Mathematics
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OpenStudy (anonymous):
are 3x + 33/ x+ 11 and 3 equivalent? Using complete sentences explain why or why not.
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OpenStudy (diyadiya):
I can show you how
OpenStudy (anonymous):
Thanks!
OpenStudy (diyadiya):
\[\frac{3x+33}{x+11}= \frac{3(x+11)}{(x+11)}=\frac{3\cancel{(x+11)}}{\cancel{(x+11)}}=3\]
OpenStudy (diyadiya):
When we factor out 3 from 3x+33 we get 3(x+11)
understood?
OpenStudy (anonymous):
yes
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OpenStudy (diyadiya):
3(x+11) =3*x + 3*11 =3x + 33 ok ?
OpenStudy (anonymous):
ok
OpenStudy (diyadiya):
:)
OpenStudy (diyadiya):
So they are equivalent
OpenStudy (anonymous):
alright :)
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OpenStudy (anonymous):
so how can i explain that in words
OpenStudy (diyadiya):
Sorry My explainations aren't good enough
OpenStudy (anonymous):
its perfectly fine i got it can you help me with something else please
OpenStudy (anonymous):
Using complete sentences, explain each step in simplifying the ratio
x^2 + 8x
--------------
x^2 + 10x + 16
OpenStudy (anonymous):
and provide the simplified form.
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OpenStudy (diyadiya):
You have to factorise both equations x^2 + 8x & x^2 + 10x + 16
OpenStudy (diyadiya):
How do you factorise x^2 + 10x + 16 ?
OpenStudy (anonymous):
(x+8)(x+2)
OpenStudy (diyadiya):
Yes Exactly!!
OpenStudy (diyadiya):
Now x^2 + 8x
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OpenStudy (anonymous):
x(x+8)
OpenStudy (diyadiya):
Yes Now put it in a fraction ....& cancel out (x+8) since its common
OpenStudy (anonymous):
alright then what do you get
OpenStudy (diyadiya):
x(x+8)
----------
(x+8)(x+2)
what do you get after cancelling (x+8) ?
OpenStudy (anonymous):
um not sure
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OpenStudy (diyadiya):
Try ,its ok if you're wrong
OpenStudy (anonymous):
i gotta go..
i gotta go get dinner.. its getting late
OpenStudy (diyadiya):
Oh ok
OpenStudy (diyadiya):
cya later then :)