(x-3) *squared* + (y + 2) *squared* = 6
Answer:
b = 
Step-by-step explanation:
To clear the radicals square both sides
=
( cross- multiply )
(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL
48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )
6b - 8a - ab = b - 55 ( add 8a to both sides )
6b - ab = b - 55 + 8a ( subtract b from both sides )
6b - ab - b = 8a - 55, that is
5b - ab = 8a - 55 ← factor out b from each term on the left side )
b(5 - a) = 8a - 55 ← divide both sides by (5 - a)
b = 
R=2.1
Diameter would be half of that
Answer:

Step-by-step explanation:
We need to solve 
We know that,

Using the above formula,
![(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn](https://tex.z-dn.net/?f=%288m-3n%29%5E2%20-%20%284m%2B3n%29%5E2%3D%288m%29%5E2%2B%283n%29%5E2-2%288m%29%283n%29-%5B%284m%29%5E2%2B%283n%29%5E2%2B2%284m%29%283n%29%5D%5C%5C%5C%5C%3D64m%5E2%2B9n%5E2-48mn-%2816m%5E2%2B9n%5E2%2B24mn%29%5C%5C%5C%5C%3D64m%5E2%2B9n%5E2-48mn-16m%5E2-9n%5E2-24mn%5C%5C%5C%5C%3D48m%5E2-48mn-24mn%5C%5C%5C%5C%3D48m%5E2-72mn)
So, the final answer is
.