Answer:
X' = (2, -3)
Y' = (7, -9)
Z' = (10, -2) 
Step-by-step explanation:
to find the translation of each point substitute the x and y with the the numbers
eg; X ( -5,2) the x is 5 and the y is 2 
 so -5 + 7 = 2 (the x value)
 2 - 5 = -3 ( the y value)
 
        
             
        
        
        
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15         -15
x² - 2x - 15 = 0 
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative. 
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
 
        
                    
             
        
        
        
You need to set it up as a fraction and make the fractions equal each other. 
2/3 (2 of their books for 3 of yours)
x/18 (x amount of their books for 18 of yours)
(2/3)=(x/18)
multiply both sides by 18 
and you get 
36/3 which reduces to 12
so your answer is 12
        
                    
             
        
        
        
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
 
        
             
        
        
        
Answer:
21 sweets 
Step-by-step explanation:
Colm : Gaz
4 : 3
4 units = 28
1 unit = 28 ÷ 4 = 7
3 units = 7 x 3 = 21 sweets