Classifying a Quadrilateral on the Coordinate Plane Determine whether quadrilateral ABCD with vertices
A(-4,-5), B(-3,0), C(0, 2), and D(5, 1) is a trapezoid.
.
3
Step 1: Find the slope of AB. The slope of AB is
С
D
Step 2: Find the slope of DC. The slope of DC is
B
x
Step 3: Find the slope of BC. The slope of BC is
Step 4. Find the slope of AD. The slope AD is
-5
A
The quadrilateral is a trapezoid because
Intro
Done
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If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0