Answer:
The modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Step-by-step explanation:
Given the number
[tex]6-2i[/tex]
We know that
[tex]z = x + iy[/tex]
where x and y are real and [tex]\sqrt{-1}=i[/tex]
The modulus or absolute value of z is:
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
Therefore, the modulus of [tex]6-2i[/tex] will be:
[tex]z=6-2i[/tex]
[tex]z=6+(-2)i[/tex]
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]
[tex]=\sqrt{6^2+2^2}[/tex]
[tex]=\sqrt{36+4}[/tex]
[tex]=\sqrt{40}[/tex]
[tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{10}[/tex]
Therefore, the modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
A football team loses 6 yards on its first play. On the next play, the team gains 3 yards.
Which inequality(ies) compare(s) the yardage values correctly? Select ALL that apply.
0 -6> 3
0 -6<3
0 -6<-3
O 3<6
♡ 3-6
? 3<.6
Carl's grandfather is exactly 5 times older than Carl.
Which three statements must be true?
Answer:
g = 5c
5*c = g
g/5 = c
Step-by-step explanation:
g = grandfather
c = carl
Answer:
The age of Carl's grandfather is a composite number.
Carl's age is a factor of the age of his grandfather.
The number 5 is a factor of the age of Carl's grandfather.
The sum of ten consecutive whole even numbers is 1190
Answer:In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616, we can rewrite them asn=2k→10=2(5)
n = 2k\, \to \,\,16 = 2\left( 8 \right)\,n=2k→16=2(8)
Step-by-step explanation:
Consecutive Even Integers
The best way to illustrate what consecutive even integers are through the use of examples. Observe that any pair of two consecutive even integers are 22 units apart. In other words, if you pick any even integer in the set of consecutive even integers then subtract it by the previous one, you will always get the difference of \bold{+2}+2 or simply \bold{2}2, written without the \bold{+}+ symbol.
4 workers can make 32 widgets in an hour how many widgets can five workers make in 90 minutes
Answer:60
Step-by-step explanation:
32 divided by 4 is 8 8 an hour per worker 90 mins is hour and a half 8 times 5 40 each person can make 4 in 30 min so 20
40+20=60
sorry i am a bad explainer
60 widgets can five workers make in 90 minutes.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
4 workers can make 32 widgets in an hour .
1 hour = 60 mint.
now,
4 workers work 60 mint. to make 32 widgets
so, 1 workers work 60 mint. to make =32/4
=8 widgets
1 workers work 1 mint. to make =8/60 widgets
i.e. 1 workers work 90 mint. to make =8*90/60 widgets
5 workers work 90 mint. to make =8*90*5/60 widgets
solving we get,
5 workers work 90 mint. to make =60 widgets
hence, 60 widgets can five workers make in 90 minutes.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
can someone help with this also
Answer:
1st choice c>190.29
Step-by-step explanation:
First I subtracted 668 from 2000 ad got 1332. I then divided 1332 by 7 since they are collecting cans on the final 7 days. and got 190.285714286. When I round up the answer I got 190.29. Now I can immediately know that the 2nd choice is wrong. In the first sentence of the question, it said "more than 2,000" so based on that I know it's the answer choice with the greater than sign.
Hope this help you :)
Answer:
the third one or C
Step-by-step explanation:
2000-668=1332
1332÷7= 190.285
round
190.29
C > (pretend their is a line under the >) 190.29
What are the zeros of the function below? Check all that apply.
(x - 1)(x + 1)
----------------
6(x-4)(x+7)
A. 7
B. 1
C. -1
D. 4
E. 6
F. -7
If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
Step-by-step explanation:
2x +10 = 26
2x = 16
x = 8
answer is d
Answer:
8
Step-by-step explanation:
Since these two triangles are congruent, IN is equal to AT. Solve the following equation:
2x + 10 = 26
2x = 16
x = 8
Solve for a: 3a – 5(a – 2) = 34
Answer:
a=12
Step-by-step explanation:
Please help me solve this it’s I center
Answer:
Think about it this way:
triangle KDI is supplementary to EHK. SO if we find the angles of KDI we can do the same for EHK. Additionally, the m<H in the triangle HKF is 90 degrees and since it is supplementary to EHK then the measure of h in EHK is also 90 degrees. So m<h is 90. All three angles will equal to 180 since the interior angles of any triangle equal 180°
Now, lets find the measures of KDI so we can solve for the measure of K in the triangle EHK
D in KDI is 19 degrees and the square on I in KDI indicates its a 90 degree angle. Those add up to 109 degreess meaning measure of k must equal 71 degrees (180=109=71) since the interior angles of any triangle equal 180. Therefor in the triangle EHK, h is 90, and k is 71 degrees by vertical angles theorem. 90 and 71 add up to 161 degrees meaning angle E is going to be equal to 19 (180-161=19). this, therefore means 17x-7=19
solve:
17x-7=19
17x=26
x=26/17
x=1 9/17
You can write it as a decimal, improper fraction or mixed number.
Step-by-step explanation:
serious question... give me 3 reasons why phones are important and ill give brainly( please help me i dont wanna joke around i actually need the answer)
Answer:
The number one reason why phones are important is to use it as a way of communication. This can help connect people to the outside world & can open up the minds of younger people. The second reason why phones are important is in the case of emergencies. This can help parents make sure they know where their child is at any given time. & lastly, the main reason is that it can be used in education. Phones can be great for researching things, & getting projects/homework done.
Hope this helps!!!
what is the answer?
Answer:
(2/5, 26/5)
Step-by-step explanation:
What is the solution set of -|x|= -8?
{8}
{-8}
{-8,8)
no solution
Step-by-step explanation:
-|x|=-8
if we put the value =8
we get,
-|8|=-8
if we put the value =-8
-|-8|=-8
so,
answer of this questions is {-8,8}
Find the inequality represented by the graph
Answer:
y < 1/4x + 3
Step-by-step explanation:
the line is dotted so we know the symbol will not include the "equal to" part
we can also see that the shading in below the y intercept, so we know that the symbol will also be less than
this means the symbol is <
now, create an equation for the line:
we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4
so the slope is 1/4
now put this together and you get 1/4x + 3
this part will go on the right side of the < symbol in your inequality
so now you can create an inequality: y < 1/4x + 3
Answer:
y < [tex]\frac{1}{4}[/tex] x + 3
Step-by-step explanation:
m = [tex]\frac{1}{4}[/tex] and coordinates of y-intercept are (0, 3)
y < [tex]\frac{1}{4}[/tex] x + 3
∦∦∦∦∦∦∦∦∦∦∦~>~>~>~>~>~>~>~>~>~>~>~>~~>>~>~~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>>~~
Halp meh
Please answer the following problems as a fraction:
1. - 9/10 + 7/10 =
2. - 1/2 — 2/5 =
Answers:
1. - 9/10 + 7/10 =-0.2
2. - 1/2 - 2/5 =-0.9
Have a beautiful day! v(⌒o⌒)v♪
Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.
Which statement is true?
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 3 votes.
For every vote Phil received, Natalie received 3 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 3 votes.
For every 4 votes Natalie received, Phil received 3 votes.
Answer:
tyuklgfdzrxtiyku,j mncihknbjhtu
Step-by-step explanation:
2a²b+6ab²
WHAT
IS
THIS
I
GIVE
5
STARS!!!
Answer:
I'm pretty sure it is 2ab×(a+3b)
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
The function h is a quadratic function whose graph is a translation 3 units left and 4 units up of the parent
function f(x)=x. What is the equation of h in vertex form and in the form y = ax? +bx+c?
A. y=(x-3)^2 +4; x^2 -6x+9
B. y=(x-3)^2 +4; y=x^2 -6x +13
C. y=(x+3)^2 +4; y=x^2 +6x+9
D. y=(x+3)^2; y=x^2 +6x+13
Answer:
D ( if you add +4 to the (x + 3)^2)
Step-by-step explanation:
Parent function is f(x) = x^2
A translation 3 units left gives y = )x + 3)^2
- and 4 up gives y = (x + 3)^2 + 4 - vertex form.
Standard form :
y = x^2 + 6x + 9 + 4
= x^2 + 6x + 13.
Please help me. 27.1 X 10.105
Answer:273.8455
Step-by-step explanation:
i do what i can
(3x-5) (7x+5) find x
Answer:
I
Step-by-step explanation:
3x-5+7x+5+90=180
x=9
1. x + 5 = 23 2. 2x + 1 = 13
3. 3x - 7 = 14
marking brainliest and extra points
Answer:
B
Step-by-step explanation:
If you Divide 60 by 2 you would get 30 but if you divide by four ill be 15 so for b ill be 2 and a will be 4
There is a leak in the attic due to rain.Jared is planning to use buckets to catch the dripping water.The number of buckets (y) filled during (x) hours can be represented by the equation y = 0.4x. How long will it take to fill 2 buckets(hours)
Answer:
5 hours
Step-by-step explanation:
The problem is giving you the equation
y = 0.4x; where y is the # of buckets filled and x is the hours.
If they you 2 filled buckets, then how many hours?
You need to solve for x
y = 0.4x; to get the x by itself, divide by 0.4
x = [tex]\frac{y}{0.4}[/tex] ; now substitute y with 2 ( for 2 filled buckets)
x = [tex]\frac{2}{0.4}[/tex] = 5; which means it took 5 hours to fill up 2 buckets.
Pls I need help with this
Answer: Yes
The answer is:
Yes, both of this is equivalent.
Step-by-step explanation:
For the reason and solution, here:
1) 4x+6/2+3=
Factor: 2(x+3)Simplify: 2x+62) 4x+9=
This cannot be factored or simplified.For me, these two is equivalent because "4x+9" equivalent is 2x+6 and this is the same if you simplified 4x+6/2+3 so for me, the answer is yes.
Hope this helps and if you could mark this as brainliest. Thanks!
3. A clown sells large balloon animals for $25 each. Small balloon animals sell for $10 each. Jordan is buying 2 large balloon animals and x small balloon animals. Let y represent the total cost Jordan must pay in dollars.
Write an equation in slope-intercept form to model this description.
Answer:
Step-by-step explanation:
y= 2x + 50
Please help and If you can have a good night
Answer:
Please help and If you can have a good night
SSSPlease help me with this maths question, brainiest and points will be given. THANK YOU!!!
Step-by-step explanation:
Let the number of weeks be X.
[tex]743 = x \times 63 + 50 \\ 743 = 63x + 50 \\ 743 - 50 = 63x \\ 693 = 63x \\ x = 693 \div 63 \\ \frac{693}{63} \\ \\ = 11 \: weeks[/tex]
Here, is your answer.
...and by the way myself Zeeshan Khan from India
What is the largest output achieved by the function? At what x-value is it hit.
Answer:
f(1) = 4
Step-by-step explanation:
Largest output is 4, when x=1.
Find the distance between A and B
Answer:
The distance between A and B is 2.6
Step-by-step explanation:
We know that there are 2 whole numbers from -1 to 0 and 0 to 1. Then we can add the 0.3 from both sides. 0.3 plus 0.3 is 0.6.
I hope this helped and if it did I would appreciate it if you marked me brainliest, thank you and have a nice
day
Answer:
27 cm or 2in and 6cm!
Step-by-step explanation:
count the lines.