your second line is not equivalent to your first line.
Why do you think
\(2logx+2=log 900\)
can be simplified to
\(log(x+2)^2= log 900 \)
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\(2logx+2=logx^2+2=2+log(x)^2\)
Just draw the line y=x+1 on top of the graph and see where the two graphs cross each other.
Add up the x values of the co-ordinates
Please no one give a full answer
In how many ways can 6 distinct beads be placed on a bracelet? (Note that two arrangements are the same if one can be rotated or reflected to produce the other.)
Just put one of the beads down. (that takes care of rotation)
there are 5 beads left
there are 5! places to put them 5! = 120
Now given that the first place is fixed I think there is only one axis of symmetry that counts
120/2 = 60
We got the same answer but i won't guarentee that it is correct.
"The constant coefficient is 17."
I do not think so guest. Do you want to try again?
\(y=\frac{(x-2)^2-9}{3}\)
If y is 0 then solve for x.
Hint: there are 2 answers
If x is 0 solve for y
there will be one answer.
Now you have 3 points, join them to form a triangle.
If you sketch it you will see the base and the height very easily.
Now find the area of the triangle.
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This is a teaching answer, please do not answer over me with a fuller answer.
Thanks Hectictar
That is a great answer. !
I've never seen that Euclidean algorithm before, at least I've not seen it used in that way.
Ok I will follow your instructions.
Take the smallest nonzero number, subtract it from the other nonzero numbers, repeat until one nonzero number remains, that is the gcd.
the numbers are
9118, 12173, and 33182.
the smallest is 9118
subtract smallest non zero from each of the bigger non-zeros
9118-9118, 12173-9118, and 33182-9118
0 , 3055, 24064
again
0, 0, 24064-3055 = 21009
This is clearly not what you meant guest but it is what I understood you to say.
Oh ok guest.
Why don't YOU answer with the Euclidean algortith then.
The only euclidean algorithm I know could not be used for this.
I sposs I could look it up but since you already know why don't you share with us.
Find the greatest common divisor of 9118, 12173, and 33182.
Factor(9118) = {2, 47, 97}
Factor(12173) = {7, 37, 47}
Factor(33182) = {2, 47, 353}
Greatest common divisor = 47
It is the only prime factor that they all have in common.
I don't understand.
If the angles are all the same then the sides are all the same.
What am I missing?