<h2>
Hello!</h2>
The answer is:
The general form of the circle is:
![x^{2} -2x+y^{2} +4y=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-2x%2By%5E%7B2%7D%20%2B4y%3D0)
<h2>
Why?</h2>
We are given the standard form of a circle, so, to calculate the general form, we need to solve notable products.
We must remember the way to solve the notable product:
![(a+b)^{2}=a^{2}+2ab+b^{2} \\\\(a-b)^{2}=a^{2}-2ab+b^{2}](https://tex.z-dn.net/?f=%28a%2Bb%29%5E%7B2%7D%3Da%5E%7B2%7D%2B2ab%2Bb%5E%7B2%7D%20%5C%5C%5C%5C%28a-b%29%5E%7B2%7D%3Da%5E%7B2%7D-2ab%2Bb%5E%7B2%7D)
So,
We are given the equation:
![(x-1)^{2}+(y+2)^{2}=5](https://tex.z-dn.net/?f=%28x-1%29%5E%7B2%7D%2B%28y%2B2%29%5E%7B2%7D%3D5)
Then, solving the notable products, and adding/subtracting like terms, we have:
![x^{2} -2*1x+1+y^{2}+2*2y+4=5\\x^{2} -2x+1+y^{2} +4y+4=5\\\\x^{2} -2x+y^{2} +4y+1+4-5=0\\\\x^{2} -2x+y^{2} +4y=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-2%2A1x%2B1%2By%5E%7B2%7D%2B2%2A2y%2B4%3D5%5C%5Cx%5E%7B2%7D%20-2x%2B1%2By%5E%7B2%7D%20%2B4y%2B4%3D5%5C%5C%5C%5Cx%5E%7B2%7D%20-2x%2By%5E%7B2%7D%20%2B4y%2B1%2B4-5%3D0%5C%5C%5C%5Cx%5E%7B2%7D%20-2x%2By%5E%7B2%7D%20%2B4y%3D0)
Hence, have that the general form of the circle is:
![x^{2} -2x+y^{2} +4y=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-2x%2By%5E%7B2%7D%20%2B4y%3D0)
Have a nice day!
Answer:
Below.
Step-by-step explanation:
1/20 is a small distance needed to be traveled right?
20/20 is the whole length.
If 1/20 gets traveled in 3/4 of a second,
3/4x2- or 2(1/20) which equals one right?
20(3/4) = 15 seconds
Answer:
<h2>-70</h2>
Step-by-step explanation:
![10^2=10\times10=100\\\\\dfrac{10^2}{-5}+\dfrac{10^2}{-2}=\dfrac{100}{-5}+\dfrac{100}{-2}=-20+(-50)=-70](https://tex.z-dn.net/?f=10%5E2%3D10%5Ctimes10%3D100%5C%5C%5C%5C%5Cdfrac%7B10%5E2%7D%7B-5%7D%2B%5Cdfrac%7B10%5E2%7D%7B-2%7D%3D%5Cdfrac%7B100%7D%7B-5%7D%2B%5Cdfrac%7B100%7D%7B-2%7D%3D-20%2B%28-50%29%3D-70)
4.5 pounds
72 ounces
HOW-TO:
1. we know that 1 pound is 16 ounces.
So let's find how many of 16 are needed for 72.
72 ÷ 16 = 4.5
Use that answer and multiply it by the number of pounds per 16 ounces.
You get 4.5 pounds.