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DIA [1.3K]
3 years ago
10

What is the boundary line for the linear inequality 4x + 2y < 18?

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

Simplifying

x = 4.5 + -0.5y

Step-by-step explanation:

You might be interested in
(12x - 30) = (2x - 5)​
zzz [600]

Answer:

x = 5/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

12x - 30 = 2x - 5

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

  1. Subtract 2x on both sides:                    10x - 30 = -5
  2. Add 30 to both sides:                            10x = 25
  3. Divide 10 on both sides:                        x = 5/2
8 0
2 years ago
John has a box that is in the shape of a cube (i.
Artemon [7]
A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:
v =  {s}^{3} \\ 27 \:  {in}^{3} =  {s}^{3}  \\  \sqrt{( {s}^{3}) } =  \sqrt{( {27in}^3)}  \\ s = 3 \: in
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in
5 0
3 years ago
In fig if x+y=w+z then prove that AOB is a line.​
frez [133]

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

∘

(linear pair.)

According to the question,

x+y+w+z=360

∘

∣ Angles around a point.

(x+y)+(w+z)=360

∘

(x+y)+(x+y)=360

∘

∣ Given x+y=w+z

2(x+y)=360

∘

(x+y)=180

∘

Hence, x+y makes a linear pair.

Therefore, AOB is a straight line

4 0
3 years ago
Monique is going to draw a net of a triangular pyramid. How many triangles should there be in her​ drawing?
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

8 0
3 years ago
12.) Write y = 1/6 x + 7 in standard form using integers.
Trava [24]

Option A

-x + 6y = 42 is the standard form

<u>Solution:</u>

Given that we have to write y = \frac{1}{6}x+7 in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

y = \frac{1}{6}x+7

Let us convert the above equation into standard form

y = \frac{x}{6} + 7

y = \frac{x}{6} + \frac{7}{1}

Make the denominator same in R.H.S

y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}

Solve the above equation

y = \frac{x}{6} + \frac{42}{6}

y = \frac{x+42}{6}

Move 6 from R.H.S to L.H.S

6y = x + 42

Bring all the terms to one side, leaving only constant on R.H.S

-x + 6y = 42

The above equation is of form Ax + By = C

Thus option A is correct

3 0
3 years ago
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