The equation of the circle with center (h, k) and radius r is
.. (x -h)^2 +(y -k)^2 = r^2
1. selection D matches the specification of the circle
2. selection A matches the given equation
3. None of the offered selections matches
.. (x -3)^2 +(y -5)^2 = 74
4. selection A matches the requirements
 
        
        
        
Answer:
The answer to your question is the last option
Step-by-step explanation:
Quadratic equation
                                 2 = - x + x² - 4
Order the equation from the highest power to the lowest power. Do not consider 2 because it is not consider in the options given.
                                x² - x - 4  = 0
Identify a, b and c
                               (1) x² -(1) x - 4 = 0
     a = 1    b = -1    c = - 6      
Substitution               
                               
 
        
             
        
        
        
Firstly, you change it to miles per second and then to feet
102miles per hour(60×60s) 
102 per 120s
Divide
102÷120
=0.85miles per second
Convert to feet
=4488 feet per second
        
             
        
        
        
All you have to do is look at the graph.
5 gallons of gas is $8.80, let’s figure out how much one gallon is. 8.80/5=$1.76.
1.76•6=10.56 check
1.76•7=12.32 check
Now let’s figure out how much 10 gallons of gas cost.
1.76•10=17.6
10 gallons of gas costs $17.60