Segment DE is midsegment of triangle ABC. What is the length of segment DE?
2 answers:
Answer:
B) 10
Step-by-step explanation:
If DE is midsegment of the triangle, we know that AC measures twice as DE.
In the problem we have that AC = x + 15 and DE = x + 5
Writing this as an equation we have:
Therefore x = 5 and the length of segment DE is:
x + 5 = 5 + 5 = 10
Therefore the correct answer is B) 10
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Answer:
5 more than 30 trees should be planted, for a total of 40 trees per acre.
Step-by-step explanation:
Let x be the number of trees beyond 30 that are planted on the acre
The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)
We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree
So, number of oranges produced =
=
=
The derivative Oranges'(x) = 100-20x
Substitute first derivative equals to 0
Using the second derivative test,
Oranges"(x) = -20
20 is negative,
So, this is the case of maximum.
Thus, 5 more than 30 trees should be planted, for a total of 40 trees per acre.