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serg [7]
3 years ago
13

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

Mathematics
1 answer:
lesya [120]3 years ago
5 0

Let us solve the inequality first


2(x-1)\ge -12


Dividing through by 2 gives


(x-1)\ge -6


Grouping like terms gives

x\ge -6+1

This implies that;

x\ge -5

This corresponds to option A in words

If we rewrite as

-5\le x

it will correspond to option C in words

Representing on diagram corresponds to option D (See attachment)


All are correct ways to represent the solution except B.

The correct answer is option B





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Step-by-step explanation:

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          45° - 45° - 90°                30° - 60° - 90°

In 45° - 45° - 90°, the adjacent is equal to the opposite

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The longest side faces 90°, the shortest side will face the smallest angle and the intermediate will face 60°

A.

 To find AB, use Pythagoras theorem;

          AB²  = AC² + BC²

          AB²  = 13² + 4²

           AB²  = 169 + 16  = 185

           AB = √185  = 13.6

AB = 13.6

Angle A = 30°

Angle B = 60°

B.

   AB² = BC² + AC²

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      AC² = AB² - BC²

      AC²  = 5²  - 4²

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       AC = √9 = 3

Angle A = 60°

Angle B = 30°

C.

        AB²  = AC² + BC²

 Insert the parameters and find AC;

        AC² = AB² - BC²

        AC²  = 11²  - 4.4²

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         AC = 10.1

Angle A = 30°

Angle B = 60°  

AC = 13

   

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Step-by-step explanation:

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y =  -  \frac{1}{2} mx +  \frac{k}{2}  \\ y =  \frac{1}{2} x +  \frac{k}{2}  \\ 8 =  \frac{1}{2} (2) +  \frac{k}{2}  \\ 7 =  \frac{k}{2}  \\ 14 = k

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Answer:

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