Answer:
6
Step-by-step explanation:
to find the perimeter of a trapezoid you add all the sides together
therefore we do it backwards
24-3-6-9=6
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
(-1,5) (0,2)
y2= 2, y1 = 5, x2 = 0, x1 = -1
Slope m = [y2 - y1]/[x2 - x1]
m = {2 - 5}/{0+1}
m = -3/1
m = -3
And 
y - y1 = m(x - x1)
y - 5 = -3(x + 1)
y - 5 = -3x - 3
y = -3x - 3 + 5
y = -3x + 2
 
        
             
        
        
        
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2 
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2  = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is  2 + 4000/x^3
when x = 10  this is positive so x = 10 gives a minimum value of A.
So y =  500/x^2
= 500/100
= 5.
 
        
             
        
        
        
Answer:
200 a piece bc thats half