2(3j + 3) = 3(2 + 2j)

Answers

Answer 1

Answer:

infinitely many solutionsthe solution is any real number

[tex]\huge\boxed{j\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]2(3j+3)=3(2+2j)\qquad|\text{use the distributive property}\\\\(2)(3j)+(2)(3)=(3)(2)+(3)(2j)\\\\6j+6=6+6j\qquad|\text{subtract}\ 6j\ \text{from both sides}\\\\6=6\qquad\bold{TRUE}\\\\j\in\mathbb{R}[/tex]


Related Questions

Does -3/4 equal 3/(-4)?

Answers

Answer:

Yes

Step-by-step explanation:

When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.

What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)

Answers

The answer is:

Substitute 49 for x

49 + 14 = 63

Hope this helps!

Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

If there are 2.54 centimeters in an inch and 12 inches in a foot . How many centimeters are in 3 feet ?

Answers

Answer - 91.44

Step-by-step explanation:

3 feet = 36 inches

1 inch = 2.54 centimeters

2.54 x 36 = 91.44

Simplify the expression.
3(2+q)+15 simplified is

Answers

Answer:

3q+21

Step-by-step explanation:

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

3(2+q)+15

Distribute:

=(3)(2)+(3)(q)+15

=6+3q+15

Combine Like Terms:

=6+3q+15

=(3q)+(6+15)

=3q+21

PLEASE HELP!!! (20 POINTS)

Is it true that [20+(−1)0]0=1? Explain.
A.No, because the negative sign will cancel the values, resulting in zero.
B.Yes, because the negative sign will cancel the values, resulting in one.
C.No, because any number raised to the zero power is zero.
D.Yes, because any number, except zero, raised to the zero power is one.

Answers

It’s either b or d give me a moment to get the positive answer

Help me please I need help on this

Answers

Answer:

1 lb

Step-by-step explanation:

Picked up 3/5 and 4/5.

Used 3/8.

Amount now:

3/5 + 4/5 - 3/8 =

= 7/5 - 3/8

= 56/40 - 15/40

= 41/40

Answer: 1 lb

Yes sirrr. 1 pound.

Find the missing side ?

Answers

Answer:

37

Step-by-step explanation:

Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,390.49 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?

Answers

Answer:

The original price of the lawnmower is $ 1,528.

Step-by-step explanation:

If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:

100 - 9 = 91

91 = 1,390.49

100 = X

(100 x 1,390.49) / 91 = X

139.049 / 91 = X

1.528 = X

Thus, the original price of the lawnmower is $ 1,528.

degree of precision 15.68 x 1.1

Answers

Answer:

15.68×1.1 = 17.248 so if we see then it has 5 sig figs

the perimeter of the ussoscales triangle is 48cm calculate the length of BC​

Answers

Answer:

where is the pic............

we need the pic 2 answer your question sir

An electrician charges (1) an initial fee of $20 and then $30 per hour. What type of graph does this represent?
an increasing only graph
a decreasing only graph
an increasing and decreasing graph

Answers

Answer:

this is an increasing graph. of y = 30x + b

Step-by-step explanation:

since all that is happening is that people are adding money, the graph just goes up and up

What's the answer to
2(-8+5)+6

Answers

Answer:0,zero

Step-by-step explanation: 2(-8+5)+6

first we do the equation in the parentheses (PEMDAS) which equals -8+5=-3

-3 times 2=-6+6=0

can someone hep me with this

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Help with what ?you have to give us the question that u need help with

what does pie mean. does it mean this

Answers

pie is 3.14..... if your talking about it in the sense of math

Find - square root 36
A.+6
B.-6
C.6
D.18
Help the I

Answers

Answer:

A.

Step-by-step explanation:

what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4

Answers

Answer:

We conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=4^x[/tex]

Determining the domain:

The domain of a function is the set of input values for which the function is real and defined.

It is clear that the given function has no undefined points nor domain constraints.

Therefore, the domain is: -∞ < x < ∞

Thus,

[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

The range is the set of values of the dependent variable for which a function is defined.

We know that the range of an exponential function of the form

[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]

[tex]k=0[/tex]

In other words, the range is all positive real numbers.

Thus,

[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Therefore, we conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Help me with this plz!?!? I will mark brainliest!!!

Answers

If the temp is 12f and changes by -26f
Is 38f

Solve for x. Round to the nearest hundredth. ?!?!? Please HELPP ASAP

Answers

I really don't know this I'm so sorry

Answer:

14

Step-by-step explanation:

Well, a right triangle has a total of 90 degrees, if the hypotenuse is 22, and leg b is 54, then the remaining leg a would have to be 14.

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

Answers

Answer:

  x=16

Step-by-step explanation:

A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?

Answers

multiply 32 x 16 and you get 512 m.p.s

help been out of school so long don't remember how to do this !​

Answers

Answer:

2,1

Step-by-step explanation:

Find where both lines meet. Then the x coordinate comes first then the y .

C. (2,1) because that’s where both lines intersect

(Find the distance between each of the following complex numbers. Give your answers in simplified radical form, and show all your work.)

1.) -1+i and -3-4i
2.) 1+i and 7-2i
3.) -3+4i and -6-i
4.) -2+3i and 2-2i
5.) 3 and 5+i
6.) -4+5i and 2-i

Thank you!

Answers

Answer:

I) √29

ii) 3√5

iii) 5√5

iv) √41

v) √5

vi) 6√2

Step-by-step explanation:

1)

Given complex numbers    -1+i and -3-4i

The points are ( -1 , 1) and (-3 , -4 )

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]

2)

Given complex numbers    1+i and 7-2i

The points are ( -3,4) and (-6,-1)

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]

3)

Given complex numbers   -3 +4i and -6-i

The points are ( -3 ,4 ) and (-6 ,-1)

[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]

4)

Given complex numbers are -2+3i and 2-2i

The points are ( -2 ,3) and (2 , -2)

[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]



5)

Given complex numbers are 3 and 5+i

The points are( 3,0) and (5,1)

[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]



6)

Given complex numbers are -4+5i and 2-i

The points are ( -4 ,5) and ( 2,-1)

[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]



big points.
if x amount of people report this question, and it gets removed in 1 minute, and when 2x amount of people report this question, it gets removed in thirty seconds, writes a linear equation with y being how quickly it is removed, and x being people reporting it.

#forthememe
(it would be very ironic if this question was reported

Answers

Answer:

Y= 60 seconds divided by X

This is exponential, if x were 1 , Y' d. be 60 seconds. X=2, Y= 60/2 = 30.

Step-by-step explanation:

LIKE UR MEME

Y =60 second and he dhhehehr

Find the distance across the bridge

Answers

Answer:

32.5 ft

Step-by-step explanation:

Answer:160

Step-by-step explanation:

I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge

answers please this is very hard :))

Answers

Answer:

1. you dont add before you multiply

2 they didnt do the parenthesis first...which was their mistake

Step-by-step explanation:

PEMDAS that should help lol

Q. There are 42 teachers that work in a school. On Friday, 29 teachers were present What
percent of the teachers showed up for work?

Answers

Answer:

69%

Step-by-step explanation:

A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?

–2.67
–1.67
1.67
2.67

Answers

Answer:2.66

Step-by-step explanation:

The z-score for this delivery time is 2.67

What is z-score?

A z-score is defined as the fractional representation of data point to the mean using standard deviations.

Given,

Restaurant delivers orders within 30 minutes

The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27

One particular order delivery took 35 minutes(X)= 35

ц = 27

σ = 3

X = 35

z-score = (X-ц )/σ

Substitute the values,

z-score =  (35-27 )/3

z-score = 8/3

z-score = 2.67

Hence, the z-score for this delivery time is 2.67.

Learn more about z-score

https://brainly.com/question/13793746

#SPJ2

Help me please, which postulate proves these two triangles are congruent?

Answers

Answer:

C

Step-by-step explanation:

These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.

I hope this helps! :)

How do you write 7/10 as a percentage? ​

Answers

Answer:

70%

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

what is the standard form of this expression?

(3x+4)(x-8)​

Answers

Answer:

Step-by-step explanation:

(3x + 4) (x - 8)

3x2 - 8x + 4x - 32

3x2 - 4x - 32

Option B is the correct answer

Answer:

3x2 − 20x − 32

Step-by-step explanation:

Plato answer

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