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ExtremeBDS [4]
3 years ago
10

Graph the following figure in the coordin X(0,1), Y(4, - 2), Z(-5,-2) The perimeter is

Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer: I am in highschool and im doing this stuff. If you find out the answer let me know please.

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JIMMMMMM
Vitek1552 [10]
>= means greater than or equal to
<= means less than or equal to

---------------------------------------------

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

--------------

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

--------------

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions. 

---------------------------------------------

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas. 

7 0
3 years ago
Read 2 more answers
Find area and perimeter of the rectangle or square ​
Radda [10]

Answer:

Area:702

perimeter: 114

Step-by-step explanation:

24x27=648

6x9=54

648+54=702

27+24+18+6+9+30=114

4 0
2 years ago
Explain whether the following given sets are closed under addition:
Ivan

Answer:

Step-by-step explanation:

a) Yes.

\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)

b) Yes

W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\

c) Yes

\forall n\ \in\ \mathbb{N}: \Longrightarrow\ n+1 \in\ \mathbb{N}\\

d) No

3\in V , 3+3=6\notin V\\

7 0
3 years ago
Simplifying the following expression:<br> 6x + 2(3x + 5) + (-9)
Nezavi [6.7K]
= <span>6x + 2(3x + 5) + (-9)
= 6x +6x + 10 - 9
= 12x + 1

In short, Your Final Answer would be 12x + 1

Hope this helps!</span>
3 0
3 years ago
Read 2 more answers
Solve the equations. 2.5x−3.67=1.52
aleksklad [387]
Our current equation is:
2.5x -3.67 = 1.52.
To solve for x, we need to get x by itself and then simplify what we can from there.
2.5x -3.67 = 1.52
Add 3.67 to both sides to get 2.5x by itself.
2.5x = 5.19 is now our new equation.
Divide both sides by 2.5 to get x.
5.19/2.5 = 2.07
x = 2.07
I hope this helps!
5 0
3 years ago
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