Answer:
Equation of parabola:  8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation:  (h, k + c) = (3, 4)
Directrix equation  y =  k - c = 0
so  h = 3,   k + c = 4,   k - c = 0
Solve  the system :  k + c = 4 and k - c = 0
add the equations together:     k + c + k - c = 4 + 0
2k = 4
k = 2
so   k + c = 4,    2 + c = 4,   c = 2
4c (y - k) = (x -  h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
 
        
             
        
        
        
Answer:
-0.5
Step-by-step explanation:
-12.5 - (-12) = -12.5 + 12 (because you distribute the minus sign). Then, when adding you get - 0.5
 
        
                    
             
        
        
        
It should be 11, yes. Sounds like simple subtraction 
        
             
        
        
        
Answer: 0.263169
Step-by-step explanation:
Since for every child there is two outcomes (either a boy or a girl), so it is a binomial distribution.
Let x = Number of boys
Given: probability that a child is a boy: p= 0.513
Binomial distribution formula : 
Now, the probability that  both children are boys= 

The chance both children are boys = 0.263169
 
        
             
        
        
        
Answer: If one angle of a parallelogram is a right angle, then all other angles would also be right angles and the parallelogram would be a rectangle.