1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:
1 answer:
Answer:
Cuadrilátero A: ![A = y^{2}+4\cdot y +4](https://tex.z-dn.net/?f=A%20%3D%20y%5E%7B2%7D%2B4%5Ccdot%20y%20%2B4)
Cuadrilátero B: ![A = a^{2}+6\cdot a + 9](https://tex.z-dn.net/?f=A%20%3D%20a%5E%7B2%7D%2B6%5Ccdot%20a%20%2B%209)
Step-by-step explanation:
Existen dos formas distintas de determinar las áreas de cada cuadrilátero:
(i) <em>Obtener el área de cada cuadrado y sumar los resultados.</em>
(ii) <em>Calcular los lados del cuadrilátero grande y determinar el área. </em>
Cuadrilátero A
Método (i)
![A = y^{2}+2\cdot y +4+2\cdot y](https://tex.z-dn.net/?f=A%20%3D%20y%5E%7B2%7D%2B2%5Ccdot%20y%20%2B4%2B2%5Ccdot%20y)
![A = y^{2}+4\cdot y +4](https://tex.z-dn.net/?f=A%20%3D%20y%5E%7B2%7D%2B4%5Ccdot%20y%20%2B4)
Método (ii)
![A = (y+2)\cdot (y+2)](https://tex.z-dn.net/?f=A%20%3D%20%28y%2B2%29%5Ccdot%20%28y%2B2%29)
![A = y^{2}+4\cdot y + 4](https://tex.z-dn.net/?f=A%20%3D%20y%5E%7B2%7D%2B4%5Ccdot%20y%20%2B%204)
Cuadrilátero B
Método (i)
![A = a^{2}+3\cdot a +9 + 3\cdot a](https://tex.z-dn.net/?f=A%20%3D%20a%5E%7B2%7D%2B3%5Ccdot%20a%20%2B9%20%2B%203%5Ccdot%20a)
![A = a^{2}+6\cdot a +9](https://tex.z-dn.net/?f=A%20%3D%20a%5E%7B2%7D%2B6%5Ccdot%20a%20%2B9)
Método (ii)
![A = (a+3)\cdot (a+3)](https://tex.z-dn.net/?f=A%20%3D%20%28a%2B3%29%5Ccdot%20%28a%2B3%29)
![A = a^{2}+6\cdot a + 9](https://tex.z-dn.net/?f=A%20%3D%20a%5E%7B2%7D%2B6%5Ccdot%20a%20%2B%209)
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Answer:
b![>20](https://tex.z-dn.net/?f=%3E20)
Step-by-step explanation:
False. Btw this is a computer and technology question not a mathematic question
Answer:
1
Step-by-step explanation:
2#&&#&÷&7*÷**#*×*×*÷(×(×¥=111
Answer:
![(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%2036%2Ax%5E%7B13%7Dy%5E7)
Step-by-step explanation:
Given
![(4x^3y^5)(3x^5y)^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2)
Required
The equivalent expression
We have:
![(4x^3y^5)(3x^5y)^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2)
Expand
![(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%204x%5E3y%5E5%2A9x%5E%7B10%7Dy%5E2)
Further expand
![(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%204%2A9%2Ax%5E3%2Ax%5E%7B10%7Dy%5E5%2Ay%5E2)
Apply laws of indices
![(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%2036%2Ax%5E%7B13%7Dy%5E7)
Answer:
![2-3y\leq 12\\-2+2-3y\leq 12-2\\-3y\leq 10\\\frac{-3}{3}y\leq \frac{10}{3} \\y\geq \frac{10}{3}](https://tex.z-dn.net/?f=2-3y%5Cleq%2012%5C%5C-2%2B2-3y%5Cleq%2012-2%5C%5C-3y%5Cleq%2010%5C%5C%5Cfrac%7B-3%7D%7B3%7Dy%5Cleq%20%20%5Cfrac%7B10%7D%7B3%7D%20%5C%5Cy%5Cgeq%20%5Cfrac%7B10%7D%7B3%7D)
Step-by-step explanation: