Melody

Oh I forgot to add the dimensions

4.5 ft by 7.5 ft by 11.25 feet

I have not thought about it very hard but the HCF of 450, 750 and 1125 is 75

so maybe the answer is 6*9*10=540

Richard cuts a  rectangular prism into congruent cubes without any part of the prism leftover. If he makes the cubes as large as possible, how many will he produce?

It would depend on the dimensions of the prism.

Technically a cube is a rectangular prism so if the rectangular prism in the question is a cube then the answer is 1.

How do you know that guest?

Have you drawn this Manuel?

You must draw it.  

What are the tests that you can use to show that two triangles are congruent? (congruent means 'the same') ?

Come on EP.

Don't you think our guest could have and should have made that correction for him/herself ?

OR they could have asked if it was an error if they were not sure. 

How wonderful it would be if more of these question askers interacted with us.

f(x)=-2|x-4|+3 describe trasformations.

For x>=4  

This is the graph of -2x+8  but it is vertiacall lifted by 3 soit becomes the graph of  -2x+11

This is reflected in the line x=4 to get the other half of the graph.

z-5=z-5 

Thanks for that great answer guest, 

I will just try to show a little clearer what I think you have done.

First add 1 to both sides.

\(x+1 = 2 + \cfrac{1}{2 + \cfrac{1}{2 + \cfrac{1}{2 + \cfrac{1}{2 + \ddots}}}}\)

now

\(x+1 = 2 + \cfrac{1}{x+1}\\ x-1 = \cfrac{1}{x+1}\\ x^2-1 = 1\\ x^2=2\\ x=\pm\sqrt2 \\ \text{But everything is positive on the RHS so } x>-1\\ x=\sqrt2\)

See my last 2 answers.

See my last answer.