escreva em seu caderno a equação geral da reta determinada pelos pontos:
a)A(1;4)
B(-4;14)
b)C(-2;-5)
D(-2;-5)
c)E(3;11/3)
F(5;7)
Janainafreitas11:
preciso para segunda me ajudem
Soluções para a tarefa
Respondido por
10
LETRA A)
![\left[\begin{array}{ccc}1&4&1\\-4&14&1\\x&y&1\end{array}\right] = 0\\\\
4x-ry+14-14x-y+16=0\\
-10x-5y+30=0 *(-1)\\
\boxed{10x+5y-30=0}](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B4%26amp%3B1%5C%5C-4%26amp%3B14%26amp%3B1%5C%5Cx%26amp%3By%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+%3D+0%5C%5C%5C%5C%0A4x-ry%2B14-14x-y%2B16%3D0%5C%5C%0A-10x-5y%2B30%3D0+%2A%28-1%29%5C%5C%0A%5Cboxed%7B10x%2B5y-30%3D0%7D "\left[\begin{array}{ccc}1&4&1\\-4&14&1\\x&y&1\end{array}\right] = 0\\\\
4x-ry+14-14x-y+16=0\\
-10x-5y+30=0 *(-1)\\
\boxed{10x+5y-30=0}")
LETRA B)
![\left[\begin{array}{ccc}-2&5&1\\-2&5&1\\x&y&1\end{array}\right] =0\\\\
5x-2y+10+5+2y-10=0\\
\boxed{10x=0}](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%26amp%3B5%26amp%3B1%5C%5C-2%26amp%3B5%26amp%3B1%5C%5Cx%26amp%3By%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+%3D0%5C%5C%5C%5C%0A5x-2y%2B10%2B5%2B2y-10%3D0%5C%5C%0A%5Cboxed%7B10x%3D0%7D "\left[\begin{array}{ccc}-2&5&1\\-2&5&1\\x&y&1\end{array}\right] =0\\\\
5x-2y+10+5+2y-10=0\\
\boxed{10x=0}")
LETRA C)
![\left[\begin{array}{ccc}3&\frac{11}3&1\\5&7&1\\x&y&1\end{array}\right] =0\\\\
\frac{11}3x+5y+21-7x-3y-\frac{55}3=0\\\\
(\frac{11}3-7)x+2y+21-\frac{55}3=0\\\\
(\frac{11-21}3)x+2y+\frac{63-55}3=0\\\\
-\frac{10}3x+2y+\frac{8}3=0*(-1)\\\\
\boxed{\frac{10}3x-2y-\frac{8}3=0}](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B%5Cfrac%7B11%7D3%26amp%3B1%5C%5C5%26amp%3B7%26amp%3B1%5C%5Cx%26amp%3By%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+%3D0%5C%5C%5C%5C%0A%5Cfrac%7B11%7D3x%2B5y%2B21-7x-3y-%5Cfrac%7B55%7D3%3D0%5C%5C%5C%5C%0A%28%5Cfrac%7B11%7D3-7%29x%2B2y%2B21-%5Cfrac%7B55%7D3%3D0%5C%5C%5C%5C%0A%28%5Cfrac%7B11-21%7D3%29x%2B2y%2B%5Cfrac%7B63-55%7D3%3D0%5C%5C%5C%5C%0A-%5Cfrac%7B10%7D3x%2B2y%2B%5Cfrac%7B8%7D3%3D0%2A%28-1%29%5C%5C%5C%5C%0A%5Cboxed%7B%5Cfrac%7B10%7D3x-2y-%5Cfrac%7B8%7D3%3D0%7D "\left[\begin{array}{ccc}3&\frac{11}3&1\\5&7&1\\x&y&1\end{array}\right] =0\\\\
\frac{11}3x+5y+21-7x-3y-\frac{55}3=0\\\\
(\frac{11}3-7)x+2y+21-\frac{55}3=0\\\\
(\frac{11-21}3)x+2y+\frac{63-55}3=0\\\\
-\frac{10}3x+2y+\frac{8}3=0*(-1)\\\\
\boxed{\frac{10}3x-2y-\frac{8}3=0}")
LETRA B)
LETRA C)
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