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549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:21:51
bc the rate of change at that point is 0
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:21:52
graphically
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:21:54
a straight line
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:21:57
linear
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:22:00
so = 0
1
0
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:02
ok
0
1
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:09
but you just used the definition
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:10
ok
0
1
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:16
but what happens around the point
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820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:22:25
it can increase or decrease
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:26
more specifically for a parabola
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:28
yeah
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:34
it first goes one way
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:22:34
if u go slightly up or slightly back
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:36
and then the other
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:22:53
so if we know this property of the parabola
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:23:13
and the graphical definition of der
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:23:28
we can deduce that when der = 0, it's the max/min of the parabola
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:23:43
which is not necessarily true for other functions
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:23:55
so e^2x has no parabola so therefore this does not apply to it
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:24:17
so what is the derivative of e^2x showing then
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:24:22
the derivative of e^2x is never 0
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:24:30
as you can see
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:24:35
yh that makes sense now
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:24:43
it approaches 0 for -inf
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:25:07
right, its an exponential
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:25:23
the derivative of this function is itself times 2. and graphically it's exactly what we see
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:26:09
it just shows that the rate at which it grows is related to the input
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:26:31
okai okai
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:26:37
can i ask u something about functions
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:26:38
but more simply it just means that the function decreases fast to the left and increases fast to the right
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:26:44
ask
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:26:54
but then I leave to other questions :))
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:27:00
a function can only give u 1 answer
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:27:07
output
0
1
820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:27:09
yes
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:27:11
so in the sinx and cosx graph
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:27:14
per 1 input
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549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:27:17
is it limited
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0
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:27:29
in the same way the inverse graphs are
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:27:34
or no
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:27:35
huh
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:27:41
I am not sure I understand
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:28:06
The inverses of sin and cos will have infinite solutions for each input (or no real solutions at all)
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:28:33
so the sin cos and tan graphs have 1 output which can have many inputs
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:28:37
?
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:28:44
correct
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:28:56
okai makes sense :3
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:29:04
thanks
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:29:29
.close
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0
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:29:33
bro wait
1
0
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:29:35
just a sec
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:29:38
https://en.wikipedia.org/wiki/Bijection,_injection_and_surjection
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:29:49
I highly recommend reading this *slowly*
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0
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:30:07
a function is necessarily injective by definition
1
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:30:20
meaning each input has exactly ONE output
1
0
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:30:35
but not necessarily surjective
1
0
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help-10
3c34380807414ecaad25f58b36d203ff
820,738,377,962,750,000
flr
02/07/2022 09:30:44
.close
1
0
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551
help-10
a518aaec1a5049079fdf3791a30afbd2
289,836,801,953,234,940
temporary
02/07/2022 09:30:55
dunno what that means
1
0
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551
help-10
a518aaec1a5049079fdf3791a30afbd2
289,836,801,953,234,940
temporary
02/07/2022 09:30:58
shall read
1
0
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551
help-10
a518aaec1a5049079fdf3791a30afbd2
820,738,377,962,750,000
flr
02/07/2022 09:31:08
good luck bro
0
1
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551
help-10
a518aaec1a5049079fdf3791a30afbd2
289,836,801,953,234,940
temporary
02/07/2022 09:31:16
its not really even something i need to learn for school more out of interest
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0
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help-10
a518aaec1a5049079fdf3791a30afbd2
289,836,801,953,234,940
temporary
02/07/2022 09:31:17
thanks
1
0
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551
help-10
a518aaec1a5049079fdf3791a30afbd2
820,738,377,962,750,000
flr
02/07/2022 09:31:31
proud of ya. Godspeed
0
1
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help-10
a518aaec1a5049079fdf3791a30afbd2
228,305,143,752,294,400
AJ The Greattt
02/07/2022 09:44:55
How can I graph sum of these two vectors without them touching each other? I thought that I could just add the components but if I do that how could I know the initial point of the vector (since the question didn't specify from the origin of the plane or not)?
https://cdn.discordapp.c…7246/unknown.png
unknown.png
0
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help-10
a518aaec1a5049079fdf3791a30afbd2
186,109,587,366,215,680
Omegabet_
02/07/2022 09:46:48
You move the vectors so they're tip to tail
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 09:47:05
I remember this from the beginning of the year (In physics)
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 09:47:09
You just translate them over
0
1
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551
help-10
a518aaec1a5049079fdf3791a30afbd2
228,305,143,752,294,400
AJ The Greattt
02/07/2022 09:52:42
So, I could use the triangle law of vector addition, and get something like this?
https://cdn.discordapp.c…3021/unknown.png
unknown.png
0
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help-10
a518aaec1a5049079fdf3791a30afbd2
228,305,143,752,294,400
AJ The Greattt
02/07/2022 09:54:41
To be more specific.
https://cdn.discordapp.c…7856/unknown.png
unknown.png
0
1
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 09:56:52
One sec
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1
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:01:22
https://www.desmos.com/calculator/motbvizh8o
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1
289,836,801,953,234,940
temporary
2031
temporary
false
551
help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:01:40
Or it might be the other way
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:01:41
Whatever
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1
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:01:49
This is how I always did it
0
1
289,836,801,953,234,940
temporary
2031
temporary
false
551
help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:03:16
OK yeah I did it right
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:03:27
@AJ The Greattt
0
1
228,305,143,752,294,400
AJ The Greattt
0028
AJ The Greattt
false
551
help-10
a518aaec1a5049079fdf3791a30afbd2
228,305,143,752,294,400
AJ The Greattt
02/07/2022 10:04:26
So does it matter which tip I put to which tail?
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:05:18
Yes
0
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:08:37
@AJ The Greattt I haven't done this in a while forgive me, but I think it somewhat matters which one you put to which
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help-10
a518aaec1a5049079fdf3791a30afbd2
521,326,998,195,273,700
shreksdad
02/07/2022 10:09:44
@Omegabet_ Help me out here lol physics minor
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help-10
a518aaec1a5049079fdf3791a30afbd2
228,305,143,752,294,400
AJ The Greattt
02/07/2022 10:50:51
I figured I'd just ask my teacher and she said that either tip to either tail would work just fine for solving these. Thanks.
0
1
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help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 10:52:43
https://cdn.discordapp.c…7776/unknown.png
unknown.png
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null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 10:52:55
is the angle A bisected when we draw median
1
0
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 10:53:02
from A to BC
1
0
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 10:55:49
hmm i think no we can not prove ABD ADC congruent
1
0
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
521,326,998,195,273,700
shreksdad
02/07/2022 10:57:05
I think not, but it is possible if its like an isosceles triangle where its the angle created by the congruent sides (Also for equilateral triangles)
0
1
null
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552
help-10
ed120058e5cd468ebe057115ba33ad10
692,654,133,785,657,300
Alexander42
02/07/2022 10:57:40
in general no: AD is a bisector if AB:AC=BD:DC
0
1
228,305,143,752,294,400
AJ The Greattt
0028
AJ The Greattt
false
552
help-10
ed120058e5cd468ebe057115ba33ad10
706,934,233,012,371,600
Ansh_
02/07/2022 11:04:40
which implies AB = AC is a necessary condition :o
0
1
null
null
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null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
706,934,233,012,371,600
Ansh_
02/07/2022 11:04:54
which means BC = 0
0
1
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
706,934,233,012,371,600
Ansh_
02/07/2022 11:05:08
which means, your right triangle is a ... uhmm
0
1
228,305,143,752,294,400
AJ The Greattt
0028
AJ The Greattt
false
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 11:08:53
oh right
1
0
186,109,587,366,215,680
Omegabet_
9771
Omegabet_
false
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 11:09:07
sides bisected ratio = sides containing the angle ratio
1
0
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 11:09:16
i almost forgor
1
0
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 11:09:19
thanks all
1
0
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 11:09:59
ganyu 👀
1
0
null
null
null
null
null
552
help-10
ed120058e5cd468ebe057115ba33ad10
722,075,505,230,348,400
Oreo
02/07/2022 11:10:54
.close
1
0
null
null
null
null
null
553
help-10
e81cb86d05cf4070b7da2e73457030ed
923,268,887,909,384,200
lacertae
02/07/2022 11:15:11
help
1
0
null
null
null
null
null
553
help-10
e81cb86d05cf4070b7da2e73457030ed
923,268,887,909,384,200
lacertae
02/07/2022 11:15:44
In triangle ABC, symmetrical bisector of AC crosses AB at point Q
1
0
null
null
null
null
null
553
help-10
e81cb86d05cf4070b7da2e73457030ed
923,268,887,909,384,200
lacertae
02/07/2022 11:16:05
Find perimeter of triangle ABC, if triangle QBC = 22 cm and AC = 9
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