Standard form for circle with radius r and center (h,k) is
(x-h)^2+(y-k)^2=r^2
r=36
center at -2,-7
(x-(-2))^2+(y-(-7))^2=36^2
(x+2)^2+(y+7)^2=1296
firts option
        
             
        
        
        
Answer:
a) The unit rate for calories per cup is 100 calories per cup
b) 200 calories in 2 cups of cereal. 
Step-by-step explanation:
A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.
a) What is the unit rate for calories per cup?
This is calculated as:
3/4 cup = 75 calories
1 cup = x
Cross Multiply
3/4x = 75 calories × 1
x = 75 calories /3/4 cup
x = 75 ÷ 3/4
x = 75 × 4/3
x = 100 calories per cup
The unit rate for calories per cup is 100 calories per cup
b) How many calories are there in 2 cups of the cereal?
From the above question
3/4 cup = 75 calories
2 cups = x
Cross Multiply
3/4x = 75× 2
x = 150 ÷ 3/4
x = 150 × 4/3
x = 200 calories
There are 200 calories in 2 cups of cereal. 
 
        
             
        
        
        
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
-1.75x = -28
x = 16
 
        
             
        
        
        
Answer:
The midpoint is (-2,7)
Step-by-step explanation:
To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2
(-9+5)/2 = -4/2 =-2
To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2
(3+11)/2 = 14/2 = 7
The midpoint is (-2,7)