Answer:
2(x+5)*(x-9)
Step-by-step explanation:
 
        
             
        
        
        
A regular trapezoid is shown in the picture attached.
We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5
Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:
AH = (AB - DC) ÷ 2
      = (7 - 5) ÷ 2
      = 2 ÷ 2
      = 1
Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²) 
      = √(5² - 1²)
      = √(25 - 1)
      = √24
      = 2√6
Last, we have all the information needed in order to calculate the area by the formula:

A = (7 + 5) × 2√6 ÷ 2
   = 12√6
The area of the regular trapezoid is 
12√6 square units.
 
        
        
        
<span> I am assuming you want to prove: 
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x). 
 </span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get: 
LHS = csc(x)/[1 - cos(x)] 
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]} 
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares 
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x). 
 </span>
<span>Then, since csc(x) = 1/sin(x): 
LHS = {csc(x)[1 + cos(x)]}/sin^2(x) 
= {[1 + cos(x)]/sin(x)}/sin^2(x) 
= [1 + cos(x)]/sin^3(x) 
= RHS. 
 </span>
<span>I hope this helps! </span>
        
             
        
        
        
Answer: 4x+11
Step-by-step explanation: Distribute the negative to the -8 and -2x. This will make 2x+3+8+2x. Combine like terms and you will get 4x+11. Hope this helps!
 
        
             
        
        
        
Answer:
x = -1
Step-by-step explanation:
1/2 = 2/4
____________________________________________________________
1/4x + 3/4 = 2/4
<u>         -3/4     -3/4</u>
1/4x = -1/4
divide by -1/4
x = -1
<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>
<em><u>-XxDeathshotxX</u></em>