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:
5x - 3 + 7y
x= 3 y= -7
Hello please help me with this question
HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!
Answer:
its F for the inequality to be true
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:
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
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
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.
:)
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
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
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:
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]
four hundred twenty five million six hundred one thousand six in standard form
Answer:
425,601,006
Step-by-step explanation:
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:
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
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 can you solve this (3/4 - 1/5)
Answer:
11/20
Step-by-step explanation:
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 ~
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
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
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
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:
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!
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.
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)
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
what triangle is formed with the angles 32 126 and 32
how many trees will be planted when 5 are cut down
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
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
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