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Svetlanka [38]
2 years ago
14

Determine a polynomial that represents the area of the parallelogram. A=

Mathematics
1 answer:
sp2606 [1]2 years ago
6 0

Answer:

4b² - 16

Step-by-step explanation:

The formula to find the area of a parallelogram equals bh, where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.

  • (2b+4)*(2b-4)=(2b+4)(2b-4)
  • (2b+4)(2b-4)=(2b)(2b)+(2b)(-4)+(4)(2b)+(4)(-4)
  • 4b^2-8b+8b-16
  • 4b^2-16

Therefore, the answer is 4b² - 16.

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wlad13 [49]

Answer:

195

Step-by-step explanation:

If there are x boys, then there are x+26 girls. Hence, we write the equation,

x+(x+26)=364

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Please find the answer , it is a very importatnt question
Anna [14]

Step-by-step explanation:

The given expression is :

\dfrac{2-\sqrt5}{2+3\sqrt5}=\sqrt5 x+y ....(1)

Taking LHS of the above expression

\dfrac{2-\sqrt5}{2+3\sqrt5}

Rationalizing both denominator and numerator.

\dfrac{2-\sqrt5}{2+3\sqrt5}\times \dfrac{2-3\sqrt5}{2-3\sqrt5}=\dfrac{4-6\sqrt5-2\sqrt5+15}{2^2-(3\sqrt5)^2}\\\\=\dfrac{19-8\sqrt5}{4-45}\\\\=\dfrac{19-8\sqrt5}{-41}\\\\=\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})

Equation (1) becomes,

\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})=\sqrt 5\ x+y

Equating both sides,

x=\dfrac{8}{41} and y=\dfrac{-19}{41}

Hence, this is the required solution.

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