Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
932 divided by 6 is 155.166666667
Answer:
x=2
Step-by-step explanation:
3(3 - 8x) - 1 = -6x - 28
Distribute
9 -24x -1 = -6x -28
Combine like terms
8 -24x = -6x -28
Add 24x to each side
8-24x+24x = -6x-28+24x
8 = 18x-28
Add 28 to each side
8+28 = 18x-28+28
36 = 18x
Divide each side by 18
36/18 = 18x/18
2 =x
