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:
a. let x be the number of apples and let y be the number of oranges
x + y = 60
x = y + 12
b. Apples: 24 Oranges: 36
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
<em>The question shows a direct proportion between cups of rice and cups of water.</em>
<em>So, the first step is to get the proportionality constant (k)</em>
<em />
This is calculated using the following expression;

Where k represents cups of water and p represents cups of rice
Make k the subject of formula

Let x represents cups of water when cups of rice becomes p + 2;
k becomes:

Equate both expressions of k; to give

Multiply both sides by p + 2




<em>Hence, the expression that represents the cups of water needed is </em> <em></em>
<em></em>
 
        
             
        
        
        
Answer: B. y-1=2(x-3)
Step-by-step explanation:
First subtract both sides by 2x so it becomes -y=-2x-1
Second divide both sides by -1 so it becomes y=2x+1
After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x
 
        
             
        
        
        
Answer:x=1.2
Step-by-step explanation:
3x+2.5=6.1
3x=6.1-2.5
3x=3.6
x=1.2