Need help with this khan academy question. Plus minus square root of negative nine equals plus or minus
Answers
Answer:
3i
Step-by-step explanation:
3i x 3i = -9
-3i x -3i = -9
Therefore the square root of -9 is 3i or -3i
The simplified radical expression ±√(-9) is ±3i
The expression ±√(-9) involves finding the square root of a negative number. In the real number system, this is not possible, as no real number multiplied by itself will result in a negative value. To overcome this limitation, mathematicians introduced the concept of imaginary numbers. The imaginary unit, denoted by 'i,' is defined as √(-1).
Now, let's simplify the expression ±√(-9) step by step:
Step 1: Begin by recognizing that √(-9) is the square root of -9.
Step 2: Since √(-1) is 'i,' we can rewrite √(-9) as √(9) * √(-1).
Step 3: The square root of 9 (√9) is 3.
Step 4: Replace √(-1) with 'i.'
Step 5: The final result is 3i.
Therefore, the simplified form of ±√(-9) is ±3i.
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Related Questions
Determine the solution for x^2+2x+8
Answers
Answer:
[tex]x=-1-i\sqrt{7}[/tex], [tex]-1+i\sqrt{7}[/tex]
Step-by-step explanation:
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Here a=1, b=2 and c=8
points match up with the real number system
Group of answer choices
fraction
number line
reciprocal
numerator
Answers
Kenya Kon sells dishwashers. He earns an 8% commission on sales. How much must he sell in order to earn $3000?
*if you can answer fast that would be great! thank you!
Answers
Explanation:
Which rectangle is an enlargement of a 5 by 6 rectangle?
Rectangle
A
B
C
D
Width
10
15
25
60
Length
11
18
36
60
A
B
C
D
Answers
Answer:
its b just did quiz rn for edg
Step-by-step explanation:
Which Expression represents 8 less than 3 times?
Answers
Answer:
3x-8
Step-by-step explanation:
if 8 less than something it means subtract, example:
8 less than 21 = 13
and plus u said 3 times x and when multiplying by a variable(letter) you can put them together, example:
3 times x = 3x
The given statement can be written as expression as -
f(x) = 3x - 8
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is the statement -
8 less than 3 times
We have -
Assume the number to be [x]. Then -
f(x) = 3x - 8
Therefore, the given statement can be written as expression as -
f(x) = 3x - 8
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Connor is cutting a 27 inch piece of wood. He cuts off 3 inches, and then cuts the remaining piece into 6 equal lengths of x feet each. answer
Answers
24 divided by 6 = 4
4 inches
True OR False
The lengths 21, 42, and 15 make a right triangle.
Answers
Answer:
I think its false. sorry if I'm wrong
Step-by-step explanation:
If im right can u give me Brainliest?
there’s no 90 degrees in that list.
Another word meaning to balance your checking account
Answers
Answer: Reconcile
Step-by-step explanation:
SOLVE FOR X, WILL GIVE BRAINLIEST
Answers
-- these are called same side interior angles, which are supplementary.
to solve for x:
3x + 37 + 2x - 7 = 180
5x + 30 = 180
5x = 150
x = 30
Answer: x = 30
========================================================
Explanation:
These angles shown are same side interior angles.
Due to the parallel lines, same side interior angles are always supplementary.
This means they add to 180
(2x-7)+(3x+37) = 180
2x-7+3x+37 = 180
(2x+3x)+(-7+37) = 180
5x+30 = 180
5x = 180-30 .... subtracting 30 from both sides
5x = 150
x = 150/5 ... dividing both sides by 5
x = 30
Which rational number is one tick mark to the right of Negative StartFraction 6 Over 4 EndFraction on the number line below?
Answers
Answer:
the answered is a
Step-by-step explanation:
hope this helps
Answer:
-1 3/4
Step-by-step explanation:
Simplify the expression 4(5 - 2)2 – 7.
Answers
Answer:
17
Step-by-step explanation:
Remember to solve by the order by operations, or PEMDAS. PEMDAS says that when simplifying an expression, you need to solve parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right) in that order.
1) Knowing this, start by solving what's in the parentheses:
[tex]4(5-2)2-7\\= 4 (3)2-7[/tex]
2) Then - still following the order of operations - multiply the 4, 3, and 2 together.
[tex](4)(3)(2)-7\\(24)-7[/tex]
3) Finally, subtract 7 from 24.
[tex]24-7\\= 17[/tex]
Therefore, 17 is the answer.
what is max final number if his starting number is 7 2(n + 8 )
Answers
Answer:
30
Step-by-step explanation:
if he can only use lower numbers than the max would be 30
Answer:
30
Step-by-step explanation:
What is the solution set of the equation
|2x-3|=11
Answers
A soup can has a radius of 2.5 inches and a height of 5 inches. How much metal is needed to
make the can?
Answers
Answer:
117.81
Step-by-step explanation:
the cylinder surface area equation
A=2πrh+2πr2=2·π·2.5·5+2·π·2.52≈117.80972
Help please I need help
Answers
Answer:
15/8
Step-by-step explanation:
Opp/Adj of angle x means Tan x
that would be 15/8
Figure I and Figure II are similar pentagons. Figure 1 4.2 cm Figure II 4 cm 5.25 cm 6 cm y cm 6 cm 3 cm 3.15 cm 7 cm Which proportion must be true
A Y/X = 4.2/3.15
B 6/X = 5.25/7
C Y/6 = 7/5.25
D X/4 = 3/6
Answers
Answer: I believe it’s c because I have that question on my test and c was the correct answer for me sorry if it didn’t work
Step-by-step explanation:
How many ft. Equal 30 in.
Answers
Answer:
2.5 ft
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
To find how many feet are in inches. You need to find how many inches are in a foot.
12 in.= 1 foot
With this information, you divide the inches by 12.
30/12=2.5Pleaseee help pronto ......
Answers
Answer:
C
Step-by-step explanation:
you can see the proportion is right because you get 5 cucumbers for 2 dollars. for double cucumbers times by two which equals 4 dollars. Times 5 by three because it's 3 times bigger meaning it has to equal 6 dollars and finally times 2 by 4 making 20 cucumbers cost 8 dollars.
John order sneakers online. He ordered 2 pairs of Nikes at $50 each and 4 pairs of Yeezy's at $100 each. He also paid a shipping fee of $20. Write an expression to represent the total amount he paid. (Just write the expression do not solve)
Answers
Answer:
2(50) + 4(100) + 20 = total
Step-by-step explanation:
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answers
Answer:
5
Step-by-step explanation:
estimated would be 8 - 3
To solve the problem we must know about fractions.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex] can be described as 0.25
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
The solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Given to us
[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]
Converting the mixed fractions to fraction
[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]
Taking LCM,
[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]
Converting to Mixed Fractions,
[tex]=5\dfrac{13}{40}[/tex]
Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].
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can someone please help me asap
Answers
Answer:
c= 70?
a= 66? I think im not too sure
If a = -4, then what is the value of -a?
OA.
5
OB.
4
OC. 0
OD
D. -4
Answers
3/5-x/9=2/15-2x/45 can someone help I don’t understand
Answers
x
=
7
Which fractions are equivalent to 1/3
2/6
2/5
4/12
3/8
2/3
Answers
Answer:
2/6
4/12
2 / 2 = 1
6 / 2 = 3
4 / 4 = 1
12 / 4 = 3
Please Help!
I'm in a hurry!
Answers
Answer:
-2 due to the y axis having the line run through the -2
Answer:
Y-intercept is -2. Equation is y=1x-2
Step-by-step explanation:
#NotATest.
You probably don't want an explanation.
The y-intercept is -2 because that is where the line meets the y-axis.
The slope is 1 because the line is going up 1 unit, and over 1 every time.
The last part is -2 because that is the y-intercept.
Hope this helps!
PLEASE HELP :(
Solve a system of equations using substitution.
6x - 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y = __ x - 5
Answers
Answer:
y=3x-5
Step-by-step explanation:
took the test yesterday and got it right
A pizzeria sold $3,432 worth of pizzas this week. Each pizza costs $12. How many pizzas were sold?
Answers
Answer:
286
Step-by-step explanation:
its 286 that's the answer
You just need to divide 3,432 and 12 and you get 286! Have a great day!
What's equivalent to 2/5?
Answers
Answer: 4/10 , 6/15, 8/20,
Step-by-step explanation:
Answer: Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/
Step-by-step explanation:
2x^2 + 2x+1=0 solve for x
Answers
2x²+2x+1=0
Uh it doesnt factor, check if u had a typo or misreading.
Hope it helps!
For the inverse variation function y = klx (where x,k > 0), what happens to the value of y as the value of x increases? increases c. increases then decreases b. decreases d. decreases then increases a Please select the best answer from the choices provided
Answers
Answer:
B Decrease
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
EDGE2021
