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
Answer:
The table represents a function.
What is the value of f(-1)?
f(-1) = - 3
f(-1) = -1
f(-1) = 0
f(-1) = 6
Step-by-step explanation:
Answer:
x = 68 degrees
Step-by-step explanation:
Step 1: We know this is a isosceles triangle
Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59
Step 2: Use the 2 angles to find 'x'
Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68
Therefore angle x is 68 degrees
Multiply by a across the formula
