Question

PLEASE HELP

The coordinate plane below represents a city. Points A through F are schools in the city.

graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. Point E is at 2, 4. Point F is at 3, negative 4.

Part A: Using the graph above, create a system of inequalities that only contain points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Answer 1

Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A.

Part C: Timothy can only attend a school in his designated zone. Timothy's zone is defined by y < 3x − 3. Explain how you can identify the schools that Timothy is allowed to attend. (2 points)

Answer 2

@misty1212

Answer 3

please help me

Answer 4

I could but I'm not good at it unless I can see the graph sorry

Answer 5

i can send a piture of it if needed

Answer 6

please help

Answer 7

The concept is easy. The math is a little tough.

The inequalities you want to write are in the form of lines

The points D and E can both be shown to be above two lines. Can you name them?

use the points to name the lines
for example greater than AB would be a shaded area from a line between points A and B that includes points C, D, E and F

It is very confusing but try to answer my question.

Answer 8

ok

Answer 9

y>3 and x>-3. Shade above y=3 and to the right of x-3

Answer 10

is that right?

Answer 11

Yes that does work. I just thought they wanted us to somehow incorporate the lines between the schools.

I was thinking one line would be greater than AC and the other line would be greater than BC. The shaded area of those two lines would include D and E.

But your answer also seems to work and I don't see anything in the instructions that I have to use the school points in my description of the lines.

Answer 12

so what's the answer?

Answer 13

What is part A, B, and C

Answer 14

@AloneS @Elsa213

Answer 15

@GIitter

Answer 16

Please help me I really need help I have been working on this for 9 hours

Answer 17

@22chocolate22

Answer 18

ok, we want to draw 2 lines such that when we shade the area between those 2 lines, that area will only cover points D and E

do you understand?

Answer 19

a little

Answer 20

so the 2 lines could be

Answer 21

ok

Answer 22

or

Answer 23

ok so what do I put for Part A?

Answer 24

or

as long as whatever region you shade contains D and E

Answer 25

well, you would first need to determine what lines you want to draw and the equations of those lines

Answer 26

y>3 and x>-3. Shade above y=3 and to the right of x-3

Answer 27

is that one or no

Answer 28

one sec, let me draw it out

Answer 29

yea, those inequalities and instructions are perfect

Answer 30

ok

Answer 31

yaya

Answer 32

A and C are not included in the region so you;re golden

Answer 33

so I can put those down for Part A?

Answer 34

of course...
why would you not be able to? it solves what the question is asking for

Answer 35

ok so what is Part B?

Answer 36

how do you verify that point D and point E are actually within the shaded region depicted by the inequalities you wrote down

Answer 37

this is actually quite easy,

you take the point, and you substitute it into the equations

if they're true for both points in both equations, then they lie in the defined region

Answer 38

I don't know Im really not good at this :(

Answer 39

ok, so lets look at point D (-2,4)

Answer 40

ok

Answer 41

your 2 lines are
y>3
x>-3

Answer 42

yes

Answer 43

is 4>3 true?
is -2>-3 true?

Answer 44

yes

Answer 45

see how i substititued y=4 and x=-2 which correspond to point D

Answer 46

to verify you have to use both of the x,y values in the inequality?

Answer 47

you substitute the point into your system of inequalities, and if both statements comes out as true, then the point lies within our region

Answer 48

both x and y

Answer 49

Ok so what do I put down specifically for Part B:

Answer 50

Are you still there?

Answer 51

you substituted the points into your inequalities and all statements were true

something along those lines

Answer 52

ok thankyou can you help me with Part C:?

Answer 53

ok, look at the graph they gave you,

draw the line y = 3x − 3

then determine which region of the line satisfies y < 3x − 3

lastly, determine which points are in that region

Answer 54

one note, any points that happen to lie on the line of y = 3x − 3 do not count since the actual inequalities if less than and not less than or equal to.

Answer 55

Im not good at graphing

Answer 56

ok so is it c or F

Answer 57

yup

Answer 58

y-intercept is -3

Answer 59

ok So he can go to either the C or the F school for Part C?

Answer 60

slope is 3