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:
6.79
Step-by-step explanation:
First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.
7 x 0.03 = 0.21
Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.
7 - 0.21 = 6.79
Answer:
176 girls
Step-by-step explanation:
31+44 = 75
300/75 = 4
4*44 = 176
176 girls in the school
V=2 BECAUSE
7v2+1=29
7v2=28
v2=4
v=2
