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
enot [183]
3 years ago
8

Express each of the following in a+bi form. a)(2 +5i)+(4 +3i)b)(−1+2i) − (4 − 3i)c)(5+3i)(3 +5i)d)(1 +i)(2 − 3i) +3i(1− i) − i

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

a 6+ 8i

b -5 + 5i

c 34i

d 8 + i

Step-by-step explanation:

<h3>a)(2 +5i)+(4 +3i)</h3>

<em>Add them together  </em>6 + 8i

<h3>b)(−1+2i) − (4 − 3i)</h3>

<em>Add them together </em>-5 + 5i

<h3>c)(5+3i)(3 +5i)</h3>

<em>Multiply it out</em>  15 + 25i + 9i + 15i^{2}

<em>Add them together (i^{2} = the number times -1) </em> 34i

<h3>d)(1 +i)(2 − 3i) +3i(1− i) − i</h3>

<em>Multiply it out</em>  (2 - 3i + 2i - 3i^{2}) + (3i - 3i^{2}) - i

<em>Add what is in the parenthesis together (i^{2} = the number times -1) </em>(5 - i) + (3 + 3i) - i

<em>Add them together </em>8 + i

You might be interested in
How can I learn to do standard notation and scientific notation?
jonny [76]
Just watch videos on youtube.
5 0
3 years ago
Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30
sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0
1 year ago
A football is punted and follows a path from the line of scrimmage similar to the quadratic equation: y= -¹⁄₂₀ (x-25)² + 30 wher
cluponka [151]
Do it on a Calculator just type it in
8 0
3 years ago
Find the value of b.
Naya [18.7K]

Step-by-step explanation:

The value of b will be 43° as it is vertically opposite angle.. !!

6 0
2 years ago
Read 2 more answers
The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?
JulsSmile [24]
<span> Let x be the smaller number.
Then 3x is the larger number.
We also know that the smaller added to the larger is 52, or:
x + 3x = 52
4x =52
x = 13
Therefore the smaller is 13, the larger is 3(13)=39. </span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • 6 + 2x = 24
    13·1 answer
  • GIVE CROWN FOR ANSWER BEING TIMED NEED THIS
    7·1 answer
  • Solve the system -x - 2y = -11 and 9x + 8y = 19 by combining the equations​
    14·1 answer
  • What is x+1/5y=-6 in slope intercept form? Please answer quickly
    8·1 answer
  • Pls help giving brainliest ty ty ty
    10·1 answer
  • Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
    14·1 answer
  • Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
    14·2 answers
  • Ron spent $20 on a shirt and $35 on a pair of pants. He had $45 left when he finished shopping, how much money did he have befor
    11·1 answer
  • Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.
    13·1 answer
  • 5n + 34 = -2 ( 1 - 7n)<br>this is due by midnight.<br><br>NO LINKS PLEASE!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!