Answer: percent
Step-by-step explanation: i know stuff and btw i hope this helps
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
Answer:
Step-by-step explanation:
We'll use the slope formula as soon as we figure out the coordinates to plug into it! At x = -4, the y value there is 4; the coordinate is (-4, 4). At x = 1, the y value there is -1; the coordinate is (1, -1). Plugging into the slope formula:
![m=\frac{-1-4}{1-(-4)}=\frac{-5}{5}=-1](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1-4%7D%7B1-%28-4%29%7D%3D%5Cfrac%7B-5%7D%7B5%7D%3D-1)
If you didn't pick up this, the "average rate of change" is the same exact thing as the slope. It's -1.
Given :
![cos(x)cos(\frac{\pi }{7}) + sin(x)sin(\frac{\pi }{7})=-\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=cos%28x%29cos%28%5Cfrac%7B%5Cpi%20%7D%7B7%7D%29%20%2B%20sin%28x%29sin%28%5Cfrac%7B%5Cpi%20%7D%7B7%7D%29%3D-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
We know the identity
We use this property to simplify the left hand side
So ![cos(x)cos(\frac{\pi }{7}) + sin(x)sin(\frac{\pi }{7})=cos(x - \frac{\pi }{7})](https://tex.z-dn.net/?f=cos%28x%29cos%28%5Cfrac%7B%5Cpi%20%7D%7B7%7D%29%20%2B%20sin%28x%29sin%28%5Cfrac%7B%5Cpi%20%7D%7B7%7D%29%3Dcos%28x%20-%20%5Cfrac%7B%5Cpi%20%7D%7B7%7D%29)
![cos(x - \frac{\pi }{7}) =-\frac{\sqrt{2}}{2})](https://tex.z-dn.net/?f=cos%28x%20-%20%5Cfrac%7B%5Cpi%20%7D%7B7%7D%29%20%3D-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29)
we know ,
when
then
![x = \frac{3\pi }{4} , \frac{5\pi }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%5Cpi%20%7D%7B4%7D%20%2C%20%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)
For ![cos(x - \frac{\pi }{7}) =-\frac{\sqrt{2}}{2})](https://tex.z-dn.net/?f=cos%28x%20-%20%5Cfrac%7B%5Cpi%20%7D%7B7%7D%29%20%3D-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29)
![x - \frac{\pi }{7}= \frac{3\pi }{4} and x - \frac{\pi }{7}= \frac{5\pi }{4}](https://tex.z-dn.net/?f=x%20-%20%5Cfrac%7B%5Cpi%20%7D%7B7%7D%3D%20%5Cfrac%7B3%5Cpi%20%7D%7B4%7D%20and%20x%20-%20%5Cfrac%7B%5Cpi%20%7D%7B7%7D%3D%20%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)
Add
on both sides
![x= \frac{3\pi }{4} + \frac{\pi }{7} and x= \frac{5\pi }{4} +\frac{\pi }{7}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B3%5Cpi%20%7D%7B4%7D%20%2B%20%5Cfrac%7B%5Cpi%20%7D%7B7%7D%20and%20x%3D%20%5Cfrac%7B5%5Cpi%20%7D%7B4%7D%20%2B%5Cfrac%7B%5Cpi%20%7D%7B7%7D)
Finally we add 2npi for general solution
So options C and D are correct