The foot of the ladder is 10 feet from the wall. The ladder is 2 feet longer than the height that it reaches on the wall. What i
s the length of the ladder?
2 answers:
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Consider the function First, factor it:
The x-intercepts are at points
1. From the attached graph you can see that
- function is positive for
- function is negative for
2. Since
the function is neither even nor odd.
3. The domain is the range is
Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get
Putting in (i), we get
Therefore, the contestant of proportionality is and the equation for the proportional relationship is
.