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!!)
Answers
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
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:
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
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:
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:
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
what is the value of x when
5x+20=6x+35
Answers
Answer:
x=15 or 15=x hope this helps
5x=6x+15
-1x=15
X=-15
(28 POINTS) write the next three terms in the sequence.
Answers
Answer:
25, 34, 43
Step-by-step explanation:
its +9 per number
Solve
9x - 19 = 2x - 5
Answers
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:
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
⚠️⚠️⚠️⚠️⚠️⚠️⚠️
- 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.
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
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
2x + 7 = - 4x + 11
what’s the answer?
Answers
Answer:x=2/3
Step-by-step explanation:
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!
factor the equation 25x^2+70x+49
Answers
Answer:
(5x+7)^2hope this helps
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
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plsss answer pic below
Answers
Answer QUICK!! I’ll give tahnks and points
Answers
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
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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Solve |t| - 2= -1
A. -1, 3
B. -1, 1
C. -3, 3
D. -3, 1
Answers
Answer:
B
hope this helps :D
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
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
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.
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
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
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
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
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!