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: He owes Beth and his mom $125
Step-by-step explanation:
Answer:
just add the equation and solve it then the value of X could be found then put the value of X and the value of y can be found. Just like in the below
Step-by-step explanation:
X+y=3 ------------ equation 1
4x-y=7 ------------ equation 2
adding equation 1 and 2
X+y=3
+ 4x-y=7
-----------------
5x = 10
X = 10/5
X = 2
putting the value of X in equation 1
or, 2+y=3
or, y = 3-2
Thus, y = 1
Answer:
c. 4.27
Step-by-step explanation:
We have been given the regression equation of for predicting number of speeding tickets (Y) from information about driver age (X) as 
.
To find the predicted number of tickets for a twenty-year-old, we will substitute 
in our given equation.
Therefore, the predicted number of tickets for a twenty-year-old would be 4.27 tickets.
