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Naya [18.7K]
2 years ago
10

Solve –x∕6 > 2 it's for homework

Mathematics
2 answers:
Klio2033 [76]2 years ago
7 0

<u>Answer:</u>

  • The solution to the inequality is -12.

<u>Step-by-step explanation:</u>

  • –x/6 > 2
  • => 6 x -x/6 > 2 x 6
  • => -x > 2 x 6
  • => x > -(2 x 6)
  • => x > -(12)
  • => x > -12

Hence, <u>the solution to the inequality is -12.</u>

Hoped this helped.

Ksivusya [100]2 years ago
6 0

Answer:

x< -12

Step-by-step explanation:

-x/6 > 2

Multiply by -6 on both sides to isolate x

x < -12

The reason why the sign is flipped because -12 is negative.

If x = -18, then --18 = 18. 18/6 is greater than 2.

We can double check.

If x = -24, --24 = 24. 24/6 = 4. 4 is greater than 2.

I hope this helps :)

Have a great day!

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Factorize x^2/16+xy+4y^2​
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Answer:

\frac{x^2}{16} +xy+4y^2 can be factored out as: (\frac{x}{4} +2\,y)^2

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

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Notice that the first term and the last term are perfect squares:

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6. All angles in the figure below are right angles. What is the area of the figure? (4 point)
jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

<em>"I have added screenshot of the complete question as well as the diagram"</em>

All the angles of the figure are right angles

<u>From the attached figure:</u> <em>we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units</em>

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

  as a rectangle

∵ Area of any rectangle A = L × H , where L, H are the dimensions

  of the rectangle

∵ L = 9 units and H = 5 units

∴ Area of the rectangle = 9 × 5 = 45 units²

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∵ S = 3 units

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∵ Area of the figure = area rectangle - area square

∵ Area the rectangle = 45 units²

∴ Area the square = 9 unit²

∴ Area the figure = 45 - 9 = 36 units²

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