Mathematics High School

Simplify this radical. [tex]\sqrt{} 84[/tex]

Answers

Answer 1

Answer:

2√21

Step-by-step explanation:

[tex]\sqrt{84}\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2\times\:3\times\:7\\=\sqrt{2^2\times\:3\times \:7}\\\\=\sqrt{2^2}\sqrt{3\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{3\times\:7}\\\\=2\sqrt{21}[/tex]

Related Questions

what is the distance between -4 and -1

Answers

Answer:

3

Step-by-step explanation:

(-4)-(-1)=3

if a number is a whole number, then it cannot be _
a) an irrational number
b) an integer
c) a rational number
d) a natural number​

Answers

Answer:

Irrational number,

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Tanya bought three adult tickets and one children's ticket to a movie for 24.60 Li bought five adult tickets and four children's tickets for 50.10 . Find the cost of one adult ticket and the cost of one children's ticket.

Answers

Answer:

adult tickets  6.9

children tickets  3.9

Step-by-step explanation:

3x + y = 24.60    L1

5x + 4y = 50.10  L2

5L1 - 3L2

15x +  5y = 123

-15x - 12y = -150.3

-7y = -27,3

y = -27,3/-7

y = 3.9

3x + y = 24.60

3x + 3.9 = 24.60

3x = 24.60 - 3.9

3x = 20.7

x = 20.7 / 3

x = 6.9

originally priced at 48.69, a wallet was found on a 10% off rack. What is the sale price of the wallet

Answers

Your answer should be 43.821

if the fraction 396/x-10 is equivalent to -22, find the value of x.

Answers

Answer: x = -8

Step-by-step explanation:

1. Miltiply x-10 on both sides: 396 = -22(x - 10)

2. Distribute -22 to (x - 10): 396 = -22x + 220

3. Subtract 220 from 396: 176 = -22x

4. Divide both sides by -22 to get x by itself: x = -8

I hope this is helpful :)

Convert 32% to a fraction. Make sure your answer is fully reduced.

Answers

Answer:

8/25

Step-by-step explanation:

32/100

Find what value can divide the numerator's value (32) and the denominator's value (100) into a whole number, for this problem, 4 is the value that can do this.

32/4= 8

100/4= 25

8/25

1. Solve -35 = -5x ........................

Answers

Answer:

x = 7.

Step-by-step explanation:

-5x = -35

x = -35 / -5 = 7.

-5x = -35
X= -35/-5 = 7

Convert a day into second​

Answers

Answer:

24 hours are 86400 seconds

Step-by-step explanation:

24(hours) *60(minutes per hour)=1440

1440*60(seconds)=86400

24 hours in a day, 60 minutes in each hour, and 60 seconds in each minute. There are in total 1440 minutes in a day and 86400 seconds in a day

perform this operation: ​

Answers

5 is the answer first divide 24 with eight then subtract three

what is greather than -7

what is less than -2​

Answers

Answer:

The greater than of -7 is 7. The less than -2 is 2.

Step-by-step explanation:

It's the same distance from both but, the positive number always been greater than negative number.

Both questions have an infinite number of correct answers.

Here are six numbers that are greater than -7:

-6.99999,  -4,  0,  3,  π,  4.00001

Here are six numbers that are less than -2:

-2.00001,  -3,  -π,  -4,  -136,  -201.358

7(3x + 10)
Simply the expression

Answers

21x +70

7•3x + 7•10

21x + 70

The measure of an angle is 149°. What is the measure of its supplementary angle?

Answers

Answer:  31°

Step-by-step explanation:

Supplementary angles add up to 180 degrees so add 149 degrees to a number of degrees to get 180 degrees.That can be represent by the equation,

149 + x = 180  where x is the supplement so solve for x

-149         -149

x = 31

Rewrite 4 - 5 using the additive inverse and display the new expression on a number line

Answers

When you rewrite subtraction using the additive inverse, you add the opposite. That is, -5 becomes +(-5).

The appropriate choice is ...

... 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.

the square root of 45 lies between which two whole numbers

Answers

Answer:

6 and 7

Step-by-step explanation:

[tex]\sqrt{45}[/tex]

is aprox

6.7082039324993690892275210061938287063218550788345771728126917362...

so it's between 6 and 7

Make "t" the subject of the formula s=2t+5.

Answers

Answer:

t = [tex]\frac{s-5}{2}[/tex]

Step-by-step explanation:

Given

s = 2t + 5 ( subtract 5 from both sides )

s - 5 = 2t ( divide both sides by 2 )

[tex]\frac{s-5}{2}[/tex] = t

By​ himself, a person can mow his lawn in 60 minutes. If his daughter​ helps, they can mow the lawn together in 45 minutes. How long would it take his daughter to mow the lawn by​ herself?

Answers

Answer:

180 minutes

Step-by-step explanation:

Candice bought jelly beans that are on sale for $1.50 a pound. If Candice paid a total of $12.75 for the jelly beans, how many pounds of jelly beans did she buy?

Answers

Answer:

she bought 8.5 pounds of jellybeans

Step-by-step explanation:

12.75 divided by 1.5 gets 8.5

16. The quotient of a number and -2 is the same as the sum of -4 and 10.

Answers

Answer: The number is -12

Step-by-step explanation:

The situation can be represent by the equation  

 [tex]\frac{n}{-2} = -4 + 10[/tex]     Now solve for n   by combining like terms on the right side

[tex]\frac{n}{-2}[/tex] = 6     multiply both sides by -2  

n = -12

50 POINTS!!!!!.......SOMEONE HELP!!IT IS VERY EASY!!

Which of the following is not a characteristic of a line?

Series of points
Undefined term
No depth or width
Two endpoints

Answers

I think the correct answer to which of the following is not a characteristic of a line is two endpoints

Answer:

has two endpoints

Step-by-step explanation:

a line goes on forever but a segment does have two endpoints

What is the value of the expression 8-(7-4) +12x2

Answers

8-3 +12×2
8-3+24
5+24
your answer is 29

Answer:

-24

Step-by-step explanation:

8-(-7-4)+12*2

8(-7+4)+12*2

-56+32+12*2

-24+12*2

-12*2

-24

Hope this helps ;) ❤❤❤

FACTOR !!!

a) 5x^2+25

b) 2x^2-3x-2

Answers

Step-by-step explanation:

(a): 5x^2 + 25 = 5 * x^2 + 5 * 5 = 5(x^2 + 5).

(b): 2x^2 - 3x - 2 = 2x^2 - 4x + x - 2

= 2x(x - 2) + 1(x - 2) = (2x + 1)(x - 2).

Simplify 5(2r+1)-3(-4r+2)

Answers

Answer:

22r-1

Step-by-step explanation:

5(2r+1)-3(-4r+2) Distribute the terms

10r+5+12r-6 Combine like terms

22r-1

Answer:

5 ×( 2r +1) - 3 × ( -4r +2)

= 10r +5 +12r -6

= 22r -1

what is the product of -9(5-2x)​

Answers

Answer:

-45+18x

Step-by-step explanation:

Don't call me square! While I have four right angles,
that term wouldn't be fair. While I have two parallel
sides, they both measure a different size. What shape
am I?

Answers

Answer:

rectangle

Step-by-step explanation:

two sides are longer than the other while being parallel

if u can, pls help me ( I WANTED TO PUT 30 POINTS, BUT I ACCIDENTALLY CLICKED 10

Answers

I really can't see what you wrote

Let a and b be numbers and b70, and let m and n be positive integers. Write each expression using the fewest number of bases possible. ​

Answers

Answer:

umm...sorry but plz can u tell me of which class is it

What is the decimal approximation of 11
after ROUNDING to the nearest tenth?

Answers

Answer:

  11.0

Step-by-step explanation:

11 is an integer. Rounding to any precision of 1 or less does not change its value. You can express the fact that the digit in the tenths place is zero, if you like.

  11.0

In a simple frequency distribution, to determine _______________, we divide the observed range by the number of intervals.

Answers

Answer:

Interval width

Step-by-step explanation:

In normal statistics, we calculate range as difference between Maximum Value and Minimum Value of the data given.

However, in group simple frequency distribution, we have what we call interval width which is simply the range of values contained in each interval.

To determine this interval width, we we divide the observed range by the number of intervals chosen.

what is the gcf for 84 and 54

Answers

Your answer for the greatest common factor is 6

HELP!! What is f(x) = 4x + 8 when x = 7

Answers

Answer:

Subtract 2 2 from 2 2 . Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x4−2 f - 1 ( x ) = x 4 - 2 is the inverse of f(x)=4x+8 f ( x ) = 4 x + 8 .

Answer:

36

Step-by-step explanation:

4(7) = 28

28+8=36

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