Do the equations x + y = -2 and 3x + 3y = −6 define the same line? Explain.

Answer:

(-2, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-x - 2y = 2

4x - 2y = -8

Step 2: Rewrite Systems

-x - 2y = 2

Step 3: Redefine Systems

x + 2y = -2

4x - 2y = -8

Step 4: Solve for x

Elimination

Step 5: Solve for y

Greetings again.

The answer is (-2,0)

Explanation:

This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)

But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.

And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.

We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.

[tex]-x-2y=2[/tex]

Multiply -1 in whole equation.

[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]

Remind that negative multiply/distribute in negative equal positive always.

And x + 2y = -2 is your new equation from the first equation.

[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]

This is our new equations. Then we are able to eliminate y-term.

[tex]5x=-10\\x=-2[/tex]

In case if you forget again, we can simply add/subtract vertically.

x+4x = 5x

2y-2y = 0

-2-8 = -10

That's how we get 5x=-10 and thus x = -2.

We already get x-value, and you know that we need to find the y-value too.

Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.

I'll substitute in -x-2y=2

[tex]-x-2y=2[/tex]

Substitute x = -2 in the equation.

[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]

Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)

Answer:

10 months

Step-by-step explanation:

If we divide 18 and 6, you would get 3. This means that Carrie reads 3 books per month and we can divide 30 and 3 to figure out how many months that she read which is 10.

Answer:

yes

Step-by-step explanation:

because they are all faced up and not touching each other

Answer:

17,046.92 i think

Step-by-step explanation:

Answer:

6.61 or 6 times

Step-by-step explanation:

278/42 = 6.61

42 goes into 278 6.61 times.

If you are estimating, 6 is correct.

If you are finding the exact answer, 6.61 is correct.

I hope this helps with your question.

Answer:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Step-by-step explanation:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Answer:

Step-by-step explanation:

Remark

This problem only wants to know how many ways to select 7 starting from a base of 11.

Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.

That problem is a combination and is written as

(11)/(7)

The formula used is

11! / (7! (11 - 7)! )

11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out

11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330

I assume it'd be 9°F.

-1 + 10 = 9

Hope this helps!

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

Answer:

The correct answer is:

ZNEG/∠NEG

Step-by-step explanation:

An exterior angle is one outside the triangle that is formed by extending two of the sides of the triangle. Angle NEG is formed by extending EG and EF; this makes it an exterior angle.

Answer:

answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

1

2

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:

r

=

1

2

This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

Substitute in the values of

a

1

=

200

and

r

=

1

2

.

a

n

=

(

200

)

⋅

(

1

2

)

n

−

1

Simplify the expression.

Tap for more steps...

a

n

=

200

⋅

1

2

n

−

1

Combine

200

and

1

2

n

−

1

.

a

n

=

200

2

n

−

1

The common ratio is 1/2.

Given that

The sequence 200, 100, 50, 25.

The common ratio is determined by dividing the second term by the first term.

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]

Here, the second term is 100 and the first term is 200.

Then,

The common ratio is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]

[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]

The common ratio between third term 50 and second term 100 is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]

Hence, the common ratio is 1/2.

To know more about the Common ratio click the link given below.

https://brainly.com/question/13162487

Answer:

129

Step-by-step explanation:

The sum of all angles in any quadrilateral is 360°

so, you can make the following equation:

71 + 48 + 112 + x = 360

231 + x = 360

Subtract 231 from both sides of the equation

231 + x - 231 = 360 - 231

x = 360 - 231

x = 129

Step-by-step explanation:

The given image is a trapezium. A trapezium is a quadilateral. Hence , it's sum of angles is 360°

To solve for x ;

[tex]71° + 48° + 112 ° + x° = 360° \\ 231 + x = 360 \\ x = 360 - 231 \\ x = 129[/tex]

Answer:constrictive intergers

Step-by-step explanation:

Answer:

[tex]140,141,142,143[/tex]

Step-by-step explanation:

[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]

Answer:

3/4 = 0.75 1/3 = 0.3333

Step-by-step explanation:

Answer:

im pretty sure its option 3

Step-by-step explanation:

its unique

Answer:

Option 2

Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.

Answer: 0.1 liter

Step-by-step explanation:

From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.

The amount of liquid that Brianna will use will be:

= 0.4 × 0.25 liters

= 0.1 liter

Answer:

(2, 5.5)

Step-by-step explanation:

Use the midpoint formula.

Answer:

13

Step-by-step explanation:

so you take $15 ÷ $1.14 = 13.15789. so you round it to 13

Answer:

0

Step-by-step explanation:

2a+1=1

2a=0

---   ---

2     2

a=0

Answer:

A=0

Step-by-step explanation:

2a+1=1

2a=1-1 (i moved +1 to the other side ...coz our goal is to isolate "a",  and in order to do this, look for numbers that are freer)(moving the +1 to the other side made it -1)(you just need to remember that when we move any number to the other side it will claim its opposite operation so +1 will turn to -1)

2a=0  (1-1=0)

a=0/2 (now, 2 is being multiplied with a, and to isolate "a" we move 2 to the other side, and this will make to divide ((because the opposite of multiplication is division)) )

a=0 (the ans!)

Answer:

The first two on the right will not be used

3. goes to 1.

4. goes to 2.

5. goes to 4.

6. goes to 3.

Step-by-step explanation:

Answer:

what are the statements

Step-by-step explanation:

Answer:

1.5 miles per hour.

Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.

Answer:

B. 4

Step-by-step explanation:

Answer:

4

Hope this helps !!

Answer: B. D. E. F.

Step-by-step explanation:

9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

Answer:

8 mm

Step-by-step explanation:

Answer:

What Line? it doesnt touch the x or y axis.

Step-by-step explanation: