Answer:
x = 10.5
Step-by-step explanation:
we know that ZP = PX (its the midpoint of the rectangle)
11 = PX
ZP + PX = ZX
11+11 = ZX
22 = ZK
2x + 1 = 22
2x = 22 -1
2x = 21
x = 21/2
x = 10.5
 
        
             
        
        
        
The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
13/8(12^4)-13/8(5^4)
=32680+3/8 sq. units
=
        
             
        
        
        
Yes. all the friends will get at least one cup of juice
        
             
        
        
        
Answer:
x = -11/4
Step-by-step explanation:
Given that:
 -2 = 5 / (2x+3)
Multiplying both sides by (2x + 3)
-2(2x + 3) = 5
"-" sign will alter the inner signs
-4x -6 = 5
Adding 6 on both sides:
-4x -6 +6 = 5 + 6
-4x  = 11
Dividing both sides by -4
-4x/-4 = 11/-4
x = -11/4
i hope it will help you!