BioHazard9064
  • BioHazard9064
Help Me Please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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BioHazard9064
  • BioHazard9064
I need help with 2 and 3 2.The inequalities: Show the work for finding the inequality that defines each segment. 3.A point: Choose a point within the boundaries of the shape, and show algebraically that the point satisfies all of the inequalities
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BioHazard9064
  • BioHazard9064
Idk for sure
BioHazard9064
  • BioHazard9064
@mathstudent55 @welshfella can you help me?

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BioHazard9064
  • BioHazard9064
this sucks xD none can help me
BioHazard9064
  • BioHazard9064
ok @Keigh2015 can you help at all?
Keigh2015
  • Keigh2015
Sorry man I can't help
BioHazard9064
  • BioHazard9064
ok
welshfella
  • welshfella
First find the equations for each of the lines
welshfella
  • welshfella
eg The line joining (4,8) and (9,13) is y = x + 4
BioHazard9064
  • BioHazard9064
how did you get that?
welshfella
  • welshfella
and area under that is y > x + 4
BioHazard9064
  • BioHazard9064
y > x + 4 is 4,8 to 9,3?
welshfella
  • welshfella
first find the slope y2 - y1 ------ = (13 - 8) / (9-4) = 1 x2 - x1 Then plug this and one of the points into the general equation y - y1 = m(x - x1) y - 13 = 1(x - 9) which simplifies to y = x + 4
welshfella
  • welshfella
now you need to do that for the other 3 lines
welshfella
  • welshfella
no (4,8) to (9,13)
BioHazard9064
  • BioHazard9064
ok so
BioHazard9064
  • BioHazard9064
So if (4,8) to (9,13) is y = x + 4
BioHazard9064
  • BioHazard9064
Then y2 - y1 ------ = (4 - 8) / (9 - 3) = ? x2 - x1
BioHazard9064
  • BioHazard9064
How would I solve that @welshfella
anonymous
  • anonymous
4-9 and -8+3
BioHazard9064
  • BioHazard9064
ok 4-9 is 5 and -8+3 is -5
anonymous
  • anonymous
no 9-4 and -3+ 8 I believe I mixed them up
BioHazard9064
  • BioHazard9064
thats 5 and 5
BioHazard9064
  • BioHazard9064
so 10?
anonymous
  • anonymous
I swear I'm wrong just ask welsh..xD
welshfella
  • welshfella
no this line has negative slope and is at right angles to the one joining (4,8) and (9,13) so its slope is -1 y-y1 = m(x - x1) y - 8 = -1(x - 4) y = -x + 4 + 8 y = -x + 12
BioHazard9064
  • BioHazard9064
wow i cant believe it im so lost rn
BioHazard9064
  • BioHazard9064
is that for 9,3 or 9,13?
welshfella
  • welshfella
that is the equation for the line joining (4,8) and )9,3)
welshfella
  • welshfella
|dw:1440009717505:dw|
welshfella
  • welshfella
there are the slopes of the four lines
anonymous
  • anonymous
wow I just got ignored..:O..well then..bye
welshfella
  • welshfella
|dw:1440009783646:dw|
BioHazard9064
  • BioHazard9064
so for 9,13 to 14,8 is the same then?
welshfella
  • welshfella
sorry - i'm ok in English - not brilliant
BioHazard9064
  • BioHazard9064
so from 9,13 to 14,8 it would be y = -x + ?
welshfella
  • welshfella
yes but you'll need to plug in one of the points - use (9,13)
BioHazard9064
  • BioHazard9064
ok so it would look like
welshfella
  • welshfella
y - y1 = -1(x - x1) y1 = 13 x1 = 9
welshfella
  • welshfella
you have to always that general form y-y1 = m(x - x1)
BioHazard9064
  • BioHazard9064
ok so then it would look like this? y = -x + 9
welshfella
  • welshfella
no
welshfella
  • welshfella
y - 13 = -1(x - 9) now isolate y and simplify the RHS
welshfella
  • welshfella
y - 13 = -x + 9 now add 13 to both sides
BioHazard9064
  • BioHazard9064
13 and 13 so that would be y= - x + 22?
welshfella
  • welshfella
yes
BioHazard9064
  • BioHazard9064
ok so that would be 9,13 to 14,8
welshfella
  • welshfella
we've just done that one
BioHazard9064
  • BioHazard9064
I know
welshfella
  • welshfella
lets see what we've got so far y = x+ 4 y = -x _ 12 y = -x + 22 oh we haven't done (9,30 to (14,8)
BioHazard9064
  • BioHazard9064
yep
BioHazard9064
  • BioHazard9064
I dont know how to start it
welshfella
  • welshfella
I 'll have to look the stuff over again I'm not sure if i'm right. Give me a minute
BioHazard9064
  • BioHazard9064
ok
welshfella
  • welshfella
yea the 3 we've done are ok thats y = -x + 12 though for the line from (9,3) to (14,8) slope = 1 take the point (9 ,3) y - 3 = x - 9 y = x - 6
BioHazard9064
  • BioHazard9064
ok
welshfella
  • welshfella
so theres the equation for 4 lines y = x+ 4 y = -x + 12 y = x - 6 y = -x + 22
BioHazard9064
  • BioHazard9064
thanks so much
welshfella
  • welshfella
yw so the inequalities are y <= x + 4 y >= -x + 12 y >= x - 6 y <= -x + 22 that defines the shaded diamond
welshfella
  • welshfella
gotta go
BioHazard9064
  • BioHazard9064
ok thanks so much

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