Lines are described by equations of the form y = mx + b
The fast way of finding 'b' is to look for a place where x = 0 and plug in the x and y values into this equation. In the case of this line, when x = 0, y = 5:
5 = m(0) + b
5 = 0 + b
5 = b
To get the slope, 'm', we need to pick two points and divide the difference of their y values by the difference of their x values. Pick points where the line falls on the grid. The one we just used, (0,5), works well. So does (2,1).
Plug into the equation m = (y2-y1)/(x2-x1) to get m = (1-5)/(2-0) = -4/2 = -2
Our equation is y = -2x + 5
Double-angle formulas:
2sinФcosФ=sin(2Ф) /:2
sinФcosФ=1/2*sin(2Ф)
sin(Ф/6)cos(Ф/6)=1/2*sin(2*Ф/6)=1/2*sin(Ф/3)
cos²Ф-sin²Ф=cos(2Ф)/*7
7cos²Ф-7sin²Ф=7cos(2Ф)
7cos²(Ф/9)-7sin²(Ф/9)=7cos(2*Ф/9)=7cos(2Ф/9)
Answer:
It's 8x²+8x-6
Step-by-step explanation:
If you multiply each component you get:
4x * 2x = 8x²
4x * 3 = 12x
-2 * 2x = -4x
-2 * 3 = -6
Adding everything you have the result.
