Answer:what question do you want an answer to
Step-by-step explanation:
First we need to convert the given equation of circle to its standard form, only then we can calculate its center and radius.
![x^{2} +y^{2} +14x-10y+65=0 \\ \\ x^{2} +2(x)(7)+ y^{2}-2(y)(5)=-65 \\ \\ x^{2} +2(x)(7)+ (7)^{2}+ [y^{2}-2(y)(5)+ (5)^{2}]=-65+(7)^{2}+(5)^{2} \\ \\ (x+7)^{2}+(y-5)^{2}=9](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B14x-10y%2B65%3D0%20%5C%5C%20%20%5C%5C%20%0A%20x%5E%7B2%7D%20%2B2%28x%29%287%29%2B%20y%5E%7B2%7D-2%28y%29%285%29%3D-65%20%5C%5C%20%20%5C%5C%20%0A%20%20x%5E%7B2%7D%20%2B2%28x%29%287%29%2B%20%287%29%5E%7B2%7D%2B%20%20%5By%5E%7B2%7D-2%28y%29%285%29%2B%20%285%29%5E%7B2%7D%5D%3D-65%2B%287%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0A%20%28x%2B7%29%5E%7B2%7D%2B%28y-5%29%5E%7B2%7D%3D9%20%20)
The above equation is in standard form.
The center of the circle is (-7, 5) and its radius is 3.
Answer:
216 cubes.
Step-by-step explanation:
The easiest way to take on this problem is to divide the side of the bigger cube by the smaller one.
![3 \div \frac{1}{2} = 3 \times 2 = 6](https://tex.z-dn.net/?f=%203%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%3D%203%20%5Ctimes%202%20%3D%206)
Then, as in with volume, we cube this value to find the number of cubes necessary to fill such a space.
![{6}^{3} = 216](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B3%7D%20%20%3D%20216)