7

The common difference of the sequence is

d=a_2-a_1\Rightarrow 4-7=-3

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

1+(-3)=1-3=-2

Therefore the next term in the sequence is -2.

3 0
3 years ago
Which ordered pair is a solution of the equation y=7x-3
Kruka [31]
Im pretty sure its (1, 4) if its wrong im so so sorry but I do think thats the awnser
5 0
3 years ago
One number is 7 more than another. The difference between their squares is 161. What are the numbers?
sergeinik [125]
X is 7 more than y
x>y then
difference betwen squares is 161 so


x=7+y
and
x²-y²=161

so
x=7+y
sub that for x in other equation

(7+y)²-y²=161
y²+14y+49-y²=161
14y+49=161
minus 49 both sides
14y=112
divide both sides by 14
y=8

sub back

x=7+y
x=7+8
x=15

the numbers are 15 and 8
3 0
3 years ago
Read 2 more answers
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