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4 years ago

Solve for x. -(12x-6)=12x+6

Mathematics

1 answer:

AfilCa [17]4 years ago

6 0

-(12x - 6) = 12x + 6

First, distribute the negative sign on the left side.

It is the same as multiplying the quantity in parentheses by -1.

-1(12x - 6) = 12x + 6

-12x + 6 = 12x + 6

Now, subtract 12x from both sides.

-24x + 6 = 6

Subtract 6 from both sides.

-24x = 0

Divide both sides by -24.

x = 0/(-24)

x = 0

Answer: x = 0

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Here the figure is made up of a quadrilateral and a semi circle.

ABCD is the quadrilateral here. We will find the sides of the quadrilateral by using the distance formula.

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So the lengths of the sides AD and BC are equal.

So the quadrilateral is a rectangle whose length is $\sqrt{40}$ and width is $\sqrt{10}$ .

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= $(\sqrt{40}) (\sqrt{10})$

= $\sqrt{(40)(10)}=\sqrt{400}$

= $20 unit^2$

Now the diameter of the semicircle is the side AD = $\sqrt{40}$

So, the radius of the semi-circle = $\frac{\sqrt{40}}{2}$

= $\frac{\sqrt{(4)(10)}}{2}$

= $\frac{(\sqrt{4})(\sqrt{10})}{2}$

= $\frac{2\sqrt{10}}{2}$ = $\sqrt{10}$

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Option a is correct here.

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