Answer:
The solutions listed from the smallest to the greatest are:
x: 
y: -1 1 -1 1
Step-by-step explanation:
The slope of the tangent line at a point of the curve is:
The tangent line is horizontal when 
. Then:
, for all 
, for all
The first four solutions are:
x:
y: 1 -1 1 -1
The solutions listed from the smallest to the greatest are:
x:
y: -1 1 -1 1
Answer: 7
Step-by-step explanation:
Answer:
CD = 14 cm; DE = 21 cm
Step-by-step explanation:
The perimeter is the sum of side lengths (in centimeters), so ...
CD + DE + CF + EF = 55
CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF
CD + DE = 35 . . . . . . . . . . . . . . subtract 20
___
The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...
CD/DE = CF/EF = 8/12 = 2/3
___
So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...
CD = 2·7 cm = 14 cm
DE = 3·7 cm = 21 cm
<em>Check</em>
CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements
