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

In direct variation, the constant of variation has the same
value as which of the following.
A. The y-intercept of its line
B. The X - intercept of its line
C. The slope of the line
D. The absolute value of the slope
of the line

Answers

Answer:

c. the slope of the line

Step-by-step explanation:

because i just know

The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where m is slope of line

c is the y - intercept

Given is the direct variation of a quantity.

The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -

y = mx + c

for y - intercept = [c] = 0, we can write -

y = mx

m = y/x

which is the representation of direct variation.

Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

To solve more questions on direct variation, visit the link below-

https://brainly.com/question/14254277

#SPJ2

what is the value of x when
5x+20=6x+35

Answers

Answer:

x=15 or 15=x hope this helps

5x+20=6x+35
5x=6x+15
-1x=15
X=-15

Which expression is equivalent to sin(1.8x) sin(0.5x)

Answers

Answer: 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

Hey there!

In trigonometry which relates the sides and angles of the triangle, there is an identity which states that,

                    (sinA) (sinB) = 0.5(cos (A − B) − cos (A + B) )

In this item, our A and B are 1.8x and 0.5x, respectively.  

Substituting,

                  sin(1.8x)sin(0.5x) = 0.5(cos (1.8x − 0.5x) - cos(1.8x + 0.5x))

                  sin(1.8x)sin(0.5x) = 0.5(cos 1.3x − cos 2.3 x)

~I hope I helped you! :)~

Answer:

It is C. 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

I just took the test on PLATO

Solve |t| - 2= -1
A. -1, 3
B. -1, 1
C. -3, 3
D. -3, 1

Answers

Answer:

B

hope this helps :D

 

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)

Step-by-step explanation:

Answer:

(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)

Step-by-step explanation:

it is the first option because you multiply the 5 by the 3 so it becomes 7 to the 15th power

factor the equation 25x^2+70x+49

Answers

Answer:

(5x+7)^2

hope this helps

Can someone help me with the equation please?

Answers

Answer:

6 shirts

Step-by-step explanation:

she spent 56 in total

56-20 for the pants

36 left and she bought 6 shirts

36 divided by 6

6

Solve

9x - 19 = 2x - 5

Answers

X=-2
Subtract the 2x from both sides and get 7x-19=-5 and then add 19 to both sides and you get 7x=-14 divide by 7 and x=-2

Answer:

x=2

Step-by-step explanation:

Find m angle Y
(6x – 23)

(4х + 9)

m angle Y = ?
a
54
b
34
C
73
d
16

Answers

Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

Learn more about triangles here:

https://brainly.com/question/25950519

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The temperature dropped a total of 4 ° F over an 8 hour period. What was the hourly temperature drop?​

Answers

Answer:

.5 degrees F per hour.

Step-by-step explanation:

In ΔBCD, \overline{BD} BD is extended through point D to point E, \text{m}\angle CDE = (9x-12)^{\circ}m∠CDE=(9x−12) ∘ , \text{m}\angle BCD = (2x+3)^{\circ}m∠BCD=(2x+3) ∘ , and \text{m}\angle DBC = (3x+5)^{\circ}m∠DBC=(3x+5) ∘ . Find \text{m}\angle BCD.M∠BCD.

Answers

Answer:

Angle BCD is 13 degrees

Step-by-step explanation:

Here, we want to find the measure of angle BCD

To get this, we need an appropriate diagram. The diagram can be seen in the attachment.

To find the value of BCD, we can use an important triangle theorem.

This is that the sum of opposite interior angles of a triangle equals the exterior angle.

Thus, we have that;

BCD + DBC = CDE

hence;

3x + 5 + 2x + 3 = 9x-12

5x + 8 = 9x -12

9x-5x = 8 + 12

4x = 20

x = 20/4

x = 5

So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13

Answer:

13°

Step-by-step explanation:

just solved on delta math

⚠️⚠️⚠️⚠️⚠️⚠️⚠️
- WHATS THE NEGATIVE SLOPE??
- FIND M’S SLOPE
PLEASEEESWEEEEEEEEEEE⚠️

Answers

Answer:

Question 1: The negative slope is line j.

Question 2: M's Slope is 1/2.

Step-by-step explanation:

Question 1:

Way 1:

The negative slope is line j because it moves from left to right where the y points decrease while x is increasing.

Way 2:

Finding the slope also finds if it has a negative or a positive slope.

Line j has points (-1,3) and (0,0).

To solve for slope, you have to do (y2-y1)/(x2-x1).  

To substitute the values, it gets to (0-3)/(0-(-1)).

To simplify that, it gets to -3/(0+1) which equals to -3/1. -3/1 in other words is -3.

Since the slope is a negative number, it has a negative slope.

Question 2:

To find the slope of line m, you have to find two points first.

The two points there are is (4,2) and (0,0).

Then you have to use the equation (y2-y1)/(x2-x1).

Once you find the numbers, you plug it into the equation getting (0-2)/(0-4).

To simplify that it gets to -2/-4. That equals -1/-2 once simplifying the fraction.

Since there are negatives in both numerator and denominator, the negative sign gets removed and it becomes 1/2.

Therefore, the slope for line M is 1/2.

2x + 7 = - 4x + 11
what’s the answer?

Answers

Answer:x=2/3

Step-by-step explanation:

Write an expression for the nth term of...
2,1,0,-1...

Answers

Answer:

[tex]a_{n}[/tex] = 3 - n

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

1 - 2 = 0 - 1 = - 1 - 0 = - 1

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 1 , thus

[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n

If y varies directly as x and y = 8 when x = 2, then does y = 3 when x = 12

Answers

Answer:

the initial statement is

y

x

to convert to an equation multiply by k the constant

of variation

y

=

k

x

to find k use the given condition

y

=

3

when

x

=

2

y

=

k

x

k

=

y

x

=

3

2

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

y

=

3

2

x

2

2

−−−−−−−−−−−−

when

x

=

8

then

y

=

3

2

1

×

8

4

=

3

×

4

=

12

Step-by-step explanation:

Question 2: A line includes the points (20, 18) and (15, 13). What is its equation in
slope-intercept form?
y =

Answers

Answer:y=x

Step-by-step explanation: 13-18=-5

15-20=-5

-5/-5=1 slope

Using point slope take the first point and that slope to find the slope intercept.

Y-18=1(x-20)

Y=x-2

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

HELP tHIS IS TIMED
what is the degree of 4a^5b^2+2ab^3

A - 5

B - 7

C - 10

D - 11

Answers

Answer:

Your answer is: 7

The degree of the equation is 7.

Step-by-step explanation:

Hope this helped : )

Answer: 7

Step-by-step explanation:

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

4a^5b^2  >> 7

2ab^3 >> 4

The largest exponent is the degree of the polynomial

7

(28 POINTS) write the next three terms in the sequence.

Answers

Answer:

25, 34, 43

Step-by-step explanation:

its +9 per number

Can you combine the terms 8x +5y? Explain.

Answers

no, they have different variables

Answer:

Step-by-step explanation:

You can becuase 8 and 5=13 and then x and y equeal to somthing do yeah it’s right

34(3x+6)−14(5x−24) =

Answers

Answer:

32x+540

Step-by-step explanation:

Answer:

32x + 540

Step-by-step explanation:

1. Solve the multiplication:

102x +204 - 70x + 336

2.Simplify

32x + 540

Answer QUICK!! I’ll give tahnks and points

Answers

The answer is bbbb......

plsss answer pic below

Answers

it’s 65° because if you look at the angel next to it it’s the same size as angel X

Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. David's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $20.06 per week. After 8 weeks, he had $122.46 in the account. What was the balance when the account went into overdraft?

Answers

Answer:

The balance when the account went into overdraft was -38.02

Step-by-step explanation:

Let x be the balance when the account went into overdraft

To get back to a positive balance he deposited money at a steady rate of $20.06 per week.

Amount deposited per week = $20.06

Amount deposited 8 weeks = [tex]20.06 \times 8 =160.48[/tex]

Now amount in account after 8 weeks =x+160.48

We are given that After 8 weeks, he had $122.46 in the account.

So,x+160.48=122.46

x=122.46-160.48

x=-38.02

Hence The balance when the account went into overdraft was -38.02

Rewrite the equation 2y - 4x = 10 in function notation where f(x)= y.
f(x)=

Answers

Answer:

Answer:

f(x) = 5 + 2x

y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.

Answer:

f(x) = 5 + 2x

Step-by-step explanation:

2y - 4x = 10

     +4x    +4x

2y = 10 + 4x

Now we have a new equation but we have to isolate the variable y.

[tex]\frac{2y}{2}[/tex]  = [tex]\frac{10 + 4x}{2}[/tex]  Then divide to solve for y.

y = 5 + 2x

Since f(x) is the same thing/equal to y we can just replace that.

f(x) = 5 + 2x

Hope that helps and have a great day!

NEED HELP IM BEGGING YOU PLEASE!!!!!!!!!!!!!

Answers

Answer:

No

Step-by-step explanation:

-3 is supposed to be the answer for b so let's substitute -3 for b.

5(-3)+1=16

-15+1≠16

-15+1 is actually equal to -14

if the -3 would have been positive then it would be correct

PLEASE LOOK AT THE IMAGE ATTACHED ITS VERY IMPORTANT

Answers

Answer:

Step-by-step explanation:

So, you wanna be a master?

Do you have the skills to be number 1?

(If not, I'll help you lol)

Okay, let's define what a circumference is.

Circumference - The entire outside of a circle, think of it as the "perimeter" of the circle, like how there is a perimeter for a triangle or square.

The equation for finding the circumference is as follows:

[tex]2\pi r[/tex]

r - the radius, or half-way line is a circle.

So, you see the number thats on a half way line in the circle? That is the radius. All you have to do is plug in that number into the equation (for r), and you get the answer.

#3

r = 15

[tex]2\pi (15) = 30\pi \\[/tex]

Now use a calculator and type in 30, then times it by pi (which is this symbol: [tex]\pi[/tex])

Circumference = 94.248

#4

r = 10

[tex]2\pi (10) = 20\pi \\[/tex]

Circumference = 62.832

The number of girls in a class varies directly with the number of boys in the class. If a class contains seven boys and 21 girls, how many girls are in a class with 11 boys?

Answers

Answer:

17

Step-by-step explanation:

From a ledge on rock wall, George climbs 30 feet. From there, he climbs-30 feet. What conclusion can you draw?

Answers

Answer:

back where he started

Step-by-step explanation:

First he went up 30 feet.

Then he went -30 feet.

Meaning that he went up the went back down.

Which is basically 30-30

I think that should be right.

A. It has reflectional symmetry with one line of symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has no reflectional symmetry.
D. It has rotational symmetry with an angle of rotation of 60°.
NEED HELP!​

Answers

I believe it is D !
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