All Answers 358098 Answers

Yes, you can find a value, but it will remain to be a very, very long decimal number. I think it is 34.6410161514..... but if you are looking for a whole number, then the answer is no. 

x^2-81                  x^2-9x

..........        *          ..........

x^2                        x^2+x-90

To rationalise is to remove any surd expressions from the denominator...

Therefore this is not a 'rationalise the denominator' question

However to work it out you:

1) Factorise the different expressions:

(x+9)(x-9)                   (x-9)(x+0)

...............          *         ...............

(x+0)(x+0)                    (x+10)(x-9)

2) Now you cancel them out:

x+9                      x-9

........         *         ......

x+0                     x+10

3) Finally you times them together to get:

x^2-81

.........

x^2+10

(I am pretty sure this is right, However I acknowledge that I am not the greatest of mathematicians. If you think you see an error please correct me, don't just assume it is right because there is loads written and it looks neat.)

Thanks...

:)

a. 3,___, ___, ___, 768

768 = 3r^5-1   divide both sides by 3

256  = r⁴     take the 4th root of each side

4  = r

So ....terms 2 - 4 are given by : 

a₂  = 3(4)^2-1  = 3(4)¹ =   12

a₃  = 3(4)^3-1 = 3(4)²  = 48

a₄  = 3(4)^4-1= 3(4)³ = 192      

b. ___,___,144,___,___,___,9

9  =     a₁(r)⁶     (1)

144  = a₁(r)²     (2)

Divide (1) by (2)   and we have

9/144  = r⁴    →    1/16  = r⁴    take the 4th root of both sides  →  r = 1/2

So ....   using (1)

9 = a₁ (1/2)⁶

9 = a₁ (1/64)    multiply both sides by 64

576  = a₁     and each successive term is 1/2 of the previous one.....

So......term 2  =  576/2  = 288

And terms  4 - 6  are     72, 36, 18

I don't know of any other way to solve for that. That is the only way I know how to. Sorry. 

5x^2+21x=-18

5x^2+21x+18=0

a=5

b=21

c=18

By completing the square you get the answers:

-6/5 and -3

Very impressive, Mathaholic.....!!!!

Thanks :)

appreciated

Thanks, Mathaholic for that answer....BTW.....welcome aboard....!!! 

450*5=2250

2250/1000=2.25

He swims 2.25 km every week which is less than his intended goal of 3

3x+2=6

3x=6-2

3x=4

x=4/3

663+1,200+23=1886

x=0

i think....

hahahahhahahhahhahahahahahahahahahahahahahahaha answer

The sequence so far:

0,0,1,0,0,1,6,0,1,0,2,1,6,6

The next 10 numbers are:

1,0,16,1,18,0,6,2,22,1

This is the length of the period of decimal representation of 1/n, or 0 if 1/n terminates.

S = ?

U = 0

V = -49.1

A = -9.91

T = ?

V=U+AT

-49.1=-9.91t

-49.1/-9.91 = t

i think

a=1

this is because:

5a+6a=11a

11a=11

a=11/11

a=1

Draw two equal sized pentagons and draw a line to each corresponding vertex

Deez nutz

1.989 × 10^30 kg

Just use parentheses around a numerator divided by a denominator. For example, (5/8) is five-eighths.

10, 20, 30

-5/9

water has an index of refraction of 1.33 what is the speed of light in water?

a₈  = 2a_8-1

12 = 2a₇

a₇  =  6

39 in  = 39/12 ft = 3 + 1/4 ft  =   13/4 ft

10 in  = 5/6 ft

1 in =  1/12 ft        .....so......

(13/4) (5/6) (1/12) =

[65 / 288]  ft^3  ≈  .2257 ft^3