Answer:
Step-by-step explanation:
Since ABC is an equilateral triangle, thus AB=BC=AC=x, therefore
The perimeter of ΔABC=36
⇒AB+BC+AC=36
⇒x+x+x=36
⇒3x=36
⇒x=12
Thus, AB=BC=AC=12.
Now, Since ΔADC is isosceles triangle, therefore AD=DC=y.
Perimeter of ΔADC=40
⇒AD+DC+CA=40
⇒x+y+y=40
⇒12+2y=40
⇒2y=28
⇒y=14
Therefore, AD=DC=14
Thus, Length of sides of ΔABC are AB=BC=AC=12 and Length of sides of ΔADC are AD=DC=14.
This is a more complicated way to write
The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.
In interval notation, the answer would be with the curved parenthesis to indicate "do not include y = 2 as part of the range".
