Answer:
![(x - 2)^{2} + (y - 1)^{2} = 17](https://tex.z-dn.net/?f=%28x%20-%202%29%5E%7B2%7D%20%2B%20%28y%20-%201%29%5E%7B2%7D%20%3D%2017)
Step-by-step explanation:
The current equation of the circle is:
⇒ ![x^{2} + y^{2} - 4x - 2y + 10 = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20-%204x%20-%202y%20%2B%2010%20%3D%200)
In order to get it into the standard form;
⇒ ![(x - a)^{2} + (y - b)^{2} = r^{2}](https://tex.z-dn.net/?f=%28x%20-%20a%29%5E%7B2%7D%20%2B%20%28y%20-%20b%29%5E%7B2%7D%20%3D%20r%5E%7B2%7D)
We must complete the square;
⇒ ![(x - 2)^{2} - 4 + (y - 1) - 1 + 10 = 0](https://tex.z-dn.net/?f=%28x%20-%202%29%5E%7B2%7D%20-%204%20%2B%20%28y%20-%201%29%20-%201%20%2B%2010%20%3D%200)
Now, collect like terms and rearrange;
⇒ ![(x - 2)^{2} + (y - 1)^{2} = -5?](https://tex.z-dn.net/?f=%28x%20-%202%29%5E%7B2%7D%20%2B%20%28y%20-%201%29%5E%7B2%7D%20%3D%20-5%3F)
We now know that the Centre is at the point (2, 1).
We can use the distance formula to find the radius;
⇒ ![d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_%7B2%7D%20-%20x_%7B1%7D%29%5E%7B2%7D%20%2B%20%28y_%7B2%7D%20-%20y_%7B1%7D%29%5E%7B2%7D%7D)
⇒ ![d = \sqrt{(6 - 2)^{2} + (2 - 1)^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%286%20-%202%29%5E%7B2%7D%20%2B%20%282%20-%201%29%5E%7B2%7D%7D)
⇒ ![\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B17%7D)
Therefore the radius squared is 17.
Now substitute into our equation:
⇒ ![(x - 2)^{2} + (y - 1)^{2} = 17](https://tex.z-dn.net/?f=%28x%20-%202%29%5E%7B2%7D%20%2B%20%28y%20-%201%29%5E%7B2%7D%20%3D%2017)
17 is the total inches
17/2 is 8.5 multiplied by 3 is 25.5 miles which convert to 26
so the answer is C!
hope I helped!
You could use something like I have 17 people in my class. I want to give them each 6 pencils. How many pencils do I need. I think this is what your were asking for
Answer:14 m
Step-by-step explanation:
Dada
larga ![l=20\ m](https://tex.z-dn.net/?f=l%3D20%5C%20m)
superficie ![A=280\ m^2](https://tex.z-dn.net/?f=A%3D280%5C%20m%5E2)
Suponga que el ancho es w
La superficie está dada por el producto de la longitud y la anchura.
![\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m](https://tex.z-dn.net/?f=%5Ctherefore%20A%3Dlw%5C%5C%5CRightarrow%20280%3D20%5Ctimes%20w%5C%5C%5CRightarrow%20w%3D14%5C%20m)
Por lo tanto, el ancho es de 14 m.
Answer:
(i think it is for q6 so) $6
Step-by-step explanation:
4.50÷3=1.50 (that's for 1 pound of fudge)
1.50×4=6