Good Afternoon! Here is your answer step by step! 
Let's solve your equation step-by-step.
(z−5)(z+4)=52
Step 1: Simplify both sides of the equation.
z2−z−20=52
Step 2: Subtract 52 from both sides.
z2−z−20−52=52−52
z2−z−72=0
Step 3: Factor left side of equation.
(z+8)(z−9)=0
Step 4: Set factors equal to 0.
z+8=0 or z−9=0
z=−8 or z=9
Answer:
z=−8 or z=9
Have a blessed day! ❤
 
        
             
        
        
        
The final cost of skateboard will be $83.10
Step-by-step explanation:
Given, 
Cost of skateboard = $98
Coupon = 20% off
Amount of discount = 20% of cost of skateboard

Cost of skateboard after discount = Cost of skateboard - Amount of discount
Cost of skateboard after discount = 98 - 19.6 = $78.4
Sales tax = 6%
Sales tax amount = 6% of discounted price

Final cost of skateboard = Discounted price + Sales tax
Final cost of skateboard = 78.40+4.70 = $83.10
The final cost of skateboard will be $83.10
Keywords: sales tax, addition
Learn more about addition at:
#LearnwithBrainly
 
        
             
        
        
        
Answer:
pqr²+pr-rp²+rq²
Step-by-step explanation:
pq(r²+1)-r(p²+q²)
pqr²+pr-rp²+rq²
 
        
             
        
        
        
The number has 2 digits - let's call them x and y. The positive difference between the two combinations (lowest-highest and highest-lowest) is always equal to the positive difference of x and y, multiplied by 9.
For example:
76 and 67: 76 - 67 = 9 and ((7-6)*9) = 1*9 = 9
73 and 37: 73 - 37 = 36 and ((7-3)*9) = 4*9 = 36
        
             
        
        
        
Answer:
The smallest number n could be is 64.
Step-by-step explanation:
35 + 64 = 99
64/8 = 8
 = √289 = 17
 = √289 = 17