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\(\text{Suppose $c\neq 0$}\\ y = f(c x)\\ x = \dfrac{f^{-1}(y)}{c}\\ \text{In other words for all values of $c\neq 0, g(x)$ is invertible}\\ \text{The sum of $0$ is $0$}\)

Ah, I see.

I know how to do this now.

1.

I think it is 4, 5.

This is because of SAS theorem, the other choices don't match up to SAS, remember that the sum of the angles on a triangle add to 180. That means triangle 5 also has an angle of 45.

2. 

I think it is 3, 5

This is AAS theorem, and only 3 and 5 match the AAS exactly.

Haha ... JK      ~EP

The blue graph is 1/2 the HEIGHT of f (x)

sooooo 1/2 f(x)    AND it is shifted UP by 2

1/2 f(x) + 2

It's not right but thank you!!

Yes that is gud explanation :)

that was me I dont know why it wouldnt let me log in

This may be wrong...

Look at the y-intercept, not the vertex.

The before y intercept is -2, 

The after y intercept is 1.

So I think it is f(x)+3

If the new triangle shares two vertices with triangle abc, it shares the side between those two vertices. Given an edge of triangle ABC to be shared, there is only one edge of the new triangle to share it: the one with the same length. There are four ways to choose how an edge XY of the new triangle share an edge, say , AB of the original:  X could fall on A or on B (causing Y to fall on B or A, respectively), and the third vertex could be on either of the two sides of line AB, giving 2*2=4 possibilities. One of these possibilities is forbidden, though, because it would have all three vertices of the new triangle sharing with triangle ABC. Thus, there are three legal ways that a given edge of triangle ABC can be shared.

Since there are three ways that the new triangle can be placed to share a given edge and three possible edges to share, our answer is 3*3=9.

PLZ HELP THIS IS DUE BEFORE THE END OF THE DAY

thank you guys

Why is that, guest?

Based on the Side angle side theorem, x should be 30 degrees.

This is because the given sides of ABD is same as the given sides of DBC. And if the angle of DAB is 30, then the angle of DCB is 30.

The answer is 9!

A regular absolute value equation like y=|x| will look like

So if the constant exists, like y=|x| + 2

The "V" moves 2 units up

And if something within the absolute value exists, say y = |x - 4|

If it is negative, then the V is 4 units right, if it is positive, the V is 4 units left.

I just need the steps to know how to do it.

ah that makes sense 

Probably to graph it?

:0 but what are we supposed to do with that? do we graph it or? 

or maybe im dumb and i dont know lol 
 

I read the second book of the trilogy in fifth grade.

I read it because the cover picture looked cool, because I judged the book by its cover XD.

But after reading it, I saw the universe differently.....

Sounds pretty interesting to me! 
I'll definitely read it :) 
Thank you CU. 

Yes, I know this classic book. I am saving it later this year for my book analysis.

I recommend this science fiction book by a foreign author. Barack Obama during the last years of his term in office bought and read the book, and he thought it was amazing.

The book is called the Three-Body Problem, based on a real life unsolved math problem.

It explores theories on if we are alone in this universe, and questions are progress in technology. This is a book for mature people though, as it contains some math concepts and historical events that are usually learned in the later years of education.

This book is amazing, as it was the first book I read where humanity is a primitive civilization compared to other alien civilizations, contrast to star wars and star trek.

The science is realistic, yet fantastic at the same time. This book is the first book of the three-book trilogy. 

OMG THANK YOU. I did not understand this question but this is the correct answer. Thank you for looking into this! :)

I think what he/she means is: What is the last WHOLE INTEGER ??? If that is what is meant, then:

1,000,000, 500,000, 2,500,000, 1,250,000, 6,250,000, 3,125,000,15,625,000, 7,812,500, 39,062,500, 19,531,250, 97,656,250, 48,828,125, 244,140,625.

The last WHOLE INTEGER is =244,140,625 =5^12

Make sure that you have stated the question accurately. If you were to start with a 1,000,000 and DIVIDE by 5, then MULTIPLY by 2, then it would CONVERGE to something. But, NOT the way the question is stated !!.