Answer:

Step-by-step explanation:
The equation of a circle is given by:

Where (h, k) is the center and r is the radius.
The center of the circle is (1, -4).
And the radius is 3.
Substitute:

Simplify. Thus, our equation is:

Answer:
m = (-3, 2) x = (-1)
Step-by-step explanation:
Just took this K12 test.
Answer:
<h2>
2(a + 2b)</h2>
Step-by-step explanation:

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression.

Collect like terms

Factor out 2 from the expression

Hope this helps...
Good luck on your assignment..
Answer:
Step-by-step explanation:
Let us assume that if possible in the group of 101, each had a different number of friends. Then the no of friends 101 persons have 0,1,2,....100 only since number of friends are integers and non negative.
Say P has 100 friends then P has all other persons as friends. In this case, there cannot be any one who has 0 friend. So a contradiction. Hence proved
Part ii: EVen if instead of 101, say n people are there same proof follows as
if different number of friends then they would be 0,1,2...n-1
If one person has n-1 friends then there cannot be any one who does not have any friend.
Thus same proof follows.