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Hint:  

Think about 160,  an obvious square number that goes into 160 is 16.  So you can do this.

\(\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}\)

Now simplify all the other squareroots yourself and then get back to us. 

The symbol   \(\subset\)     means  'is a subset of'

If     \(S \subset H\)     that would mean that every single element of S is included also in H.   

H might have some extra elements as well  but   EVERY element in S must be in H

Now you can answer the questions.

You can discuss your answers with us if you need to. 

I understand it now. The question was just poorly written. 

Karlee searched for “Edmonton Oilers” on the Internet with quotation marks.  Chase searched for Edmonton Oilers without quotation marks.  Did they get the same results?  Explain. 

When you put quotation marks around the phrase, you're telling the browser to search for that specific character string.  Return results only that have that exact sequence of characters, including the space.  It's sort of analagous to the parentheses in math.   

With no quotation marks, you're telling the browser to find documents that have both the words, but they can be anywhere in the document.  They can be far apart, they can be in the other order, just as long as both words are somewhere in the document. 

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Here's an answer made by heureka 

https://web2.0calc.com/questions/algebra_50125

thank you 

the sum of seven consecutive integers is "-14" what is the smallest of these seven integers.   please help  

–5   –4   –3   –2   –1   0   +1   =   –14   The smallest is –5.    

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Fist thing I did was graph it.

Thanks for the question, glad i could help, tell me if you understood.

Using algebra:

If Marco has 6 as many stamps as ben,

You can let Ben = x

Then Marco would be 6x

A ll of the stamps combined would be 7x, which is equal to 42

Therefore: 7x = 42 and x = 6

Once you know x you know that Ben is 6 (x) and that Marco is 36 (6x)

These are the 2 amounts, you can also re-check by adding them (42) and making sure they add up to the total (42).

With the two amounts of both Ben and Marco, you can simplay find the difference by subtracting Marcos amount with Bens, (36-6).

This is equal to 30, therefore Marco has 30 more stamps than Ben.

First guest has it correct..... second guest didn't use  - 7   but used  + 7 in the right hand expansion.

x + .05 x  = 800

1.05 x = 800

x = 800 / 1.05 = __________

... 30 more stamps than Ben. 

D is on side AC of Triangle ABC. We know [ABC] = 120, AD = 8, DC = 3. What is [ABD]?

----------------------------------------------------------

Angle BAC = 90º

AC = 11

AB = 1/2(240 / 11)

[ABD] = 1/2(AB * AD) = 87 ³/₁₁

Hint:   ∠ACB ≅ ∠CAB = 45º           ∠ACD ≅ ∠ADC = 75º

No!  The right-hand side of your first line should be -21 + 7x + 3x.

The correct answer is 6.

What is a rational number?     

It's a number that can be expressed as a ratio.  Get it .... rational number?  

0.25 is a rational number because it can be expressed as 1/4.  

sqrt(49) is a rational number because it can be expressed as 7/1.  

sqrt(3) is not a rational number.  pi is not a rational number.  

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This answer caused me to flash on y = 1/x.  

That graph has two lines that don't intersect.  

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Interestingly enough, I got 2.5 for my answer.

Thank you

8x + ( 16-25)    =   7x - 21 + 3x

8x - 9               = 10x - 21

- 9 + 21 = 10x - 8x

12 = 2x

x = 6

A graph that has two lines or functions shown on it that do not cross or intersect.