We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
Answer:
<em>options: A,C,E </em>are correct.
Step-by-step explanation:
We have to find the expression equivalent to the expression:
we know that: 
Hence,
-----(1)
A) 
(same as(1))
Hence, option A is correct.
B) 7 ; which is a different expression from (1)
Option B is incorrect.
C) 
(Same as (1))
Option C is correct.
D) 
which is a different expression from (1)
Hence, option D is incorrect.
E) 
; which is same as (1)
Hence, Option E is correct.
F) 
; which is not same as expression (1)
Hence, option F is incorrect.
Answer:
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
Consider the sum of the measures of the exterior angles for an n -gon.
N=180n−180(n−2)
Distribute 180 .
N=180n−180n+360 =360.
Step-by-step explanation:
