Answer:
Step-by-step explanation:
Prime factorization requires dividing by primes starting with smallest prime number
402/2=201
201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is
2X3X67
 
        
             
        
        
        
Answer:
45.413 cm³
Step-by-step explanation:
Because the volume of a orament is 57 cm³ . The volume of twenty-seven oraments is 1242 cm³ . The volume of a cube is 46656 cm³ 
⇒The empty space is :
          46656-1242=45414 ( cm³)
                   So the empty space is 45414 cm³   
 
        
             
        
        
        
Given : The Rectangular Plot has an Area of 78125 m²
Given : The Width of the Rectangular Plot is 125 m
We know that : Area of a Rectangle is given by : Length × Width
⇒ Area of the Rectangular Plot = Length × 125
⇒ Length × 125 = 78125 


 
        
                    
             
        
        
        
Answer:
m= 7 / 6
Step-by-step explanation:
we need to start out by plugging in the integers into the formula which is the following:
m= y2 - y1 / x2 - x1
m= -2 - 12 / -6 - 6
then we begin to solve
m= -14 / -12
this is not in its simplest form, so we simplify it
(in this case I simplified by 2)
m= -7 / -6
and because two negatives will give you a positive, your final answer is
m= 7 / 6
 
        
             
        
        
        
Answer:
x1= -4, x2 = 7
Step-by-step explanation:
Move expression to the left-hand side:
1/4x-3/4-7/x=0
Write all the numerators above a common denominator:
x^2 - 3x - 28 /4x =0
When the quotient of expressions equal 0, the numerator has to be 0
x^2 + 4x - 7x - 28 = 0
x(x+4) - 7(x+4) =0
(x+4) × (x-7) =0
Separate into possible cases:
x+4=0
x-7=0