The modulus of the complex number is 5.
The value of z is a complex number with a real and imaginary value. Let's assume the complex number z is given as:
[tex]z = 3 + 4i[/tex]
The modulus of the complex number is given as:
[tex]|z|=\sqrt{x^2+y^2}[/tex]
From the given complex number:
x = 3y = 4Substitute into the formula:
[tex]|z|=\sqrt{3^2+4^2}\\|z|=\sqrt{9+16} \\|z|=\sqrt{25}\\|z|=5[/tex]
Hence the modulus of the complex number is 5.
Note that the complex number was assumed.
Learn more on complex number here: https://brainly.com/question/5564133
Answer:
[tex]\sqrt{10\\[/tex]
Step-by-step explanation:
If x = − 6, which number line shows the value of |x|?
Answer:
I would say the one that has the blue dot. bc, the absolute value of -6 is 6.
Answer:
The second one -6[------------]0 with 6 on top.
Step-by-step explanation:
Each of the 256 solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box
WILL GIVE BRAINLIEST!
Answer:
1 1/3
Step-by-step explanation:
it's bc the number is closer to one and not in the middle. have a great day
Answer:
The arrow is pointing to 1 1/3. From 1 to 2, there are 3 marks. These three marks are each 1/3. So, from 1 the next mark will be 1 1/3.
:)
Which step? I’m sort of confused
The answer is C) Step 3
Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.
The right steps are:
-4/5 / 8/-3
Flip the second part to multiply:
-4/5 * -3/8
Multiply:
12/40
Simplify:
3/10
I hope this helps!
how many trees will be planted when 5 are cut down
the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution
Answer:
[tex]250cm^2[/tex]
Step-by-step explanation:
length = 5 + 2w
width = w
P = Sum of all sides
P = 2 * (5 + 2w) + 2w
P = 10 + 4w + 2w
P = 6w + 10
Given Perimeter = 70cm
We substitute
6w + 10 = 70
6w = 70 - 10
6w = 60
w = 60/6
w = 10cm
Since length is 5 + 2w
length = 5 + (2 * 10)
length = 25cm
Area = lw
Area = 25 * 10
Area = [tex]250cm^2[/tex]
Answer:
let
b=x then'
l= 2x+5
Now
p=70
2(l+b)=70
2(x+2x+5)=70
6x+10=70
6x=60
x=6
b=x=10
l=2x+5=25
area of rectangle = l*b
25*10
=250 answer
hlp me with this math problem
Answer:
0.5l+0.2s
Step-by-step explanation:
0.10x5l equals 0.5l
0.10x2s equals 0.2s
HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!
Answer:
its F for the inequality to be true
what triangle is formed with the angles 32 126 and 32
Solve the equation x=√(2x-4)+2. Show, explain, and check your work.
Answer:
x = 2, 4
Step-by-step explanation:
Hi there!
x=√(2x-4)+2
Move 2 to the left:
x-2 = √(2x-4)
Square both sides:
x²-4x+4 = 2x-4
Combine like terms:
x²-6x+8 = 0
Factor:
(x-2)(x-4) = 0
Therefore, x = 2, 4.
I hope this helps!
Hello please help me with this question
5x - 3 + 7y
x= 3 y= -7
Someone help mah
A die was rolled six times. The rolls were 1. 2. 3.3.4. and 5. What is the mean deviation for this data?
A) 3/5
B) 1
C) 2
D) 6
Answer:
3
Step-by-step explanation:
1+2+3+3+4+5
6
=18 =3
6
=3
Can someone please help? I’m in a rush and my brain can’t process things well right now.
Answer:
50km/h
Step-by-step explanation:
195km/3.9h
= 50km/h
Answer:
the answer is 50km/h
Step-by-step explanation:
Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?
Answer:
135 divided by 4
Step-by-step explanation:
complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
ΔDEFStep-by-step explanation:
Pay attention to order of vertices when comparing the congruent parts or figures.
ΔCBA ≅ ΔDEFC and D as well as B and E are corresponding vertices according to angle marks and side marks.
In ∆ABC and ∆DEF
AB=EFBC=EDAC=FDSo
[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]
By SSS congruence
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
Can someone please answer for d and b
Answer:
d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
first triangle is a 30-60-90
so, sides x-x√2-2x
x=2
therefore d=2√2
second triangle is 45-45-60
sides, 1-1-√2
which means b√2=6
b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator
b=6√2/4 , simplify
b=[tex]\frac{3\sqrt{2}}{2}[/tex]
What is the average rate of change from x = 1 to x = 3?
Answer:
2
Step-by-step explanation:
Since at x = 1, y = -3, and at x = 3, y = 1
the slope is 2 meaning the average rate of change is 2
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answer:
He needs 132
Step-by-step explanation:
hope it helps
Rob is making a square pen for his dog to play in. Each
a
side of the pen is 30 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and sis the length of one side.
What is the area of the pen?
A. 900 square feet
B. 60 square feet / guys help
C. 30 square feet
D. 120 square feet
Answer:
A.900 square feet
Step-by-step explanation:
s×s=A
30×30=900
what fraction is not equivalent to 2/6? 1/3, 12/36, 4/12, 6/9
Answer:
6/9
Step-by-step explanation:
1/3 is half 12/36 is 2×6 and 6×6 4/12 is 2×2 and 6×2 making 6/9 the odd one out as 6 can't go into 9 without making a decimal
Re-write y=x^2– 2x - 3 in vertex form.
Answer:
Step-by-step explanation:
y=x²-2x-3
or
y=x²-2x+1-1-3
or
y=x²-2x+1-4
or
y=(x-1)²-4
vertex is (1,-4)
In the table, how can I get from 8 km to 1 km?
A. Multiply by 8.
B. Divide by 8.
C. Divide by 5.
D. Multiply by 5.
WILL MARK BRAINLY NO BOTS
Answer:
B. Divide by 8.
Step-by-step explanation:
WILL MARK AS BRAINLIEST
Answer:
18.06
Step-by-step explanation:
7+6=13
34+38=72
13 IS 18.06 PERCENT OUT OF 72.
Answer:
Percentanges are factors so
41 Women + 44 Men = 85 shoppers
7 Women + 6 Men = 13 Online shoppers
13 out of 85 13/85 = 15% of total people surveyed shop online
Step-by-step explanation:
Hope this helps! BH
if you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school at what time will you get to school
HELPPPPPPPPPPPPP
A: equilateral and right
B: equilateral and isosceles
C: isosceles and scalene
D: isosceles and right
Answer:
C. (I think)
Step-by-step explanation:
So, it is definitely not a right triangle so A and D can step out. And it is not equilateral because all sides are not the same length, that means B is out. It might be C.
four hundred twenty five million six hundred one thousand six in standard form
Answer:
425,601,006
Step-by-step explanation:
how can you solve this (3/4 - 1/5)
Answer:
11/20
Step-by-step explanation:
What happens to the decimal point when we multiply a whole number by 100?
Answer:
Step-by-step explanation:
To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right