Simplify the expression below as much as possible. (7-i) + (5+3i) - (-3 +2i)

Answers

Answer 1

The simplified expression is 15 + 2i.

To simplify the expression (7 - i) + (5 + 3i) - (-3 + 2i), we can combine like terms. First, let's remove the parentheses: 7 - i + 5 + 3i - (-3 + 2i)Next, distribute the negative sign to the terms inside the parentheses: 7 - i + 5 + 3i + 3 - 2iNow, let's combine the real parts and the imaginary parts separately: (7 + 5 + 3) + (-i + 3i - 2i)Simplifying further: 15 + 2iTherefore, the simplified expression is 15 + 2i.

In conclusion, the simplified expression (7 - i) + (5 + 3i) - (-3 + 2i) simplifies to 15 + 2i.

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Related Questions

What is the perimeter of the larger triangle?

Answers

Answer:

20 feet

Step-by-step explanation:

Since the given side on the first triangle is 6 feet, and the corresponding side on the second triangle is 8 feet, the second triangle will have a perimeter 8/6 times the length of the first triangle. Multiply 15 by 8/6:

15*(8/6)=

15*8/6=

120/6=

20

lmk if im wrong, hope this helps :)

It’s about 20 just divide just look at the smaller one and compare it

Which statement is true about all cylinders?


The height is a vertical distance

The diameter of a base is less than the height.

The radii of both bases are the same.

The area of a base is greater than 1 square unit.

Answers

Answer: The radii of both bases are the same

Hope this helps ;)

Answer:

C. The radii of both bases are the same.

Step-by-step explanation:

A church group ordered a total of 22
drinks and burgers. Each drink cost
$2.50, and each burger cost $6.25. If the
group spent a total of $92.50, how many
burgers did the group purchase?


Please help

Answers

Answer:

14.8 or round up to 15 burgers

Step-by-step explanation:

i need help for all of them please!

Answers

Answer:

pls give brainlist

Step-by-step explanation:

definitions

complement: either of two angles whose sum is 90°.

supplement: either of two angles whose sum is 180°.

i took a pic for problems 3-8, IM NOT A BOT.

A chainsaw needs a 50:1 gas:oil ratio, how much oil do you need if you add 3 gallons of gas? no links!! links will be reported​

Answers

Answer:

3/50 of a gallon

Step-by-step explanation:

50 / 1 = 3 / x

cross-multiply:

50x = 3

x = 3/50

2 positive integers have hcf of 12 and their product as 6336 number of pairs possible for the number is​

Answers

Answer:

Here, we are given two positive numbers having HCF as 12 and their product as 6336. ... Hence, we get two pairs of numbers, (12 and 528) and (48 and 132). Therefore, the correct answer is option A.

what is the slope of the graph of y= -5/3x + 3/4

Answers

Answer:

slope = - [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{5}{3}[/tex] x + [tex]\frac{3}{4}[/tex] ← is in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Anybody know the answer

Answers

Answer:

ur steps would be 9*1*9  = 9^3

Step-by-step explanation:

Any number in the power of 0 = 1

Answer:

9^4

Step-by-step explanation:

Let's review the equation:

9 · 9^0 · 9^3

Anything to the power of 0 is equal to one, so 9^0 is one

That leaves us with 9 · 1 · 9^3

9 · 1 = 9

9^1 · 9^3 = 9^4

so..

9 · 9^3

square root 7 squared

Answers

Answer:

the square root of 7 squared is 7 since the square roots cancels the square

due in 10 mins, pls help !​

Answers

Answer:

3rd one

Step-by-step explanation:

The side of polygone have length 5,7,8,11&9, the perimeter of similar polygone is 75cm ,finde the length of the side of large polygon?

Answers

Answer:

The side lengths of the larger polygon are;

15 cm

20.625 cm

16.875 cm

9.375 cm

13.125 cm

Step-by-step explanation:

Firstly, we need to calculate the perimeter of the first polygon

Mathematically, we can get this by adding the side lengths together

We have this as;

5 + 7 + 8 + 11 + 9

= 40 cm

so we have the ratio of the lengths of both as;

75 cm/40 cm = 1.875

Now, we simply will multiply the lengths of the smaller polygon by 1.875

So we have the side lengths of the bigger polygon as;

1.875 * 5 = 9.375 cm

1.875 * 7 = 13.125 cm

1.875 * 8 = 15 cm

1.875 * 9 = 16.875 cm

1.875 * 11 = 20.625 cm

LT1 10th grade level. How tall I’d the building?

Answers

Answer: 99.2 m

Step-by-step explanation:

Given

The height of the flagpole is 35 m which is situated at 60 m

It is clear that the angle of elevation for the flagpole and building is the same, let say [tex]\theta[/tex]

from the figure, we can write

[tex]\Rightarrow \tan \theta=\dfrac{35}{60}=\dfrac{h}{170}\\\\\Rightarrow h=170\times \dfrac{35}{60}\\\\\Rightarrow h=99.166\approx 99.2\ m[/tex]

Thus, the height of building is 99.2 m

Which of the following are coefficient

Answers

Answer:

2 and -3

Step-by-step explanation:

because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

so in 2x-3y+5, 2 and -3 are the coefficients.

Miguel is posting photos on a school website. He has 48 photos. And he is allowed to use 12 pages.He wants to put the same number of photos,P,on eaxh page

Answers

Answer:

4

Step-by-step explanation:

48/12 to get how many in each page

1. What is the volume, in cubic centimeters, of the sphere shown below? Use 3.14
for Pi

Answers

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = [tex]\frac{4}3}[/tex][tex]\pi r^3[/tex]

= 4 * 3.14 * 3 * 3 *3 / 3

=  4 * 28.26

= 113.04 cm³

Two angles, m • The m ABC is 54°
• The m JKL is (8x)".
What is the value of x?

Answers

Answer: 15.75°

Step-by-step explanation:

Supplementary angles simply refers to the angles that add up to 180°. The angles given in this case are 54° and 8x.

To find the value of x goes thus:

54° + 8x = 180°

8x = 180° - 54°

8x = 126°

x = 126°/8

x = 15.75°

Therefore the value of x is 15.75°

Choose the equation of the graphed function

Answers

Answer:

The answer is c

Hope this helped :)

1. Choose the appropriate symbol to make the following statment true. 0.586_0.568
a. =
b. >
c.<
d. none​

Answers

Answer:

>

Step-by-step explanation:

You want to make a equation so it would be 5/8 + 2/8

Answers

Answer:

(random name) drinks 3/8 of the lemonade then later drinks 6/8 of the cranberry juice before (random name) goes to bed they put the lemonade and the cranberry juice together. How much is in the cup now?

Step-by-step explanation:

Grayson ran 2 1/2 miles around the track .each lap is 5/6 of a mile .how many laps did Grayson run?

Answers

Given:

Number of miles covered = [tex]2\dfrac{1}{2}[/tex]

Length of each lap = [tex]\dfrac{5}{6}[/tex] of a mile.

To find:

The number of laps.

Solution:

We know that,

[tex]\text{Number of laps}=\dfrac{\text{Number of miles covered}}{\text{Length of each lap}}[/tex]

[tex]\text{Number of laps}=\dfrac{2\dfrac{1}{2}}{\dfrac{5}{6}}[/tex]

[tex]\text{Number of laps}=\dfrac{\dfrac{5}{2}}{\dfrac{5}{6}}[/tex]

[tex]\text{Number of laps}=\dfrac{5}{2}\times \dfrac{6}{5}[/tex]

[tex]\text{Number of laps}=3[/tex]

Therefore, Grayson ran 3 laps.

PLEASE HELP IM TIMED ON THIS!!!!!

After simplifying, what will x be equivalent to?
(a^4)^4=a^x

Answers

X= 16 is the answer for it

A culture of bacteria has an initial population of 72000 bacteria and doubles every 10
hours. Using the formula P = Po - 2 å, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 17 hours, to the nearest whole number?

Answers

Answer: 233928.6902 ≈ 233929

Step-by-step explanation:

how do you write 15/60 as a percent

Answers

Answer:

25%

Step-by-step explanation:

Answer:

15/60 as a percentage is 25%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form. Now we can see that our fraction is 25/100, which means that 15/60 as a percentage is 25%. And there you have it!

GEOMETRY 10TH GRADE NEED HELP ASAP

Answers

[tex] \boxed{(6, -3)} [/tex]

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].

(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].

(26, -13) → [tex] (x_{2}, y_{2}) [/tex].

Let 5 be n, and 3 be m.

5:3 → n:m

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →

[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →

[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →

[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →

[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →

[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]

[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]

[tex] (6, -3) [/tex].

Thus the coordinates of B are:

[tex] \boxed{(6, -3)} [/tex]

Answer:

Step-by-step explanation:

AB:BC::5:3

let the coordinates be (x,y)

[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]

coordinates of B are (14,3)

Can you pls explain why too

Answers

Answer: C / 100 units^2

Step-by-step explanation:

The equation to calculate the area of a rhombus is

[tex]Area = \frac{ab}{2}[/tex]

In the picture, you are given a & b.

a equals the entire vertical line. So 5 + 5 = 10. 10 is a

b equals the entire horizontal line. So 10 + 10 = 20. 20 is b.

According to the equation you multiply a times b.

[tex]Area = \frac{(10)(20)}{2}[/tex]   10 x 20 = 200

200 divided by 2 equals 100

so the areas = 100

What is the value of x in this equation?


-4x + 8 = 42

Answers

Answer:

-4x+8=42

-4x+8-8=42-8

-4x=34

-4x/-4=34/-4

x = -8.5

1. When the outcome of one even has NO effect on the outcome of the other is called... A. likely events
B. dependent events
C. independent events
2.Lucy picks a marble at random. Without putting the first marble back, Lucy picks another marble at random. This is called...
A. independent probability
B. random ratios
C. dependent probability
D. natural occurrence

3. A bag contains 9 green marbles and 12 pink marbles. One marble is chosen at random and returned to the bag. Then, a second marble is chosen at random.

What is the probability that both marbles chosen will be green?
A. 6/9
B. 9/49
C. 3/4
D. 81/122

Answers

Answer:

C

Step-by-step explanation:


Determine which data set best corresponds to the given scatter plot.

Answers

Answer:

Are there any options?

and it's not A)

so B)

Step-by-step explanation:

Complete the equation of the line through (-1, 6) and (7, -2).
Use exact numbers.

Answers

y=-1x+5
First find the slope with the points. (b2-b1)/(a2-a1) (-2-6)/(7-(-1)) which equals -8/8
Then find the solve for b
-2=-1(7)+b
-2=-7+b
5=b

find the valué of x and y

Answers

Answer:

× = 4.56 and y = 36.56

Step-by-step explanation:

Ayan sagot

Answer:

x=15.56    y=30.05

Step-by-step explanation:

SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse)

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