Answer:
B)  .
.
Step-by-step explanation:
The vertex form of the equation is given by  .
.
We plug in the vertex to obtain:
  .
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
  .
.
  .
.
 
Divide both sides by 4.

Therefore the equation is:
  .
.
 
        
             
        
        
        
Answer:
Hey!!!!!
It looks like you meant to attach a picture, forgot, or your internet connection went out. Because of whatever the cause, we cannot answer your question!
Could you try reposting it?
Thx!
Sahkfam
 
        
             
        
        
        
Answer:
x=34
Step-by-step explanation:
6 - ( x-7) ^ 1/3 = 3
Subtract 6 from each side
6-6 - ( x-7) ^ 1/3 = 3-6
 - ( x-7) ^ 1/3 = -3
Divide each side by a negative
  ( x-7) ^ 1/3 = 3
Cube each side
  ( x-7) ^ 1/3 ^3 = (3)^3
x-7 = 27
Add 7 to each side
x-7+7 = 27+7
x = 34
Check
6 - ( 34-7) ^ 1/3 = 3
6 - (27^1/3 = 3
6 -3 =3
3=3
Good solution
 
        
             
        
        
        
Answer:

Step-by-step explanation:
x² = 19x + 12
⇔ x² - 19x - 12 = 0
Calculating the discriminant :
b² - 4ac = (-19)² - 4×1×(-12) = 409 
The discriminant is positive ,then the equation has two solutions.

 
        
             
        
        
        
Answer:
5√3 = b
5 = d
10√3 = a
15 = c
Step-by-step explanation:
Sin60° = opp/hyp
sin60° = b/10
10sin60° = b
5√3 = b
Cos60° = adj/hyp
Cos60° = d/10
10Cos60° = d
5 = d
Sin30° = opp/hyp
Sin30° = 5√3/a
a = 5√3/Sin30°
a = 10√3
Tan30° = opp/adj
Tan30° = 5√3/c
c = 5√3/tan30°
c = 15