Answer:

Step by step explanation:

Using prime notation, the new coordinates after translation are;
<em>New coordinates;</em>
A': (-1, 1)
B': (-1, -2)
C': (3, -2)
D': (3, 2)
- From the attached image, we can see that the coordinates are;
A(-6, 5)
B(-6, 2)
C(-2, 2)
D(-2, 6)
- Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
- In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.
- Applying these translation numbers to our coordinates, we will now have;
A(-6 + 5, 5 - 4)
B(-6 + 5, 2 - 4)
C(-2 + 5, 2 - 4)
D(-2 + 5, 6 - 4)
Simplifying each of them gives us the new coordinates as;
A: (-1, 1)
B: (-1, -2)
C: (3, -2)
D: (3, 2)
Read more at; brainly.com/question/4726090
Answer: 6
All u have to do is multiply 3 and 2 to get 6
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )