Simplify the following, where k represents any integer: cos(2kpi-x)(-sin(2kpi-x))
1 answer:
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Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.
m =
m =
m =
m = 6
Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.
y - y_1 = m (x - x_1) Plug in either set of coordinate. I chose (3, 18).
y - 18 = 6 (x - 3) Use he Distributive Property
y - 18 = 6x - 18 Add 18 to both sides
y = 6x
The equation of a direct variation line that includes the point (3, 18) is y = 6x.
m =
m =
m =
m = 6
Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.
y - y_1 = m (x - x_1) Plug in either set of coordinate. I chose (3, 18).
y - 18 = 6 (x - 3) Use he Distributive Property
y - 18 = 6x - 18 Add 18 to both sides
y = 6x
The equation of a direct variation line that includes the point (3, 18) is y = 6x.
The number added to the polynomial by completing the square is
Explanation:
Given that the polynomial is
We need to determine the number that is added to the polynomial to complete the square.
The last term of the polynomial can be determined by dividing the term 17 by 2 and then squaring the term.
Thus, we have,
Last term =
Now, squaring the term, we have,
Last term =
Thus, the number added to the polynomial by completing the square is