1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elden [556K]
2 years ago
8

NEED HELP PLEASE!

Mathematics
1 answer:
USPshnik [31]2 years ago
5 0

Answer:

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

i^2 = -1

Square of the sum:

(x + y)^2 = x^2 + 2xy + y^2

In this question:

(x + (3+5i))^2

x^2 + 2x(3+5i) + (3+5i)^2

x^2 + 6x + 10xi + 9 + 30i + 25i^2

x^2 + 6x + 9 + (10x+30)i - 25

x^2 + 6x + (10x+30)i - 16

So

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

You might be interested in
Coefficiants of (2x+y)^4​
sattari [20]

By the binomial theorem,

(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

Then the coefficients of the x^{4-k}y^k terms in the expansion are, in order from k=0 to k=4,

\dbinom 402^{4-0}=1\cdot2^4=16

\dbinom412^{4-1}=4\cdot2^3=32

\dbinom422^{4-2}=6\cdot2^2=24

\dbinom432^{4-3}=4\cdot2^1=8

\dbinom442^{4-4}=1\cdot2^0=1

3 0
3 years ago
The product of a number and -3 increased by 8 is no less than 35
Tems11 [23]
-3x + is greater than or equal to 35

hope this helps!
8 0
2 years ago
What is the standard error of the sampling distribution of sample proportion?.
storchak [24]

Answer:

√ (p(1-p) / n)

Step-by-step explanation:

Standard Error(SE) of the Sample Proportion: √ (p(1-p) / n). Note: as the sample size increases, the standard error decreases.

<h3>---</h3>

Hope this helps you! Feel free to give feedback

5 0
1 year ago
JUAN SAYS, WHEN YOU PUT TOGETHER UNEQUAL GROUPS,YOU CAN ONLY ADD. IS HE CORRECT ? EXPLAIN.
Leno4ka [110]
If you treat multiplication as repeated a<span>ddition, then y</span>es, Juan is correct. Only equal groups can be multiplied.
5 0
3 years ago
Read 2 more answers
The length of a rectangle is twice the with. If the perimeter of the rectangle is 60 units, find the area of the garden
Darya [45]

w - width

2w - length

60 - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 60    <em>divide both sides by 6</em>

w = 10 → 2w = 2 · 10 = 20

The area: A = width × length

A = (10)(20) = 200

<h3>Answer: The area of the garden is equal 200 square units.</h3>
4 0
2 years ago
Other questions:
  • A piano manufacturer has a daily fixed cost of $1,800 and a marginal cost of $2,2000 per piano. Find the cost C(x) of manufactur
    5·1 answer
  • Determine the intercepts of the line Y=5x-13?
    10·1 answer
  • What is equal to 12/10
    14·2 answers
  • Ellie bought 0.7kg of jelly beans from her local food festival for £1.89. She knows that to work out the price of a whole kilogr
    11·1 answer
  • Please help I'm struggling.​
    8·1 answer
  • Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (We will ignore the
    9·1 answer
  • Is (0,0) a solution to 6x - 7y &gt; 20 please include the steps!
    5·2 answers
  • A car leaves Orlando, FL and travels east toward West Palm Beach. The
    8·2 answers
  • Kevin earns $5 per hour at an ice rink. Which graph best represents Kevin's total earnings over time?
    9·1 answer
  • Which statements are true? and whos down to talk?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!