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: For every 1 can of red paint, the number of yellow paints used by the painter is
and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by

So, for every 1 can of red paint, the number of yellow paints used by the painter is 
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.
Answer:
70
Step-by-step explanation:
Step-by-step explanation:
Let x = number of games that Alex played
The total money that he spent C is given by
If he spent $45, then we can write

Solving for x, we get

This means that Alex played 15 games.