Mathematics High School

Reflect: You found that ( 3 + 4 x ) + ( 2 - x ) = 5 + 3x
Suppose x=i (the imaginary unit)
What equation do you get?
Answer must include words/explanations
(guys please help!!)

Reflect: You Found That ( 3 + 4 X ) + ( 2 - X ) = 5 + 3xSuppose X=i (the Imaginary Unit)What Equation

Answers

Answer 1

Answer:

We start with the equation:

(3 + 4x) + (2 -x) = 5 + 3x

Now we replace:

x = i

This is just changing all the "x"s in the equation by "i"s:

(3 + 4i) + (2 - i) = 5 + 3i

This can be viewed as 3 complex numbers:

z1 = 3 + 4i

z2 = 2 - i

z3 = 5 + 3i.

Now, let's check if equality remains true:

(3 + 4i) + (2 - i) = 5 + 3i

The first step is to use the associative and commutative properties to separate the real and imaginary parts.

(3 + 2) + (4i - i)

5 + (4 - 1)*i

5 + 3i

Then the equality remains true.

And this will be true always, for anything that we feed into the x in our initial equation:

(3 + 4x) + (2 -x) = 5 + 3x

This is because x is a variable, so it can be evaluated in any number, and the equality will still be true.

Related Questions

4 ( b - 1 ) = -4 + 4b

Answers

No solution I’m pretty sure

Answer:

[tex]4(b - 1) = - 4 + 4b \\ or \: 4b - 4 = - 4 + 4b \\ or \: 4b - 4b = - 4 + 4 \\ or \: 0 = 0 \\ \\ therefore \: the \: answer \: is \: \: 0.[/tex]

0 is the answer.......

Thank you ☺️

Describe what is happening in this graph.
Roller Skating

Answers

As time goes on the speed is changing

Answer:

The skater slows down, then gains speed quickly. The speed begins to slow until it becomes constant .

Step-by-step explanation: answer on edge

Tammy made a 6-ounce milkshake. Two-thirds of the milkshake was ice cream. How many ounces of ice cream did
Tammy use in the shake?

Answers

Answer: 4 ounces

Step-by-step explanation:

6 * (2/3) = 12/3 = 4 ounces

What is an equation in point slope form of the line that passes through (7, 1) and (-3,9)

Answers

Answer:

y= -4/5x+33/5

Step-by-step explanation:

for questions like these, the slope is always defined as the change in y over the change in x or use the equation m=y2-y1/x2-x1.

x1=7 and y1=1

x2=-3 and y2=9

now plug these numbers in to the equation. m= 9-1 / -3-7 Or m= 8/-10 simplified to m= -4/5

now that we have the slope you can plug it in to the equation y=mx+b and get y= -4/5 + b.

to find b, the y-intercept, you can use either of the two points and the answer will be the same. for this one, I'll use (7,1).

1= -4/5 x 7+b. b= 33/5

HOPE THIS HELPS!!

Margaret paid 1.37 with q quarters and $0.12 in other change.What is q?​

Answers

5 q is the answer Brainly says it need to be 20 characters long so

Slope of the points (0,-4) (2,-1)

Answers

Answer: 3/2 in decimal form it’s 1.5

3x + 10 = 5x
which situation can be represented by this equation? HELPPP

Answers

Answer:

X=5

Step-by-step explanation:

10=2x divided by 2 means x=5

Please help with this question, thank you.

Answers

Answer:

the conclusion is that AC and CB are equal distances because the midpoint is half of the line. hope this helps:)


PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((

Answers

Answer: -53 then -24 then 0 then 18

Step-by-step explanation:

whoever gets it right is going to get marked as brainiest

Answers

Answer:

1/4

Step-by-step explanation:

Given m||n, find the value of x.
+
m
1579

Answers

Answer:

157°

Step-by-step explanation:

X is the alternative angle or 157°

Hence, x=157°


The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
402, 394, 386,...
Find the 33rd term.

Answers

Answer:

138

Step-by-step explanation:

its going down by 8's

so 8 times 33=264

402-264=138

Answer:it’s actually 146 I just did it and got it wrong from the other persons answer

Step-by-step explanation:

It’s to much to right just trust me I’m not lying

Find the value of X in the triangle shown below.
Choose 1 answer:
A) x=6
B) x=8
C) x=15
D)x=34

Answers

It’s A. It maybe needs to be simillar

Answer:

It's D.

Step-by-step explanation:

7. The cost of a hotel room during Lacy's trip is
$325. The hotel room tax in the city she is in
is 10.5%. What is the total cost of the hotel
room? (Example 2)

Answers

355.95 I think I’m pretty sure that the answer I’m going with my gut

Answer:

355.95

Step-by-step explanation:

i am going with my heart that this is correct.

An object with a mass of 5.2 kg is dropped from a bridge. Using the force equation what will the force of the rock be when it hits the ground. Acceleration of Gravity is 9.81 m/s2

Answers

Answer:

[tex]f = mg = 5.2 \times 9.81 = 51.012 \: newtons[/tex]

Force of the rock be when it hits the ground is [tex]51.012[/tex] Newton.

What is a force?

Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction.

Given

An object with a mass of 5.2 kg is dropped from a bridge.

Acceleration of Gravity is 9.81 [tex]m/s^{2}[/tex]

Force equation what will the force of the rock be when it hits the ground

F = mg

F = [tex]5.2\times9.81[/tex]

F = [tex]51.012[/tex] Newton

Force of the rock be when it hits the ground is [tex]51.012[/tex] Newton.

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10s - 5 = 20


Value of s

Answers

Answer:

2.5

Step-by-step explanation:

10s-5=20

(add 5 to both sides)

10s=25

(divide both sides by 10)

s=2.5

Answer:

s = 2.5

Step-by-step explanation:

you need to figure out what multiplied by 10 will give you 25, because then you have to subtract 5 in the second part of the equation to get 20.

10 multiplied by 2.5 equals 25, so s = 2.5

Is this linear or not? Please explain how you got your answer.

Answers

Linear like they are mutiples of eachother bc if so then yes

they are multiples so yep

Martina begins a five at sea level. She dives down 20 feet, and then rises 7 feet. She dives again, going down 9 more feet. How far below sea level is Martina?

Answers

Answer:

22 feet below

Step-by-step explanation:

Total down 20+9=29Total up =7Net = 29-7=22feet

Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply.

AD bisects ∠BAC.
AD bisects BC.
AD forms right angles with BC.
AD is perpendicular to BC.
AD is the perpendicular bisector of BC.

Answers

Answer: AD bisects BC

AD forms right angles with BC

AD is the perpendicular bisector of BC

Step-by-step explanation:

Japanese 22 pirate for every two pirate ships he manages

Answers

Answer:

He should sell them he would be rich.

Step-by-step explanation:

The average sneeze can travel 3100 mile in 3 seconds. At this rate, how far can it travel in one minute? (3 seconds = 120 minute)

Answers

Answer:

20666.6?

Step-by-step explanation:

3100/3= 1033.33

1033.33*20

20666.6

Should waddle dee be in smash or should shrek

I WILL GIVE BRAINLIST TO WHO EVER ANSWERS FIRST

Answers

Answer:

shrek

Step-by-step explanation:

shrek is love shrek is life

What happens when the scale factor is less than 1? What happens when the scale factor is greater than 1?

Answers

Answer:

When the absolute value of the scale factor is lower than 1, it decreases the size of the shape.

When the absolute value of the scale factor is greater than 1, the shape will increase in size.

How to Remember it:

Think if the number is a fraction, the shape will be a fraction of the size.

which is the degree of 12x^4-8x+4x^2-3

Answers

Answer:

4 is the answear

Step-by-step explanation:

Write the standard form of the equation y-3=-2/3(x+5)

Answers

Answer:

In linear standard form, 10x-15y=29

Step-by-step explanation:

The solution is y = ( -2/3 )x - 1/3

The standard form of the equation y-3=-2/3(x+5) is given by the equation A

where y = ( -2/3 )x - 1/3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Now ,

y - 3 = -2 / 3 ( x + 5 )

Multiply by 3 on both sides of the equation , we get

3y - 9 = -2 ( x + 5 )

On simplifying the equation , we get

3y - 9 = -2x - 10

Adding 9 on both sides of the equation , we get

3y = -2x - 1

Divide by 3 on both sides of the equation , we get

y = ( -2/3 )x - 1/3

The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3

Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3

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A relation is (1 point)
the output (y) values of the relation
the input (x) values of the relation
a set of points that pair input values with output values
x and y values written in the form (x, y)

Answers

Answer:

a set of points that pair input values with output values

Step-by-step explanation:

The set of points that relate, input values with output values.

A relation is a set of points that pair input values with output values.

Therefore the correct option is C.

In mathematics, a relation is a set of ordered pairs, where each pair consists of an input value (x) and an output value (y) that are related to each other in some way.

These ordered pairs represent the relationship between the input and output values of the relation.

So, a relation can be represented as a set of points in the coordinate plane, where each point represents an ordered pair (x, y). The relation itself is not specifically the input (x) values or the output (y) values, but rather the collection of all the paired values.

Therefore the correct option is C.

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Which equation shows the ASSOCIATIVE property?

Question 3 options:

6 - 9 + 5 = 6 - (-9) + 5


(6 + (-9) + 5) = (6 + 5) + (-9)


-9 + (6 + 5) = -9 - 6 - 5


(6 + (-9)) + 5 = 6 + (-9 + 5)

Answers

I’m thinking it’s the second one. Correct if I’m wrong

Answer:

69............ I see 69

Step-by-step explanation:

Will give brainliest. :)

Answers

Answer:

b=20

a=14

I hope this helps!

a is 15,b is 9 do u understnd

Maria's dinner bill is $21.89 after tax. If she wants to leave a 15% tip, what will the total cost of the dinner be?
Please Answer

Answers

Answer:

Step-by-step explanation:

The answer would be, 25.17.

You need to multiple the total by 0.15 . Then add the answer to the total.

Answer:

$25.17

Step-by-step explanation:

$21.89 multiplied by 0.15 equals $3.28.

You then add the original bill to $3.28 which equals $25.17 for the total cost.

3. What is the measure of angle ABE?

Answers

Answer:

50°

Step-by-step explanation:

Both angles are congruent

Answer:

The measure of angle ABE is 50 degrees because it is a vertical angle to CBD.

Step-by-step explanation:

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