Answer:
Lot C
Step-by-step explanation:
The slope of the line is -(1/2)
Answer:
B
Step-by-step explanation:
<DCE = BCA (vertical angles are congruent)
DC corresponds to CB,
DC/CB = 15/5 = 3
EC corresponds to CA,
EC/CA = 12/4 = 3
Thus, two sides in ∆ABC are proportional to two corresponding sides in ∆EDC, and also, the included angle in ∆ABC and ∆EDC are congruent to each other. Therefore, based on the SAS Similarity Theorem, ∆ABC and ∆EDC are similar.
Average rate of change of the function 
Solution:
Given function: 
from x = 1 to x = 5
Substitute x = 1 and x = 5 in f(x).
Let us find the average rate of change of the function.
Average rate of change
Here a = 1 and b = 5.
Substitute f(5) and f(1).
Average rate of change of the function
Answer:
-3x^2 +7x -4
-------------------------------
(x-3)(x-2)(x+3)
Step-by-step explanation:
2 3x
-------- - ----------
X^2-9 x^2 -5x+6
Factor
2 3x
-------- - ----------
(x-3)(x+3) (x-3)(x-2)
Get a common denominator
2 (x-2) 3x(x+3)
-------- - ----------
(x-3)(x+3)(x-2) (x-3)(x-2)(x+3)
2x-4 - (3x^2 -9x)
-------------------------------
(x-3)(x-2)(x+3)
Distribute
2x-4 - 3x^2 +9x
-------------------------------
(x-3)(x-2)(x+3)
Combine like terms
-3x^2 +7x -4
-------------------------------
(x-3)(x-2)(x+3)
