The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles. 
<h3>
What is the Angle Bisector Theorem?</h3>
The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides. 
Note that the angle that has been dissected here is ∠CBD. Thus, 
 =
 = 
See the link below for more about Angle Bisector Theorem of the Triangle:
brainly.com/question/21475560
 
        
             
        
        
        
Answer:
C
Step-by-step explanation:
C is not a function because 5 has two y values 
 
        
                    
             
        
        
        
Answer:
D. A solid
Step-by-step explanation:
 
        
             
        
        
        
Answer: Vertex = (2, -15)  2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
       = 3(x² - 4x - 1)
           a=1   b=-4  c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 

       
          = 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
        = 12  - 24 - 3
        = -15
So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE
Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
        = 0  - 0 - 3
        = -3
So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE
 
        
             
        
        
        
Answer:
Step-by-step explanation:
x is greater or equal to 13