z²-2i=0
Answer:
Solution given:
z⁴=-4
doing square root on both side
[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]
we know i²=-1
substituting i² we get
z²=[tex]\sqrt{2²*i²}[/tex]
z²=2i
z²-2i=0 is a required answer. where
z² and 2 is real number.
Answer:
z = {-1 -i, -1 +i, 1 -i, 1 +i}
Step-by-step explanation:
Using Euler's formula, we can write the equation as ...
z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer
Then the 4th root is ...
z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3
z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3
z = ±1 ±i
z = {1 +i, -1 +i, -1 -i, 1 -i}
_____
Additional comment
Values of n are only needed in the range 0–3, because the answers repeat for values other than those.
Julio is putting a rectangular pool in his backyard. The length of
the pool is 7 feet more than the width. The perimeter of the pool
is 54 feet. What is the length of the pool?
23.5
47
17
10
Answer: 17
Step-by-step explanation: Luckly, this question is multiple choice meaning that we could try all the solutions going backwords. We will start from 10. Since the length is 7 feet more than the width, we will do 10 - 7 to find the width. That gives you 3 and perimiter means we have to add up all the sides. 3 + 10 + 3 + 10 = 26 and 54 does not equal 54. Now we will do 17. 17 - 7 gives you 10. So, 17 + 10 + 17 + 10 = 54. 54 = 54 so your answer will be 17.
Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7
Answer:
0.7842857142857143
Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
Giving brainliest to the right answer!
Answer:
y = 4 (-3) - 2
y = -12 - 2
y = -14
Step-by-step explanation:
I NEED THIS ANSWERED ASAP
Which point is a solution to the system of equations?y=2x+2y=3x
A: (0,2)
B: (0,0)
C: (2,6)
D: (6,2)
Answer: B
Step-by-step explanation:
Help please this is due today!!!
please provide a small explanation!!
Answer:
200 sq cm
Step-by-step explanation:
Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.
The front and back are both 10 x 20, so 200 each = 400
The left and right are 5 x 20, so 100 each = 200
The lateral surface area is 200 sq. cm.
Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
cost for the night was $347.50. How many hours did Kaya rent the limo for?
Answer:
3 hours
Step-by-step explanation:
it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.
Answer:
The total is 3 hours
Hope this help! good luck :)
60 minutes is 20% of minutes?
Answer:
300
Step-by-step explanation:
Let the value that we are trying to find be x.
If 60 is 20% of x, then we have the following equation:
1/5x = 60.
Then, we can multiply by 5 to get:
x = 300
Answer:
20 percent of 60 minutes is 1/3
Step-by-step explanation:
I'm not sure if that is what you're asking, but if it is I hope it helps!
I NEED HELP QUICK ‼️‼️‼️ PLEASE
Answer: no
Step-by-step explanation:
the angle is too steep
10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
how many lines of symmetry does the figure have?
Answer:
Step-by-step explanation:
2
this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)
Hey there!
8( 4 - 2^{6} ÷ 4)
= 8( 4 - 2^6 ÷ 4)
2^6
= 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4
= 16 * 4
= 64
= 8(4 - 64 ÷ 4)
= 8(4) + 8(-16)
= 32 - 128
= -96
Therefore, your answer is: -96
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
(a) The perimeter of a rectangular parking lot is 288 m. If the width of the parking lot is 65 m, what is its length? Length of the parking lot:
Answer:
79 m
Step-by-step explanation:
We know that
Perimeter of rectangle = 2(l + b)
=> 288 = 2(l + 65)
=> 288/2 = l + 65
=> 144 = l + 65
=> 144 - 65 = l
=> 79 = l
Hence,
Length of rectangle is 79 m
Answer:
Length of parking lot = 79m
Explanation:
2 × length + 2 × breadth = perimeter of rectangle
2 × length + 2 × 65 = 288
2 × length + 130 = 288
2 × length = 288 - 130
= 158
length = 158 ÷ 2
= 79
the sum of -8 and a number is at least 9 write an inequality and solve each problem
-8 + x >= 9
Solve for x by adding 8 to both sides:
X >= 17
I need help long dividing this equation.
(x^2 - x +5) / (x + 1)
I already know the answer however I’m having a bit of trouble understanding how to get to it. At the second to last operation you come to,
- x^2 + 4x
- x^2 - x
= 5x
I’m having trouble understanding how you get 5x from that? Someone please help!
First, we'll look at the first term of each expression.
---x times what is equal to x^3? = x times x^2 = x^3
So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.
x^2(x + 1) = x^3 + x^2
(x^3 + 4x + 5) - (x^3 + x^2)
x^3 - x^3 = 0
0 - x^2 = -x^2
4x - 0 = 4x
5 - 0 = 5
Our new expression is -x^2 + 4x + 5.
So we again ask ourselves, x times what is equal to -x^2? = -x
-x(x + 1) = -x^2 - x
And subtract!
(-x^2 + 4x + 5) - (-x^2 - x)
-x^2 - - x^2 = -x^2 + x^2 = 0
4x - - x = 4x + x = 5x
5 - 0 = 5
Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.
Multiply, then subtract!
5(x + 1) = 5x + 1
(5x + 1) - (5x + 1) = 0
Now that we have nothing left to divide, let's go back and get our answer.
x^2 - x + 5
Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.
Hope this helps and if you have any further questions, please let me know! :)
Answer:
Step-by-step explanation:
x - 2 <--- quotient
x + 1) x^2 - x + 5 First divide x^2 by x giving x then multiply x + 1 by x:
x^2 + x Now subtract x^2 + x from x^2 - x and bring down +5:
-2x + 5 Now divide -2x by x to get -2 and multiply X+1 by -2 -2x - 2 Subtract:
7
The result is x - 2 (see above) remainder 7
or you could write it as
x - 2 + 7/(x + 1)
i need help on all of this please
Answer:
Step-by-step explanation: the answer is 69-123
A furniture store donated a percentage of every sale to hospitals. The total sales were $7,125 so the store donated $570. What percent of 7,125 was donated to hospitals
Answer:
8%
Step-by-step explanation:
570 / 7125 = x / 100
Cross multiply
570 * 100 = 7125x
57000 = 7125x
Divide each side by 7125
8 = x
I need this solved as c.l.t
6=n-2n
Answer:
n= -6
Step-by-step explanation:
Help for points please!
Answer:
A) 0
Step-by-step explanation:
15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.
Answer:
0
Step-by-step explanation:
= [tex]\frac{5}{7}-\frac{5}{7}[/tex]
= [tex]\frac{5-5}{7}[/tex]
= [tex]\frac{0}{7}[/tex]
= [tex]0[/tex]
What would the graph look like
Answer I cant read the thing sorry
Step-by-step explanation:
hoped that hepled:)
I do not understand
[tex]\huge \sf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{5 {}^{6} }{5 {}^{1} } [/tex][tex] \sf 5 {}^{6 - 1} [/tex][tex] \sf {5}^{5} [/tex]Zoom if you have to see more clearly ! Answer #4 , #5 , & #6 for me !! Show proof for all please ! I'll be giving brainliest and report wrong answers or answers that are correct but no proof !
Answer:
N/A; 32; -8
Step-by-step explanation:
4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest
5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32
6) -6m+6+6=4-7m, so m=-8
Can u please help answer 9 and 10 please
Answer:
9. 23
10. D
Step-by-step explanation:
9.In order to make the equation true, the blank must contain 23.
That statement, however, is an example of the commutative property of addition. The symmetric property says if a = b, then b = a.
__
10.Your calculator can tell you which expressions are equivalent to 25·18. Clearly, the sum in choice D is not a product that will be equivalent.
How do I write two time the quotient of a number and two
Answer:
2(quotient of x) + 2..............
can someone help me answer this
[tex]32^{-\tfrac 25}\\\\=(2^5)^{-\tfrac 25}\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\=\dfrac 14[/tex]
NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answer:
#5 -1.75, 2.5, -0.2
#6 3 1/2, 2 1/4, -1/2
Step-by-step explanation:
Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)
1/3 + 3/5 in fraction form
Solution: 1/3 + 3/5
Take the LCM of 3 and 5 is 15.
⇛(5+9)/15
⇛14/15 in fractional form.
also read similar questions: What is 3/7 plus 3/5 in fraction form?...
https://brainly.com/question/3442261?referrer
-1 5/6 ÷ -3 1/3 in fraction form...
https://brainly.com/question/15930246?referrer
Answer:
14/15
Step-by-step explanation:
When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.
can someone explain this to me ?
Answer:
well y= mx + b
Step-by-step explanation:
it is going up by 2/5 then your answer is y =2/5+5
Solve for m: m – 4.2 = 5.1
Answer:
M equals 9.3
Step-by-step explanation:
To get m alone add 4.2 to each side
help for brainly pls i think is b bot i dont think im correct im giving brainlist
Answer:
Step-by-step explanation:
answer:
the answer is = 7/3
so the first one
the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is
Answer:
20%
Step-by-step explanation:
The percentage change is the difference divided by the original amount, expressed as a percentage.
(30 -25)/25 × 100% = 20%
Production increased by 20%.
