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3 years ago

Can you solve this in a good way please

Mathematics

1 answer:

IRINA_888 [86]3 years ago

8 0

Answer:

5/2 x^2y^2

Step-by-step explanation:

( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2

= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4

- 5/2x^2y^2 + y^4)

Distributing the negative over the parentheses:-

= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4

- 25/16x^4

+ 5/2x^2y^2 - y^4

Bringing like terms together

x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 + 5/2x^2y^2 + 16/25y^4 + 9/25y^4

- y^4

Adding like terms:-

= 5/2 x^2y^2 Answer

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The parallelogram has a base of 8 cm and corresponding height of 4 cm. The parallelogram is changed proportionally and is dilate

sukhopar [10]

Answer:

The area of the new reduced parallelogram after dilation is 8 cm^2

Step-by-step explanation:

Mathematically, the area of a parallelogram = b * h

before dilation, area of the parallelogram = 8 * 4 = 32 cm^2

After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm

Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2

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4 years ago

PLEASE HELP 100 POINTS!

krok68 [10]

Answer:

800%

Step-by-step explanation:

Volume of a square based pyramid

$\sf V=\dfrac{1}{3}a^2h$

where:

a = base side length
h = height

Given values for Pyramid A:

a = 14 inches
h = 6 inches

Substitute the given values into the formula to find the volume of Pyramid A:

$\begin{aligned}\textsf{Volume of Pyramid A} & = \sf \dfrac{1}{3}(14)^2(6)\\\\& = \sf \dfrac{1176}{3}\\\\& = \sf 392\:\: in^3 \end{aligned}$

Given:

Volume of Pyramid B = 3136 in³

To find how many times bigger Pyramid B is than Pyramid A, divide the volume of Pyramid B by the volume of Pyramid A:

$\implies \sf \dfrac{3136}{392}=8$

Therefore, the volume of Pyramid B is 8 times bigger than the volume of Pyramid A.

8 as a percentage is 800%, since 800/100 = 8.

Therefore, the volume of Pyramid B is 800% the volume of Pyramid A.

To verify this, find 800% of the volume of Pyramid A:

⇒ 800% of 392

= 800/100 × 392

= 8 × 392

= 3136

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

418+19=437

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