Answer: it is the first one
Step-by-step explanation:
 
        
             
        
        
        
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9
 
        
             
        
        
        
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 
Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189
The equation of the axis of symmetry is    x = -b/(2a), which here equals
x = -(12)/[2(-1)], or     x = 6
This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
        
             
        
        
        
Answer:24v+24w-16
Step-by-step explanation:
8(3v+3w-2)
8 times 3 =24
So 24v+24w
Then 8 times 2=16
So the answer would be 24v+24w-16
 
        
                    
             
        
        
        
Answer:
yes
Step-by-step explanation:
Polynomial Long Division :
 4.3    Polynomial Long Division
Dividing :  x5-5x4+10x3-10x2+5x-1 
                              ("Dividend")
By         :    x-1    ("Divisor")
dividend     x5  -  5x4  +  10x3  -  10x2  +  5x  -  1 
- divisor  * x4     x5  -  x4                 
remainder      -  4x4  +  10x3  -  10x2  +  5x  -  1 
- divisor  * -4x3      -  4x4  +  4x3             
remainder             6x3  -  10x2  +  5x  -  1 
- divisor  * 6x2             6x3  -  6x2         
remainder              -  4x2  +  5x  -  1 
- divisor  * -4x1              -  4x2  +  4x     
remainder                     x  -  1 
- divisor  * x0                     x  -  1 
remainder                        0
Quotient :  x4-4x3+6x2-4x+1  Remainder:  0