Answer:
9
Step-by-step explanation:
1) Using n√a^m = (n√a)^m, rewrite the root like (3√27)^2
2) Write the number in exponential form with a base of 3: (3√3^3)^2
3) Calculate the cube root: 3^2
4) Evaluate the power: 3^2=9
None, because you must add the 2 shortest sides and the total must be greater than the longest side in order to be able to make a triangle.
ANSWER
![\begin{gathered} center=(-3,-5) \\ r=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20center%3D%28-3%2C-5%29%20%5C%5C%20r%3D4%20%5Cend%7Bgathered%7D)
EXPLANATION
Given;
![x^2+y^2+6x+10y+18=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2%2B6x%2B10y%2B18%3D0)
The standard equation of circle of a circle centered at (h,k) with radius r is;
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Re-write the given equation in the standard form, we have;
![\begin{gathered} x^{2}+y^{2}+6x+10y+18=0 \\ x^{2}-6x+(\frac{6}{2})^{2}+y^{2}+10y+(\frac{10}{2})^{2}=-18+9+25 \\ (x-3)^2+(y-5)^2=4^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E%7B2%7D%2By%5E%7B2%7D%2B6x%2B10y%2B18%3D0%20%5C%5C%20x%5E%7B2%7D-6x%2B%28%5Cfrac%7B6%7D%7B2%7D%29%5E%7B2%7D%2By%5E%7B2%7D%2B10y%2B%28%5Cfrac%7B10%7D%7B2%7D%29%5E%7B2%7D%3D-18%2B9%2B25%20%5C%5C%20%28x-3%29%5E2%2B%28y-5%29%5E2%3D4%5E2%20%5Cend%7Bgathered%7D)
Hence, h=-3, k=-5, radius is 4
Answer:
Ok since u want to learn ill teach you :)
Get your 3 points and then your do this
Example= 3 power of 2 plus 5 power of 2
Then ur gonna add and get your answer hope this helps
(if u still don't get it ill just give u the answer)
7.2
Step-by-step explanation:
Hope u kinda got a good start on this :)