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
<em>26</em>
- Step-by-step explanation:
<em>- 4x + 3y + z =</em>
<em>= -4(-5) + 3(2) + 0</em>
<em>= 20 + 6 + 0</em>
<em>= 26</em>
<em />
Answer:
0.35
Step-by-step explanation:
Answer:
Option D
- 1916 inches
Step-by-step explanation:
To easily solve this problem, we apply a rule of three
-916 inch ---------------------------------- 3 hours
x inch ---------------------------------- 8 hour
x = 916 inc * (8 hours / 3 hours)
x = 2442.66 inch
The nearest number for this value is option D
(Lets remember we are talking about average values)
