Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Answers
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
Related Questions
The rectangle shown below has a diagonal of 15 cm and a width of 7 cm. To the nearest centimeter, what is the length, x, of the rectangle? Round your answer to the nearest tenth. 15 7 X
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Find the answer of m< VZY
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Answer:
41
Step-by-step explanation:
Please help this question finding a side on a triangle
Answers
Answer:
The side of the hypotenuse is 12.233 centimeters.
Step-by-step explanation:
The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:
[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.
Then, we clear the variable within (1):
[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]
[tex]x = 13.233\,cm[/tex]
The side of the hypotenuse is 12.233 centimeters.
A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+3t^0.4, where t is the time in seconds and S(t) is the distance in feet from the top of the building.
Answers
Answer:)
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The circumference is 615.44.
The formula is
R = C/(pi)*2
( 2 is square)
( I can't find the pi symbol sorry)
So meaning in simple term, it would look like this
R = 615.44/2*(3.14)
615.44/6.28
then we divide which we will get 98
ANSWER: 98
Graph the solution of the inequality -x+y > 2
Answers
Answer:
Included in the picture attached
Step-by-step explanation:
Desmos graphing calculator
Of the flowers in Bella’s garden, 5/8 are tulips. What percent of the flowers in the garden are tulips?
Answers
I hope this helps!!
Answer:
62.5
Step-by-step explanation:
At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP
Answers
Answer:
Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better
Step-by-step explanation:
Pls help this is my last points
Answers
Answer:
520 - 10x = 380
Step-by-step explanation:
x= 14
Answer:
520-10x=380
x = 14
Step-by-step explanation:
Please help will give brainleist
Answers
Answer:
[tex]7\frac{1}{2}[/tex] square feet
Step-by-step explanation:
2 * [tex]3\frac{3}{4}[/tex] = 2 * 15/4 = 15/2 = [tex]7\frac{1}{2}[/tex] square feet
Divide. Enter your answer as a fraction in simplest form.
1/5 divided by 11/15
Answers
the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answers
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
A rectangular room is 14 feet by 20 feet. A rectangular rug is placed in the room so that a 2-foot border of floor around the edge of the room is not covered by the rug. What is the area of the rug?
Answers
Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
160
top correct lolssssss
What is the value of the expression 4 × (2a − 1) if a = 3?
A16
B20
C23
D25
Answers
Please help!! Brainliest for right answer!!
Answers
Answer:
(f o g)(x) = 4x^2 - 8
Step-by-step explanation:
(f o g)(x) = f(g(x))
f(x) = x^2 - 8
g(x) = 2x
f(g(x))
f(2x) = (2x)^2 - 8
= 4x^2 - 8
(f o g)(x) = 4x^2 - 8
a biologist analyzes 15 bacteria samples each day a. complete the table
Answers
Answer:
Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15
Step-by-step explanation:
The complete table:
Days 1 2 3 4 5
Total samples 15 30 45 60 75
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bacteria samples analyze each day = 15
The equation for the number of bacteria analyzes after x days.
B = 15x
Now,
x = 1, B = 15
x = 2, B = 30
x = 3, B = 45
x = 4, B = 60
x = 5, B = 75
Thus,
Days 1 2 3 4 5
Total samples 15 30 45 60 75
Learn more about expressions here:
https://brainly.com/question/3118662
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how do you solve 3x-7 over 3
Answers
Answer: x - 7/3
Step-by-step explanation:
I think thats the farthest you can go with this problem
Answer:
Let's simplify step-by-step.
3x−7^3
=3x−343
Step-by-step explanation:
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answers
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
PLSSS HELP ASAPPPP I BEG
MARKI BRAINLIST AND GIVING POINTS
Answers
Answer:
b = 34
m = 5
f(t) = 5x+34
Step-by-step explanation:
f(0) = 34, so that is its y intercept.
f(t) contains (0,34) and (8,74), which can be used to find the slope:
[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]
1/3 of 5/8 as a fraction
Answers
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
brainly.com/question/1301963
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andre and Elena are each saving money. Andre starts with $100 in his savings account
nd adds $5 per week. Elena starts with $10 in her savings account and adds $20 each
jeek.
1. Write an equation in y= mx + b form to represent at what rate Elena and Andre are
aving their money.
Y=mx+b
Answers
Answer:
Andre y=5x+100
Elena y=20x+10
the rate Elena is 20
the rate Andre is 5
Step-by-step explanation:
The ladder of a fire truck extends 41 ft. to the top of the
building. If the distance between the wall and the base of the
ladder is 9ft. How tall is the building?
Answers
Answer:
Step-by-step explanation:
By the Pythagorean Theorem a^2+b^2=c^2 or the sum of the squared sides is equal to the hypotenuse squared.
41^2=9^2+h^2
h^2=41^2-9^2
h^2=1600
h=40 ft
Hi can anyone help me? :)
Answers
Answer:
[tex]d(n) = - ( {7}^{n - 1} )[/tex]
  Please help this is due today please i really need help it’s due in 5 hours!!!
Given parallelogram FGHI determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answers
Answer:
y = 3 cm and x = 2.5 cm
Step-by-step explanation:
As we can see it is a parallelogram so
y = 3 cm (being opposite sides of parallelogram)
Now while calculating the diagonal we can use the Pythagoras relation. i.e
perpendicular (p) = 4 cm (IH)
Base (b) = 3 cm (FI)
Hypotenuse (h) = FH = ?
We know by using Pythagoras theorem
h = √ p² + b²
= √ 4² + 3²
= √ 25
= 5 cm
Here we got FH = 5 cm
so the value of x will be 2.5 cm as the diagonal bisects.
Hope it will help :)
2x+3y=5×-y missing value
Answers
Answer:
y= 5/3 - 2x/3
Step-by-step explanation:
Find the slope of the line.
Slope = type your answer...
Answers
Answer:
slope= (-1)
...................
how do you simplify 4 ^2 × 4^5
Answers
Answer:
4^7
Step-by-step explanation:
4^2 + 4^5
=> 4^ 2+5
=> 4^7
Answer:
Step-by-step explanation:
the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers. what is the actual distance between these two cities in kilometers?
Answers
Answer:
70 kilometers
Step-by-step explanation:
Set up a proportion where x is the actual distance
[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]
Cross multiply:
x = (20)(3.5)
x = 70
So, the actual distance is 70 km
How can we get system B for system A?
And
Are the systems equivalent?
Answers
Answer: Subtract the equations in system A.
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Explanation:
The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.
There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.
For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y
So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.
Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.
Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.
Can someone help me with this please?
Answers
Answer:3:7
Step-by-step explanation: