Given :
Center of circle, C = ( 1 , 5 )
Point on circle, P = ( 5 , 1 )
To Find :
The radius of a circle.
Solution :
We know, radius of circle is the distance between center and point of circle.
Distance between two points A(p,q) and B(r,s) is given by :

So, distance between the points (1, 5) and (5, 1) is :

Therefore, radius of circle is 5.66 units.
Hence, this is the required solution.
Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
Answer:
5n^2 - 3n - 8
Step-by-step explanation:
4n.5n - 4n.8 + 4.5n - 4.8
= 20n^2 - 32n + 20n - 32
= 20n^2 - 12n - 32
= 4 ( 5n^2 - 3n - 8 )
= 5n^2 - 3n - 8 [ answer ]