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Yuri [45]
3 years ago
13

Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

9514 1404 393

Answer:

  3

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

  f(x) = ((x -2)x -7)x +5

and ...

  x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

  f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

  = (3+2√3 -7)(2+√3) +5

  = 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

  f(1/(2 -√3)) = 3

_____

If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

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Answer:

Total surface area : 733

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Step-by-step explanation:

The shape of the base is a rectangle with sides 11 in. and 12 in.

The surface area is the sum of the areas of the 5 sides.

Area of the base = 11*12 = 132

Area of the two triangles =  (11*16)/2 = 88

Area of the back rectangle = 192

The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.

So the area of the oblique face: 19.42* 12 = 233 (almost :) )

So total surface area: 132 + 88*2+192+233= 733 square in

3 0
2 years ago
The diameter of a circle is 4 inches. What is the area ? Give the exact answer in the simplest form.
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4 0
3 years ago
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Katen [24]
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4 years ago
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Ostrovityanka [42]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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