Answers
Answer:
5i[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
i² = - 1 ⇒ i = [tex]\sqrt{-1}[/tex]
Given
[tex]\sqrt{-175}[/tex]
= [tex]\sqrt{25(7)(-1)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{7}[/tex] × [tex]\sqrt{-1}[/tex]
= 5i[tex]\sqrt{7}[/tex]
Answer:
[tex]5i\sqrt{7}[/tex]
Step-by-step explanation:
In order to solve this question we need to know how to multiply roots. You will need to understand that when we multiply [tex]\sqrt{a}[/tex] by [tex]\sqrt{b}[/tex], the following is true.
[tex](\sqrt{a})(\sqrt{b}) = \sqrt{ab}[/tex] (1)
From the question it self we know that [tex]\sqrt{ab}[/tex] is equal to [tex]\sqrt{-175}[/tex]. We also know that [tex]i^{2} = -1[/tex] or in other words [tex]i = \sqrt{-1}[/tex].
Now we will need to factors [tex]\sqrt{-175}[/tex] so that at the end we will end up representing [tex]\sqrt{-175}[/tex] as a product of [tex]\sqrt{-1}[/tex] and some other number. In order to determine the unknown number we will just have to divide [tex]\sqrt{-175}[/tex] by [tex]\sqrt{-1}[/tex]. From the equation (1) that I mention at the start we can figure out that......
[tex]\sqrt{a} = \frac{\sqrt{-175} }{\sqrt{-1} } = \sqrt{175}[/tex] (in our case [tex]\sqrt{a}[/tex] is the unknown number we are trying to find)
Now we can rewrite [tex]\sqrt{-175}[/tex] as the following.....
[tex]\sqrt{-175} = (\sqrt{175})(\sqrt{-1})[/tex]
From here we substitute [tex]\sqrt{-1}[/tex] with [tex]i[/tex] and simplify [tex]\sqrt{175}[/tex]. In order to simplify [tex]\sqrt{175}[/tex] we will have to factor [tex]\sqrt{175}[/tex] in a way that we will see [tex]\sqrt{175}[/tex] as a multiple of a perfect square root. An so we get the following
[tex]\sqrt{-175} = (\sqrt{175})(i) = (\sqrt{7})(\sqrt{25} )(i) = (\sqrt{7})(5)(i) = 5i\sqrt{7}[/tex]
Related Questions
Jenny is getting ready to go see "Black Christmas" with her friends and is trying to decide what to wear. She has 3 shirts : 1 blue, 1 purple and 1 red. She can also wear jeans or a skirt and she can wear boots or flats. How many different outfits can
Help me please also put step by step please.
Answers
Answer:
2 outfits.
Step-by-step explanation:
Answer:
12 different outfits
Step-by-step explanation:
3 shirts
jeans or skirt: 2 choices
boots or flats: 2 choices
If you have several thing you can do and each one has a number of choices, the total number of variations is the product of the numbers of choices.
3 * 2 * 2 = 12
Answer: 12 different outfits
You are pulling up an anchor while on a boat. You pull up the anchor at a rate of 0.5 feet per second. After 6 seconds, the anchor is 8 feet from your hands. Write an equation that represents the distance y (in feet) that the anchor is from your hands after x seconds. Then graph the equation.
Answers
Answer:
the answer is 19
Step-by-step explanation:
8+6=14
14+5=19
please hurry Solve: -23 = x - 23 *
Answers
Answer:
x = 0
Step-by-step explanation:
add 23 on both side and x equals zero
substitute x for 0, and the equation is still correct
Hope this helps and merry Christmas!!
Which statement best describes how the first-person narration in Fever 1793 engages readers?
Answers
Answer:
Mattie's perspective on her grandfather's strong-headed opinions gives readers an understanding of the influence he has on her. Mattie's perspective on the events of 1793 gives readers an understanding of the experiences and uneasiness of the time
This is hard. Again T^T
Answers
The difference of the square of a number and 28 is equal to three times that number find the negative solution
Answers
Answer:
The negative solution = x = -4
Step-by-step explanation:
Let the number be = x
The square of number = x²
The difference between the square of a number and 28 = x²-28
Given that the difference of the square of a number and 28 is equal to three times that number.
Thus, the equation becomes
[tex]x^2-28=3x[/tex]
subtract 3x from both sides
[tex]x^2-28-3x=3x-3x[/tex]
[tex]x^2-3x-28=0[/tex]
[tex]\left(x+4\right)\left(x-7\right)=0[/tex]
[tex]x+4=0\quad \mathrm{or}\quad \:x-7=0[/tex]
[tex]x=-4,\:x=7[/tex]
Thus, the negative solution = x = -4
im so lost could you please help me
Answers
Answer:
hosta = 2 $,,, geranium = 5 $
Step-by-step explanation:
if we make two eq.
1) .... 54 = 2h + 10g
2) ...... 40 = 10h + 5g
if we multiply 1st by -5 it turns to
3) ..... -270 = -10h - 50g
cancel both 10h
add eq. .. becomes : -230 = -46g
g = 5
substitute in any find , that h = 2
PLEASE HELP ITS DUE SOON! 40 points and i'll mark you as brainliest!! Also explain how you got the answer!!!
Answers
Answer: 6, 4.5
Step-by-step explanation:
If 4 workers take 900 hours to finish a project, how long will it take 8 workers to complete the same project?
Answers
Answer: 350
Step-by-step explanation: If you multiply the amount of workers by two, then you divide the amount of time by two, and vice versa. So, in other words, whatever number you multiply the workers by, divide the time by that same number. I hope this helps!
PLS HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS FIRST AND CORRECTLY! DONT ANSWER IF YOU DONT KNOW THE ANSWER!
Write a sentence to represent the equation 4m = -8.
Answers
Answer:
Four times 'M' equals to minus eight
Divide
−4 1/3 ÷ −2 3/5
Answers
Answer:
1 2/3
Step-by-step explanation:
-4 1/3 ÷ -2 3/5
-13/3 ÷ -13/5
-13 x 5/ 3x -13
-65/-39
1 2/3
the question is on the sheet.
Answers
area of the whole figure
= (x + 1)(2x + 3)
= x(2x + 3) + 1(2x + 3)
= 2 {x}^{2} + 3x + 2x + 3
= (2x)^(2} + 5x + 3
area of the unshaded region
= x(2x)
= 2x²
area of the shaded region
= 2x² + 5x + 3 - 2x²
= (2x² - 2x² ) + 5x + 3
= 5x+ 3
THEREFORE,
THE AREA OF THE FRAME IS C. 5x + 3
What are you guys getting for x-Mas
im getting skateboards
Answers
3 erasers cost $4.41
What equation would help determine the cost of 4
erasers?
Answers
Answer:
Well you can divide 4.41 by 3 and then use that number and multiply it by 4
Step-by-step explanation:
Answer:
Using this equation: f(x) = 1.47x
The cost of 4 erasers is 5.88
each costs 1.47
find da surface area plz i will give brainlest to best anwser an thanks
Answers
Answer:
multiply all of it
Step-by-step explanation:
11.3 x 6 x 8 x 8
10.3 x 13 x 9 x 5
=
26145849.6
Reduce
227.8
For the second one:
360.9
Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.
Does this scenario represent a function?
No, because people who are the same age can have different zip codes
No, because people who have the same zip code can be different ages
Yes, because people who are the same age can have different zip codes
Yes, because people who have the same zip code can be different ages
Answers
Answer:
No, because people who are the same age can have different zip codes!!
I took a test with this question and got it correct!!
Step-by-step explanation:
Solve with cramer's rule x+2y+3z=11, 2x+y+2z=10, 3x+2y+z=9
Answers
Answer:
x = 2 , y = 0 , z = 3
Step-by-step explanation:
Cramer's rule is a rule through which we can find the solution of linear equation.
we have the three linear equations as
x+2y+3z=11
2x+y+2z=10
3x+2y+z=9
AX=B
A: coefficient matrix
X= unknown vectors(x,y,z)
D = values of the linear equation (11 , 10 , 9)
now we find the determinant of the given linear equation
determinant of the matrix will be
A = [tex]\left[\begin{array}{ccc}1&2&3\\2&1&2\\3&2&1\end{array}\right][/tex] = 1(1-4) - 2(2-6) + 3(4 - 3)
= 1(-3) - 2(-4) + 3(1)
= -3+8+3 = 8
also D[tex]\neq 0[/tex]
so the determinant is Non zero we can apply Cramer's rule
we will be replacing the first column of the coefficient matrix A with the values of D
by replacing the first column we will get the value of the variable 'x'
Dx = [tex]\left[\begin{array}{ccc}11&2&3\\10&1&2\\9&2&1\end{array}\right][/tex] = 11(1-4) -2(10-18) + 3(20-9) = -33+16+33 = 16
x = [tex]\frac{Dx}{D}[/tex] = [tex]\frac{16}{8}[/tex] = 2
similarly
Dy = [tex]\left[\begin{array}{ccc}1&11&3\\2&10&2\\3&9&1\end{array}\right][/tex] = 1(10-18) -11(2-6) + 3(18 -30) = -8 +44 -36 = 0
y = [tex]\frac{Dy}{D}[/tex] = 0
Dz= [tex]\left[\begin{array}{ccc}1&2&11\\2&1&10\\3&2&9\end{array}\right][/tex] = 1(9 - 20) -2(18 - 30) + 11(4 -3) = -11 +24 +11 = 24
z = [tex]\frac{Dz}{D}[/tex] = [tex]\frac{24}{8} = 3[/tex]
so we have the solution as
x = 2 , y = 0 , z = 3
Therefore the solution for the given linear equations is (2,0,3).
4. A hot air balloon hovers 100 feet about the ground. The balloon is tethered to the ground with a
rope that is 250 feet long. At what angle of elevation, is the rope attached to the ground? Round
you answer to the nearest degree.
Answers
Answer:
It should be about 112 degrees if rounded about 110
Step-by-step explanation:
help can someone please help me
Answers
Answer:
B=55
Step-by-step explanation:
2x+3x+2x+5=180
7x=175
X=25
B= 2x+5
B=2*25 +5
B=55
is - 51/5 a rational or irrational number?
Answers
Answer:
Rational
Step-by-step explanation:
A rational number is a number with two or fewer integers.
-51/5 = -5.2
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:
- 51/5 is a rational number as it can be represented in p/q form where both p and q are integers and q is not equal to zero
Step-by-step explanation
Which of the following could be the equation of a parallel to the line y=4?
•y=0
•y=4
•undefined
•y=4x
Answers
Answer:
y = 0 is parallel to y= 4 ..plz mark my answer as brainlist plzzzz if correct
y= 0 is parallel to y=4
I think it will help you.
Sushil was thinking of a number. Sushil subtracts 3.8 from the number and gets an answer of 53.6. Form an equation with
x
from the information.
Answers
Answer:
x = 3.8 + 53.6
Step-by-step explanation:
From the info that they gave you, you can tell that the original number is unknown, so that is x. Since Sushil is subracting 3.8, meaning, to get x, you're going to have to do the opposite which is........addition! So, to get x, you have to add 3.8, and 53.6. I hope I make sense!!
if the equations 100x+300=500 and x+3=5 give the same answer, how are they related?
please help this is due soon
Answers
Answer:
Both are related as both have the answer same that is x=2.
A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats in 10 seconds. Write an equation for h, the number of times Noah’s heart beats (at this rate) in m minutes. h = _______________
PLEASE DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER. DO NOT ANSWER FOR POINTS IF YOU DO NOT KNOW WHAT THE ANSWER IS PLEASE. I REALLY NEED THE ANSWER. SO PLEASE PLEASE DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER AND JUST WANT THE POINTS.
Answers
Answer:
48 beats per minute
Step-by-step explanation:
I learned this is gym today he told us if you only count 10 seconds multiply the heart beat by 6 so the answer is 48 Noah's resting heart rate is lower than average so he's probably an athlete.
Last week, animals R us sold 35 Total pets, Some cats in some dogs. They made a total of $1975. Dogs sell for $75 cats sell for $25. How many dogs did animals R us sell. show your work !
A. 14
b.35
c.22
d.17
Answers
Answer:
he sold 22 dogs and 13 cats
number of dogs = 22
plz mark my answer as brainlist plzzzz and option C .22 is the correct answer
Answer:
c. 22
Step-by-step explanation:
75 x 22= 1650
35-22=13
13 x 25= 325
325+1650= 1975
How do I solve this inequality?
Answers
Answer:
x ≥ -4 or x ≥ [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
9 ≤ | 4x + 7 |
4x + 7 ≥ 9
4x ≥ 2
x ≥ [tex]\frac{1}{2}[/tex]
4x + 7 ≥ -9
4x ≥ -16
x ≥ -4
The equation y = 40x shows the number
of words Diego types in x minutes. What is
the constant of proportionality?
Answers
Answer:
40
Step-by-step explanation:
i would say 40? because it will be a constant for how many times you do X. for example if it's Y = 40 (2) it would equal 80 because no matter what number you put in X 40 will have to be multiplied
You and 3 friends decided to share a pizza. If everyone got 2 pieces each, how many total pieces of pizza were there to begin with?
Answers
Answer:
8
Step-by-step explanation:
dhdhdhdhdhdhdhddijd
Answer:
6 pieces of pizza was started with
What is 723 divided by 31 , 1359 divided by and , 851 divided by 77 . Thank you!
Answers
Answer:
23.3 and 11.05
Step-by-step explanation:
hope it helped!
70 points
Need answer fast
Answers
-if 77 is 16.5 then i would guess a 75 gram plant would put off not much less
Answer:
C
Step-by-step explanation:
We did this in math ik it is right. Hope this helps! :)