Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:

for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 : 
at x=6 : 
therefore, the rate of change in this interval is: 
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 : 
at x=4 : 
therefore, the rate of change in this interval is: 
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
Well on this problem recall area of a rectangle is defined by:
A = lw our w = 1/6 and our l = (x +

) we have let 'x' represent our original length.


12x + 8 = 11
12x = 11 - 8
12x = 3
x =

So our original length is
I'll go thru the problem and then you fill in the blanks yourself.
8 2
________
6 / 4 9 2
- 4 8
-----------------
1 2
1 2
--------------
0
Answer:
SAS
Step-by-step explanation:
ΔABD ~ ΔECD is similar through:
S - because ED = CD (Given)
A - same angle ∠D (Statement 2)
S - because AD = BD (Given)
Cheers!