(x-1)^2+(y-4)=4 is the answer but the pyth theorem is for triangles
10 students of Elena's classmates like to make jewellery.
<u>Step-by-step explanation:</u>
Let total no.of classmates who liked the jewellery = x
Here, in the given problem, given she asked her classmates '20'. So, it clearly shows that total number of students/classmates = 20. Also, in that, 50% said like to make jewellery. Now find 'x' as below,
![x = 50 \% \text { of } 20](https://tex.z-dn.net/?f=x%20%3D%2050%20%5C%25%20%5Ctext%20%7B%20of%20%7D%2020)
![x = \frac{50}{100} \times 20](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B50%7D%7B100%7D%20%5Ctimes%2020)
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Hence, the total number of classmates who liked to make Jewellery = 10
Answer:
300%
Step-by-step explanation:
Given
![y\ \alpha\ \frac{1}{x^2}](https://tex.z-dn.net/?f=y%5C%20%5Calpha%5C%20%5Cfrac%7B1%7D%7Bx%5E2%7D)
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
![y\ = \ \frac{k}{x^2}](https://tex.z-dn.net/?f=y%5C%20%3D%20%5C%20%5Cfrac%7Bk%7D%7Bx%5E2%7D)
Where k is the constant of proportionality
When x decreased by 50%
![Y = \frac{k}{(x - 0.5x)^2}](https://tex.z-dn.net/?f=Y%20%3D%20%5Cfrac%7Bk%7D%7B%28x%20-%200.5x%29%5E2%7D)
![Y = \frac{k}{(0.5x)^2}](https://tex.z-dn.net/?f=Y%20%3D%20%5Cfrac%7Bk%7D%7B%280.5x%29%5E2%7D)
![Y = \frac{k}{0.25x^2}](https://tex.z-dn.net/?f=Y%20%3D%20%5Cfrac%7Bk%7D%7B0.25x%5E2%7D)
Expand
![Y = \frac{1}{0.25} * \frac{k}{x^2}](https://tex.z-dn.net/?f=Y%20%3D%20%5Cfrac%7B1%7D%7B0.25%7D%20%2A%20%5Cfrac%7Bk%7D%7Bx%5E2%7D)
Substitute
for y
![Y = \frac{1}{0.25} * y](https://tex.z-dn.net/?f=Y%20%3D%20%5Cfrac%7B1%7D%7B0.25%7D%20%2A%20y)
![Y = 4 * y](https://tex.z-dn.net/?f=Y%20%3D%204%20%2A%20y)
![Y = 4 y](https://tex.z-dn.net/?f=Y%20%3D%204%20y)
The percentage change is then calculated as:
![\%Change = \frac{Y - y}{y} * 100\%](https://tex.z-dn.net/?f=%5C%25Change%20%3D%20%5Cfrac%7BY%20-%20y%7D%7By%7D%20%2A%20100%5C%25)
![\%Change = \frac{4y - y}{y} * 100\%](https://tex.z-dn.net/?f=%5C%25Change%20%3D%20%5Cfrac%7B4y%20-%20y%7D%7By%7D%20%2A%20100%5C%25)
![\%Change = \frac{3y}{y} * 100\%](https://tex.z-dn.net/?f=%5C%25Change%20%3D%20%5Cfrac%7B3y%7D%7By%7D%20%2A%20100%5C%25)
![\%Change = 3 * 100\%](https://tex.z-dn.net/?f=%5C%25Change%20%3D%203%20%2A%20100%5C%25)
![\%Change = 300\%](https://tex.z-dn.net/?f=%5C%25Change%20%3D%20300%5C%25)
<em>The percentage in y is 300%</em>
Hello!
You can only add values that have the same terms
4k^4 + 5k^4 = 9k^4
-3k + k = -2k
-8 + 2 = -6
The answer is 9k^4 - 2k - 6
Hope this helps!