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4 years ago

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Mathematics

2 answers:

Ratling [72]4 years ago

5 0

Answer:

The Equation is

- 4 x - 11 = 2 (x - 3 x) + 13

→ - 4 x - 11= 2 x - 2* 3 x + 13⇒⇒Using Distributive property of multiplication over subtraction which is , A * (B - C) = A*B - A*C

Bringing variables on one side and Constants on another side

→ - 4 x - 2 x + 6 x = 13 +11

→ - 6 x + 6 x = 24

0 =24

which is not possible.

Hence this equation has no solution.

If you look at the equation in the way

L HS= - 4 x - 11

A= - 4 x -11

R H S = 2 *(x - 3 x) + 13

B= 2 * (- 2 x) +13

= - 4 x + 13

Both L HS and R H S, if looked individually represent lines in two dimensional plane, having equal slopes and different Y intercept.

So, the two lines are parallel.

Parallel lines do not intersect.

So, the equation has no solution.

Allushta [10]4 years ago

4 0

-4x - 11 = 2(x - 3x) + 13
-4x - 11 = 2x - 6x + 13
-4x - 11 = -4x + 13
-4x + 4x = 13 + 11
0 = 24...incorrect......no solutions for this problem

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Which set of numbers extends the pattern shown?

MaRussiya [10]

<h2>The next terms are 16, 10, 4</h2>

Step-by-step explanation:

The given series is 46, 40, 34, 28, 22,... , ...., .....

The difference between each

46 -40 = 6

40 - 34 = 6

34 -28 = 6

28 - 22 = 6

22- x = 6 => 16

16 - x = 6 => 10

10 - x = 6 => 4

4 0

3 years ago

The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?

kherson [118]

First, we know that all supplementary angles add to 180°. Then, since the angles are in the ratio 4:5, we can also represent these angles as 4x and 5x respectively. Both angle measures have the same variable (x) because no matter how large the angles are, they must have a common multiple because they are in a ratio. We can then write the formula 4x+5x=180 and solve for x. First, you combine like terms to get 9x=180. The you divide both sides by 9 to get x=20. Then, we can find both angles to be 80 (4*20) and 100 (5*20) by plugging them into 4x and 5x. Since 100 is larger, that is your answer.

I hope this helps.

3 0

4 years ago

Read 2 more answers

Hiii i have a question on math:)

vlabodo [156]

Answer:

PQR = 150°

Step-by-step explanation:

Hi there !

PQR = PQS + SQR

12x - 6 = 16 + 9x + 17

12x - 9x = 16 + 17 + 6

3x = 39

x = 13

PQR = (12×13 - 6)° = (156 - 6)° = 150°

Good luck !

4 0

3 years ago

Sophia saves $30 every month to her savings account. She withdrew $120 one time to go Christmas shopping. She now has $330 in he

a_sh-v [17]

Answer:

15 months

Step-by-step explanation:

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3 years ago

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olya-2409 [2.1K]

Hey there! I'm happy to help!

A translation is just when they are staying the same. You just move the figure along but it doesn't switch the way it is facing.

A reflection is when it is like going over a mirror. It's kind of like it rolls over. So if you are facing left on the ground and you roll over then you are facing the right. That's basically what a reflection is.

A rotation is pretty self explanatory, it's when you twist it sideways, upside down, etc. A rotation can also end up in the same position as a reflection. For example if you diagonally reflect something it is the same as a 180 degree rotation, and that might be what is stressing you out.

With your answers, I'm assuming each number has all three possible answers, so if one seems to have both, just see which answer you haven't used yet.

1) Rotation, Translation Reflection

2) Rotation, Reflection, Translation

3) Translation, Rotation, Reflection

4) Rotation, Reflection, Translation

5) Reflection, Rotation, Translation

6) Reflection, Rotation, Translation

Have a wonderful day and keep on learning! :D

4 0

3 years ago