can someone please translate this into english, for those of us that dont speak this language?
A) the greatest common factor is y^2 so
y^2(3x^2-x-2)
...
B) x^2+6x+9
x^2+3x+3x+9
x(x+3)+3(x+3)
(x+3)(x+3)
(x+3)^2
C)
x^2-25
x^2-5x+5x-25
x(x-5)+5(x-5)
(x+5)(x-5)
Answer:
<h2>-6x + 7y = 11</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m - slope
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-3, -1) and (1/2, 2). Substitute:
![m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}\\\\y-(-1)=\dfrac{6}{7}(x-(-3))\\\\y+1=\dfrac{6}{7}(x+3)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-%28-1%29%7D%7B%5Cfrac%7B1%7D%7B2%7D-%28-3%29%7D%3D%5Cdfrac%7B3%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cdfrac%7B3%7D%7B%5Cfrac%7B7%7D%7B2%7D%7D%3D3%5Ccdot%5Cdfrac%7B2%7D%7B7%7D%3D%5Cdfrac%7B6%7D%7B7%7D%5C%5C%5C%5Cy-%28-1%29%3D%5Cdfrac%7B6%7D%7B7%7D%28x-%28-3%29%29%5C%5C%5C%5Cy%2B1%3D%5Cdfrac%7B6%7D%7B7%7D%28x%2B3%29%7D)
Convert to the standard form Ax + By = C:
<em>multiply both sides by 7</em>
<em>use the distributive property</em>
<em>subtract 7 from both sides</em>
<em>subtract 6x from both sides</em>
![-6x+7y=11](https://tex.z-dn.net/?f=-6x%2B7y%3D11)
__________________________
4x + 3y = 16
x = -3 / 4 y + 4
y = -4 / 3 x + 16 / 3
___________________________
y = x + 3
x = y - 3
y = x + 3
___________________________
The answer to this is B. all you do is combine like terms, like 5y minus 2y and negative one plus 4.