Answer:
![\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D1%5C%20%5Cvee%5C%20x%3D-3i%5C%20%5Cvee%5C%20x%3D3i%7D)
Step-by-step explanation:
![\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9](https://tex.z-dn.net/?f=%5Ctext%7BThe%20zeros%3A%7D%5C%5C%5C%5Cx%5E3-x%5E2%2B9x-9%3D0%5C%5C%5C%5Cx%5E2%28x-1%29%2B9%28x-1%29%3D0%5C%5C%5C%5C%28x-1%29%28x%5E2%2B9%29%3D0%5Ciff%20x-1%3D0%5C%20%5Cvee%5C%20x%5E2%2B9%3D0%5C%5C%5C%5Cx-1%3D0%5Cqquad%5Ctext%7Badd%201%20to%20both%20sides%7D%5C%5Cx-1%2B1%3D0%2B1%5C%5C%5Cboxed%7Bx%3D1%7D%5C%5C%5C%5Cx%5E2%2B9%3D0%5Cqquad%5Ctext%7Bsubtract%209%20from%20both%20sides%7D%5C%5Cx%5E2%3D-9%3C0%5Cqquad%5Ctext%7Bno%20real%20roots%7D%5C%5C%5Ctext%7BIn%20the%20set%20of%20complex%20numbers%3A%7D%5C%5Cx%5E2%3D-9%5Cto%20x%3D%5Cpm%5Csqrt%7B-9%7D%5C%5C%5Cboxed%7Bx%3D-3i%5C%20%5Cvee%5C%20x%3D3i%7D)
Answer:
10 cm
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
The volume of a cone is given by the formula ...
V = 1/3πr²h
The ratio of the volume of the cone to that of the sphere is ...
Vcone/Vsphere = (1/3πr²h)/(4/3πr³) = h/(4r)
In order for the ratio to have a value of 1, we must have ...
h = 4r
The height of the cone must be 4×2.5 cm = 10 cm to fit all of the ice cream.
The first one would be 190 and the second one would be 107
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
The answer would be 166 square miles