1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastova [34]
3 years ago
5

PLZ help What system of linear inequalities is shown in the graph?

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

In order find the Inequalities, First we need to Find the Equations of Both the Lines.

<u>Equation of First line :</u>

It is passing through the Points (0 , 2) and (4 , 0)

⇒ Slope = \frac{2 - 0}{0 - 4} = \frac{-2}{4} = \frac{-1}{2}

⇒ Equation of the First Line : y - 2 = \frac{-1}{2}(x)

⇒ Equation of the First Line : x + 2y = 4

<u>Equation of Second Line :</u>

It is passing through the Points (1.5 , 0) and (0 , -3)

⇒ Slope = \frac{0 + 3}{1.5 - 0} = \frac{3}{1.5} = 2

⇒ Equation of the Second Line : y + 3 = 2x

⇒ Equation of the Second Line : 2x - y = 3

As the Shaded Area of the First Line is away from the Origin :

⇒ x + 2y ≥ 4

As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :

⇒ 2x - y < 3

So, the System of Linear Inequalities are :

⇒ x + 2y ≥ 4

⇒ 2x - y < 3

You might be interested in
2.465/ 2.5 but I need to show my work.
Ivahew [28]

Answer:

0.986

Step-by-step explanation:

2.5 times 0.986=2.465

8 0
2 years ago
What is the midpoint of (3,8) and (6,4)
Andrews [41]

(4.5,6) that is what i got.

4 0
3 years ago
M and m<br> A) -9<br> C) 0<br> B) 10<br> D) -10<br> A<br> B<br> C С<br> D
Mademuasel [1]

Answer:

B

Step-by-step explanation:

∠ BSR + ∠ TSB = ∠ TSR , substitute values

2x + 17 + 5x + 15 = 102 , that is

7x + 32 = 102 ( subtract 32 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10 → B

8 0
3 years ago
Please this is urgent fill in the blanks
Nutka1998 [239]

Answer:

b)

a)

a)

Step-by-step explanation:

hope this helps i havent done this in a while

4 0
3 years ago
How do you solve 4x+10=3x+37
lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 10 = 3x + 37

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 3x on both sides:                    x + 10 = 37
  2. Subtract 10 on both sides:                     x = 27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(27) + 10 = 3(27) + 37
  2. Multiply:                        108 + 10 = 81 + 37
  3. Add:                               118 = 118

And we have our final answer!

7 0
3 years ago
Other questions:
  • Any idea on this please help
    9·2 answers
  • if the length of the rectangle is twice the width and the perimeter of the rectangle is 30 centimeters what is the length of the
    6·1 answer
  • Graph y= 1/3x+3 .I just need to know the plots
    12·1 answer
  • What is the value of x in the equation 2x + 9 = 21? (4 points) 2 6 9 15
    7·2 answers
  • Evaluate the expression when c=6 and d=5.<br> d+ 8c
    6·1 answer
  • John had to pay a combined electric and gas bill $150. The electric portion of the bill was $90. What is the ratio of money spen
    7·1 answer
  • Use distributive property to rewrite the expression 3x(x+4)​
    13·1 answer
  • Match the Mixed Number to the Improper Fraction
    12·2 answers
  • A semicircle and a quarter circle are attached to the sides of a rectangle as shown.
    6·2 answers
  • What should be added to the answer of 54 X 34 to get the answer of 58 X 34 ?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!