Answer:
(x-7)  (x+4)
Step-by-step explanation:
x^2 - 3x - 28
What two numbers multiply to -28 and add to -3
-7*4 = -28
-7+4 = -3
(x-7)  (x+4)
 
        
                    
             
        
        
        
Answer:
Volume = 6 * 6 * 6 = 216 m³
SA = 36 * 6 = 216 m²
Step-by-step explanation:
 
        
             
        
        
        
Answer:
12/4
Step-by-step explanation:
4/4 is 1
1/4 is well 1/4
2 2/4 is 2 1/2
12/4 is 3
the greatest fraction is 3
 
        
                    
             
        
        
        
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 
A graph of the solution verifies that the solution is correct.
 
        
        
        
25 - 5x = 80
 + 5x         + 5x
25 = 5x + 80
- 80         -80
-55 = 5x
-55/5 = 11
x = 11 
Hope I helped!
Let me know if you need anything else!
~ Zoe