geno3141

Division by zero is undefined because it produces no single answer.

To check division, multiply. For example    14 ÷ 7 = 2   because   7 X 2 = 14. 

If you have any non-zero number, such as 6, and divide it by zero, there is no possible answer.

        6 ÷ 0 = ?      To solve this, you need an answer for which ? X 0 = 6. This is impossible. No number works!

If you take 0 and divide it by 0, you get a different problem, because every number works!

       0 ÷ 0 = ?       Here, you can use any number for an answer. 

                            0 ÷ 0 = 27   because 0 X 27 = 0

                            0 ÷ 0 = -4   because 0 X -4 = 0    Similarly, every number works.

In the first case, you get no answer, in the second case you get no single answer.

As a decimal approximation, √896 ≈ 29.93.

If you want your answer in simplest radical form, find a perfect square (4, 9, 16, 25, 36, 49, 64, 81, ...) that divides into 896 evenly (no remainder):

896 ÷ 4 = 224

224 ÷ 4 = 56

56 ÷ 4 = 14  

(14 cannot be divided evenly by any perfect square, so stop) 

There have been three successful divisions by 4,

So, 896 = 4 x 4 x 4 x 14    

--->   √896 = √4 x V4 x V4 x √14    =    2 x 2 x 2 x √14    =    8 x √14    =    8√14

1) Using the quadratic formula: 2 ± 2i√3

2) 0° Use "their", not "there".

'MATHS" -- Do you have the SATs in the British Empire?

w^6 · x^5 / ( w^2 · x^3 )    =    3^6 · 4^5 / ( 3^2  ·  4^3 ) = 1296

This problem can be reduced: the w^6 / w^2 becomes w^4

                                       and the x^5 / x^3 becomes x^2

so the problem reduces to     w^4  · x^2    =   3^4 · 4^2    =    1296

Hit (2nd) tan  --- which will give you tan−¹ --- because you want  tan−¹(-1)

Sun = 1.9 x 10^30 = 19 x 10^29

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Earth = 5.9 x 10^24 ---> if we want to find how many earths that it would take to make a sun, we need to divide the size of the sun by the size of the earth:    

(19 x 10^29) ÷ (5.9 x 10^24 ) = (19 ÷ 5.9) x (10^29 ÷ 10^24) ≈ 3.2 x 10^5

(Divide 19 by 5.9 to get 3; divide 10^29 by 10^24 to get 10^5 (subtract exponents).)

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Venus = 4.9 x 10^24 ---> Dividing the size of the sun by the size of Venus:

(19 x 10^29) ÷ (4.9 x 10^24 ) = (19 ÷ 5.9) x (10^29 ÷ 10^24) ≈ 3.9 x 10^5

√-25 is not real because there is no real number, which when multiplied times itself, results in -25

5 x 5 = 25; -5 x -5 = 25 (these are the only two reasonable possibilities)

√-25 = √(-1 * 25) = √-1 * √25 =  √-1 * 5

The symbol 'i' is used to represent √-1, so the answer is usually written as 5i., where i is an imaginary number, not a real number.

Being a straight multiplication problem, my calculator gives 75014.4

The domain is defined to be the possible x-values, so if x<-1, the domain consists of those numbers that are less than -1.

The range is defined to be the possible y-values, so if y = 2x + 8 and x < -1,

replacing x with -1, we have y = 2(-1) + 8 = 6. Thus if x < -1, y < 6.

Domain: -∞ < x < -1

Range:   -∞ < y < 6

Move the decimal point until it is after the first non-zero digit. 

This will require that you move it 5 places to the left; each time you move it one place to the left, you are multiplying by 10. In this case, you are multiplying by 10^5.

490000.0001 = 4.900000001 x 10^5

Keep each of the zero digits that are between the 9 and the 1.