Answer:
M
Step-by-step explanation:
AB was dilated by scale factor of 2 to create A'B'.
Connect points A and A' with a straight line, connect points B and B' with a straight line. The point where these two straight lines will intersect is the center of dilation.
As you can see, these lines intersect at point M, so, point M is the center of dilation.
Cramer's rule works as follows:
x+3y=16
3x+y=8
Then
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8
Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40
Therefore
x=-8/-8=1
y=--40/-8=5
Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8 ok.
4.5
6*-1=-6
-6/-4=1.5
1.5+3=4.5
There are 2 bananas because 8 divided by 4 is 2. Hope this helps
Answer:
60 adults and 90 students.
Step-by-step explanation:
90x4= 360
60x6= 360
360+360=720
