All Answers 358090 Answers

-2 >= 1/3 x

-6 >= x

x<= -6            so 1/3 of -6  IS -2       now -10    only 1/5 of -10   is -2    this is no more than 1/3 of -10

I think that is what this means?

Yah.....I went around with it for a while.....

d = 1

a₅=11

a₄  thus is 10

a₃  is 9

a₂ is 8

a₁  is 7

7 x 8 = 56

This does not make sense to me.

You have not actually given us the question.  

\(\theta=\frac{2\pi}{5}\)

\(w=e^{(2k\pi/5)i}\qquad k=1,2,3,4\)

That is a start.

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#2

Notice g(x) and f(x) graph intersect at y=2 meaning x=0 .

#1 first question (1,1) 

Second question f(x) (The parabola graph)

Third question, the equation matches g(x) graph, what is asked??

Guest, my answer, that I have not finished, would be vey similar to yours but I think it would be a bit different, probably giving a different answer.   I do like you idea though. 

I can think of other ways to do this but they all involve at least some small amount of trigonometry.

Maybe you could use similar triangles based on 30 and 60 degree triangle.   I suppose you could say that is not trignometry...

But even that I do not think would be quite enough on its own.  You'd also need to know a ittle about angles of any magnitude ...

I suppose yo could do it using co-ordinate geommetry but it would be very lon winded.

This video could be helpful. 

Thank you all so much for your answers, they helped me a lot!! :))

Pay no attention to guests nonsense answer. I will hide it as it adds to confussion.

I have answered this on the original thread. 

A guest has asked me to try and explain my answer better.

This is the request:

10,989 x 9 = 98,901

Not sure of your syntax.... can you re-post it?

This makes a right triangle...hypotenuse = 80

          Height = opposite

sin 40 = opp/hyp = opp/80

.643 = opp/80

51.4 ft  = opp = height

1 / 8!  +  1 / 9*8! = x / (10*9* 8!)

9/(9*8!) + 1 /(9*8!)

10 / (9 *8!)  = x / (10*9*8!)

100/ (10*9*8!) = x / (10*9*8!)

x = 100

sorry, could you do this using geometry instead of trig? The question is short-answer, but I want to understand how to do that without trig.

I think that the third problem is:  (9-x²) / (9x + 27)

This, when factored becomes:  [ (3-x)(3+x) ] / [ 9(x+3) ]

Since (3+x) cancels (x+3):           (3-x) / 9

We can use the sine law to find P1 P2

By the sine law, P1 P2 = sin 15.  We can also find P1 P_3 = sin 60, P1 P4 = sin 90, etc.

So (P1 P2)^2 + (P1 P3)^2 + … + (P11 P12)^2 = 12 (sin 15)^2 + 12 (sin 30)^2 + 12 (sin 45)^2 + … + 12 (sin 90)^2 = 42.

Thanks!

Rate x time = distance

m/s   x   s   = meters

I think so....?