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Stolb23 [73]
2 years ago
11

Xx squared - XY + x squared - xy ​

Mathematics
2 answers:
creativ13 [48]2 years ago
6 0

In case your expression is:

x^2\:-\:xy\:+\:x^2\:-\:xy

Solution:

Given the expression

x^2\:-\:xy\:+\:x^2\:-\:xy

Group like terms

x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy

Add similar elements: x²+x² = 2x²

                                  =2x^2-xy-xy

Add similar elements: -xy-xy = -2xy

                                    =2x^2-2xy

Thus,

x^2-xy+x^2-xy=2x^2-2xy

In case your expression is:

\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy

Solution:

Given the expression

\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy

Group like terms

\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2

Add similar elements: -xy-xy = -2xy

                                       =x^2-2xy+\left(xx\right)^2

as (xx)² = x⁴

so                                      =x^2-2xy+x^4

Therefore, we conclude that:

  • \left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4                                  
EastWind [94]2 years ago
4 0

Answer and Step-by-step explanation:

x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy

This is the answer.

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2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
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Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
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Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
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