Answer: 1/3
Step-by-step explanation:
We know that after dilation with scale factor k the coordinates of pre-image (x,y) map to (kx,ky) of the image.
From the given graph, the coordinate of A =(9,4) and the coordinate of A' (3,2)
Then
and 

Therefore, the scale factor of the dilation is 1/3.
This is the concept of algebra, the average number of muffins baked by each girl will be given as follows;
Muffins baked by Andrea=h muffins
Muffins baked by Violet =h-8
Average=(Total sum of numbers)/(Number of items)
total sum=h+(h-8)=2h-8
Number of items=2
thus;
average=(2h-8)/2=h-4
the answer in terms of h is (h-4)
You can expect 76 students in 2018 because from 2014 to 2015 it went up 6, then 8, then 10 so it would increase 12 students from 2017 to 2018
Answer: p = -4
Step-by-step explanation:
9-4(2p-1) = 45
9-8p+4 = 45
13-8p = 45
-8p = 45 - 13
-8p = 32
p = -(32/8)
p = -4
For these kinds of expressions use FOIL (first, outside, inside, last).
-2x • 9x = -18x^2
-2x • -3y = 6xy
8y • 9x = 72 xy
8y • -3y = -24y^2
Now combine them all:
-18x^2 + 78xy - 24y^2