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3 years ago

5. 3x-X-7=3 6.3x-3-X=3 7. -1 - 2x +3x=5 8. 3x - 22 - X=6 9. 2x+3x-10=10

1 answer:

6 0

** 3x - x -7 = 3

2x = 10

x = 5

** 6. 3x - 3 -x = 3

18x - 3 - x = 3

17x = 6

x = $\frac{6}{17}$

** 7. -1 - 2x + 3x = 5

-7 - 2x + 3x = 5

-7 + x = 5

x = 12

** 8. 3x - 22 - x = 6

24x - 22 - x = 6

23x = 28

x = $\frac{28}{23}$

** 9. 2x + 3x -10 = 10

18x + 3x - 10 = 10

21x = 20

x = $\frac{20}{21}$

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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Sergeeva-Olga [200]

Answer:

A and B are functions

Step-by-step explanation:

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3 years ago

12. Find the surface area of each figure to the nearest tenth.

Zolol [24]

Answer:

12a. 471.2 cm²

12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

cylinder

S = (2)(πr²) +2πrh = 2πr(r +h)

S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

triangular prism

S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

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Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

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3 years ago

(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

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2 years ago