Help Me Please

- BioHazard9064

Help Me Please

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- 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

##### 1 Attachment

- BioHazard9064

Idk for sure

- BioHazard9064

@mathstudent55 @welshfella can you help me?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- BioHazard9064

this sucks xD none can help me

- BioHazard9064

ok @Keigh2015 can you help at all?

- Keigh2015

Sorry man I can't help

- BioHazard9064

ok

- welshfella

First find the equations for each of the lines

- welshfella

eg The line joining (4,8) and (9,13) is y = x + 4

- BioHazard9064

how did you get that?

- welshfella

and area under that is y > x + 4

- BioHazard9064

y > x + 4 is 4,8 to 9,3?

- 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

now you need to do that for the other 3 lines

- welshfella

no (4,8) to (9,13)

- BioHazard9064

ok so

- BioHazard9064

So if (4,8) to (9,13) is y = x + 4

- BioHazard9064

Then
y2 - y1
------ = (4 - 8) / (9 - 3) = ?
x2 - x1

- BioHazard9064

How would I solve that @welshfella

- anonymous

4-9 and -8+3

- BioHazard9064

ok 4-9 is 5 and -8+3 is -5

- anonymous

no 9-4 and -3+ 8 I believe I mixed them up

- BioHazard9064

thats 5 and 5

- BioHazard9064

so 10?

- anonymous

I swear I'm wrong just ask welsh..xD

- 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

wow i cant believe it im so lost rn

- BioHazard9064

is that for 9,3 or 9,13?

- welshfella

that is the equation for the line joining (4,8) and )9,3)

- welshfella

|dw:1440009717505:dw|

- welshfella

there are the slopes of the four lines

- anonymous

wow I just got ignored..:O..well then..bye

- welshfella

|dw:1440009783646:dw|

- BioHazard9064

so for 9,13 to 14,8 is the same then?

- welshfella

sorry - i'm ok in English - not brilliant

- BioHazard9064

so from 9,13 to 14,8 it would be y = -x + ?

- welshfella

yes but you'll need to plug in one of the points - use (9,13)

- BioHazard9064

ok so it would look like

- welshfella

y - y1 = -1(x - x1)
y1 = 13 x1 = 9

- welshfella

you have to always that general form
y-y1 = m(x - x1)

- BioHazard9064

ok so then it would look like this? y = -x + 9

- welshfella

no

- welshfella

y - 13 = -1(x - 9)
now isolate y and simplify the RHS

- welshfella

y - 13 = -x + 9
now add 13 to both sides

- BioHazard9064

13 and 13 so that would be y= - x + 22?

- welshfella

yes

- BioHazard9064

ok so that would be 9,13 to 14,8

- welshfella

we've just done that one

- BioHazard9064

I know

- 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

yep

- BioHazard9064

I dont know how to start it

- welshfella

I 'll have to look the stuff over again I'm not sure if i'm right.
Give me a minute

- BioHazard9064

ok

- 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

ok

- welshfella

so theres the equation for 4 lines
y = x+ 4
y = -x + 12
y = x - 6
y = -x + 22

- BioHazard9064

thanks so much

- welshfella

yw
so the inequalities are
y <= x + 4
y >= -x + 12
y >= x - 6
y <= -x + 22
that defines the shaded diamond

- welshfella

gotta go

- BioHazard9064

ok thanks so much

Looking for something else?

Not the answer you are looking for? Search for more explanations.