This is an example of a nominal level of measurement.
In a nominal level of measurement, we are just classify the type of a variable. In this case, we are assigning a specific brand type to a particular cereal.
Answer:
![y=\frac{3}{4}x-22](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx-22)
Step-by-step explanation:
We are given;
- The equation of a line 6x-2y=4+6y
- A point (8, -16)
We are required to determine the equation of a line parallel to the given line and passing through the given point.
- One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,
First we get the slope of the line from the equation given;
- We write the equation in the form y = mx + c, where m is the slope
That is;
6x-2y=4+6y
6y + 2y = 6x-4
8y = 6x -4
We get, y = 3/4 x - 4
Therefore, the slope, m₁ = 3/4
But; for parallel lines m₁=m₂
Therefore, the slope of the line in question, m₂ = 3/4
To get the equation of the line;
We take a point (x, y) and the point (8, -16) together with the slope;
That is;
![\frac{(y--16}{x-8}=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%28y--16%7D%7Bx-8%7D%3D%5Cfrac%7B3%7D%7B4%7D)
![4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22](https://tex.z-dn.net/?f=4%28y%2B16%29%3D3%28x-8%29%5C%5C4y%20%2B%2064%20%3D%203x%20-%2024%5C%5C4y%3D3x-88%5C%5C%20y%3D%5Cfrac%7B3%7D%7B4%7Dx-22)
Thus, the equation required is ![y=\frac{3}{4}x-22](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx-22)
Step-by-step explanation:
![sin x \: cos x \: tanx = 1 - {cos}^{2} x \\ LHS \\= sin x \: cos x \: tanx \\ =sin x \: cos x \: \times \frac{sin x}{cos x} \\ = sin x \: \times \frac{sin x}{1} \\ ={sin}^{2} x \\ = 1 - {cos}^{2} x \\ = RHS \\ \therefore \: sin x \: cos x \: tanx = 1 - {cos}^{2} x \\ Hence \: Proved.](https://tex.z-dn.net/?f=sin%20%20x%20%5C%3A%20cos%20%20x%20%5C%3A%20tanx%20%3D%201%20-%20%20%7Bcos%7D%5E%7B2%7D%20x%20%5C%5C%20LHS%20%5C%5C%3D%20sin%20%20x%20%5C%3A%20cos%20%20x%20%5C%3A%20tanx%20%5C%5C%20%20%3Dsin%20%20x%20%5C%3A%20cos%20%20x%20%5C%3A%20%5Ctimes%20%20%5Cfrac%7Bsin%20%20x%7D%7Bcos%20%20x%7D%20%20%5C%5C%20%20%3D%20sin%20%20x%20%5C%3A%20%5Ctimes%20%20%5Cfrac%7Bsin%20%20x%7D%7B1%7D%20%5C%5C%20%20%3D%7Bsin%7D%5E%7B2%7D%20%20x%20%5C%5C%20%20%3D%201%20-%20%20%7Bcos%7D%5E%7B2%7D%20x%20%5C%5C%20%20%3D%20RHS%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20sin%20%20x%20%5C%3A%20cos%20%20x%20%5C%3A%20tanx%20%3D%201%20-%20%20%7Bcos%7D%5E%7B2%7D%20x%20%5C%5C%20Hence%20%5C%3A%20Proved.)
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