Simplify the expression (2 + 3i) + (3 – 5i).
o
A. 5- 2i
B. 5 + 2i
C. 5i + 15
D. 13
E. 3

Answers

Answer 1

Answer: A

Step-by-step explanation:

Treat the real and imaginary parts separately, then combine. Because it is addition,  not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).

2+3i+3-5i

2+3+3i-5i

5+ (-2i)

5-2i


Related Questions

Which choice is equivalent to the expression shown below-3(3y-2x)+2(5x-4y)

Answers

Answer:

17y+16x

Step-by-step explanation:

-9y+6x+10x-8y

=17y+16x

Joe spent 1 1/3 hours studying for his math test. Randy studied for the amount of time that Joe did. What fraction of a hour did Randy spend studying?​

Answers

Answer:

1 1/3

Step-by-step explanation:

Randy studied for the same amount of time so it would be the same answer im not sure if I'm correct but hope this helps

What is 2/3 to the 3rd power?

Answers

8/27 because 2^3 is 8 and 3^3 is 27

An angle measures 62.4° less than the measure of its complementary angle. What is the
measure of each angle?

Answers

Answer:

28

Step-by-step explanation:

So if it's a complementary angle is equals 90 degrees total. So subtract 62 from 90. 90-62=28

How many cents make 11 dimes

Answers

Answer:

110 pennies or us cents since we are thinking about the overall amount :)

Step-by-step explanation:

Answer:

0.10

Step-by-step explanation:

A farmer harvested 1,635 pounds of potatoes. She could buy either small bags that hold 10 pounds of potatoes, medium-sized bags that hold 12 pounds, or large bags that hold 25 pounds. She will use bags that are all the same size and must select one size only.

Which size bag should the farmer use to package the potatoes so the fewest pounds are left over after packaging

Answers

Answer:

She should buy the medium sized bags.

Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle. 11, 13, 25 acute right obtuse not a triangle

Answers

RESPUESTA: no es un triangulo

EXPRICACION

The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle so option (D) is correct.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180°.

For any triangle, the sum of any two sides must be greater than the then third side.

As per the given sides,  11, 13, 25

11 + 13 < 25

24 < 25 so it will not a triangle.

Hence "The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle".

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

Answers

Answer:

y= -2x +2

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

To find the value of m, use the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]

[tex]m = \frac{6 + 4}{ - 5} [/tex]

[tex]m = \frac{10}{ - 5} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).

y= -2x +c

When x= 3, y= -4,

-4= -2(3) +c

-4= -6 +c

c= -4 +6

c= 2

Thus, the equation of the line is y= -2x +2.

The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited 60 minutes or less?

A) 2 students

B) 4 students

C) 5 students

D) 9 students

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Answers

Answer:

D

Step-by-step explanation:

What is the Solution of the equation y=2x+3

Answers

Answer:

let X interchange y and vice versa

X= 2x+3

carry across +3

X-3=2X

carry across 2 (2X is 2 multiple by X when carried across the sign change to division)

so X-3 divided by 2 is = X

could be misinterpreting this question so I'm not entirely sure.

PLEASE HELP QUICK!!! Henry is going to invest in an account paying an interest rate of 4.3% compounded
continuously. How much would Henry need to invest, to the nearest dollar, for the
value of the account to reach $820 in 13 years?

Answers

Answer: P ≈ 469

Step-by-step explanation:

plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4​

Answers

Answer:

y = -3/4x -4

Step-by-step explanation:

Parallel slope = -3/4

(-4,-1)

y - y1 = m(x - x1)

y + 1 = -3/4(x + 4)

y + 1 = -3/4x - 3

y = -3/4x -4

Emma buys a house for £250000
She sells the house for £263750
Calculate the percentage profit Emma makes

Answers

Answer:

£13750

Step-by-step explanation:

263750- 250000 = 13750

Answer: 5.5%

Step-by-step explanation:

263750 - 250000 = 13750÷ 250000 = 0.055

Multiply by 100 = 5.5%

The United States Congress contains 435 representatives and 100 senators. You want to make groups that each have the same number of representatives and senators. What is the greatest number of groups you can make?

Answers

Answer:

5

Step-by-step explanation:

The greatest common factor of 435 and 100 is 5, so if you make 5 groups, each group will have 87 representatives and 20 senators.

What is the value of b?

Answers

The value of b should be 59

Joe travelled 60 miles in 1 hour 30 minutes.
Work out Joe's average speed.​

Answers

Answer:

1.5

Step-by-step explanation:

1hour and 30 mins = 90 mins

60miles:90mins  that is the ratio

90/60=1.5miles per minute

i think this is the right answer

pls let me know and i hope it helps

Please Help...........

Answers

Slope is m= y2- y1 / x2- x1.

Billy flipped both where the numbers go, and in which order they should be in.

It should be -5-5 / -2-2 giving you zero (0).

PLS HELP I'LL GIVE THE BRAINLEST
Select the correct graph
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles/hour. If x represents the time spent driving and y represents the distance from his aunt's house, which scatter plot could represent this situation?​

Answers

Answer: The graph on bottom right

Step-by-step explanation:

It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.

Answer:

top right

Step-by-step explanation:

sorry if wrong

Helpppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I will mark you brainliest
If i get the answer to this pleaseeeeeee
This is a important test i need to passs:(

Answers

Answer:

2.4.5675/625.92 i will help no f1

work out the volume of this hemisphere with diameter 9.6 cm

Answers

Answer:

Please refer to the attachment

Help until 10:15! consider the expression 40 + 24. find the greatest common factor of the two numbers, and rewrite the expression using the distributive property.

Answers

Answer:

8(5+3)

hope this helps

A builder has an 5-acre plot divided into 1 2 -acre home sites. How many 1 2 -acre home sites are there? please answer soon

Answers

Answer:

10

Step-by-step explanation:

5 divided by 1/2 is 10

List the area of each shape on the lines below. Then list the shapes in order from greatest to least.

Answers

Answer:4

Step-by-step explanation:

Find the measure of side b. Round to the nearest whole number.

Answers

9514 1404 393

Answer:

  143 m

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(33°) = b/(170 m)

  b = (170 m)cos(33°) ≈ 142.57 m

The measure of side b is about 143 meters.

The density, d, of an object can be found
by using the formula d -". where m is the
mass of the object and visits volume. What
is the density of an object that has a mass of
73,430 kilograms and a volume of 7 m??

Answers

73,430/7 = 10,490 hope it helps

y - 9.4 = 5.22
what is the value of y

Answers

Y = 14.62

You add 9.4 to 5.22 to isolate Y

Answer:

y=14.62

Step-by-step explanation:

Move the constant to the rightCalculate

A customer deposits $1275 in a savings account that pays 4% interest compounded quarterly. How much money will the customer have in the account after 2 years? (Round to the nearest cent-- 2 decimal places)

Answers

$13777.00

Step-by-step explanation:

Help pls someone help

Answers

Answer:

With what?? umm I dont see anythinggg

f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)

Answers

F(1) = 45

f(n) = f(n-1) * 4/5

Step-by-step explanation:

f(n) = 45 x (4/5)ⁿ⁻¹

f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45

f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²

f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹

Answer:

45

4/5

Step-by-step explanation:

khan academy

Find the measure of each exterior angle of a regular polygon in which the sum of the measures of the interior angles is 2,520 degrees.

Answers

Answer:

0 y+o+u+t+u+b+e

Step-by-step explanation:

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