Answer:
A
Step-by-step explanation:
Given
x² - 13x + 30
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 13)
The factors are - 3 and - 10, since
- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus
x² - 13x + 30 = (x - 3)(x - 10) ← in factored form
Thus (x - 3) is a factor of the polynomial → A
 
        
                    
             
        
        
        
Answer:
x = 10
Step-by-step explanation:
Using the Pythagorean theorem:
8² + 6² = x²
64 + 36 = x²
x² = 100
x = 10
 
        
             
        
        
        
Answer:
-8<x<2
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
- as written: c = P - a - b - d/4
- with parentheses: c = 4P - a - b - d
Step-by-step explanation:
The meaning of the given expression is ...
   P = a + b + c + (d/4)
To solve for c, subtract all the terms on the right side not containing c.
   P -(a + b + (d/4)) = c
   c = P - a - b - (d/4)
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In such equations, parentheses are commonly missing. If that is the case here, then first we undo the division by 4, then we subtract the "not c" terms.
   P = (a + b + c + d)/4 . . . . maybe what you meant
   4P = a + b + c + d . . . . . . multiply by 4
   4P - (a +b +d) = c
   c = 4P -a -b -d
 
        
             
        
        
        
Answer:
In cold regions, such as the North Atlantic Ocean, ocean water loses heat to the atmosphere and becomes cold and dense. When ocean water freezes, forming sea ice, salt is left behind causing surrounding seawater to become saltier and denser. Dense-cold-salty water sinks to the ocean bottom.
Step-by-step explanation: