From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.
We want to find

, where

is a binomial distribution with

and

. So
Answer:
m=5
Step-by-step explanation:
Y2-Y1
m= ______
X2-X1
X1= 3
Y1= 15
X2= 9
Y2= 45
45-15 30
____= ____
9-3 6
30/6=5
m=5
5(100)= 500
5(90)= 450
5(8)= 40
500+450+40= 990
The answer is 990. Hope this helps!