Answer:
(7, - 2 )
Step-by-step explanation:
a translation of 2 units right means add 2 to the x- coordinate
a translation of 3 units up means add 3 to the y- coordinate
(5, - 5 ) → (5 + 2, - 5 + 3 ) → (7, - 2 )
 
        
             
        
        
        
You can use the letters: a, b, c, d, e, f, g , h, i, and j to make a 5-letter passcode. So you have 10 letters.
For the 1st place you can use 10 letters, for the 2nd you can use 9 ( because the repetition of letters is not allowed ) and so on.
Therefore: 10 * 9 * 8 * 7 * 6 = 30,240
It is also known as a variation of m elements choose n ( V m,n ):
V (10, 5 ) = m * ( m - 1 ) *...* ( m - n + 1 ) = 10 * 9 * 8 * 7 * 6 = 30,240
Answer: You can make a passcode in 30,240 ways.
        
             
        
        
        
9514 1404 393
Answer:
   S = 4.5π ≈ 14.14 units
Step-by-step explanation:
The arc length is given by ...
   s = rθ . . . . . r = radius; θ = central angle in radians
The angle 135° is ...
  135° = 135°(π/180°) = 3π/4 radians
The arc of interest has length ...
   s = 6×3π/4 = 9/2π ≈ 14.14 . . . units
 
        
             
        
        
        
So 
(x-4)^2=(x-4)(x-4)=x^2-4x-4x+16=x^2-8x+16