If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle.
the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.
so the answer for this question is (5,0)
The solution to the problem is as follows:
<span>'(t) = 0 gives:
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative.
And so, s(t) is maximum for t = 2.5.
Maximum height is:
S = -12(2.5)^2 + 60(2.5) +8 = 233ft
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I hope my answer has come to your help. God bless and have a nice day ahead!
Yuri will have 1/7 of a bag of carrots left. This is because half of 2 is 1.
Answer:
can also be expressed as a ratio of two integers.
Step-by-step explanation:
Assume x and y are rational number, then x and y can be written as:
, where a and b are integers and b≠0
, where c and d are integers and d≠0
Then,
= 
=
Since the set of integers are closed under multiplication, a*d is also an integer. Similarly b*c is also an integer.
can be expressed as a proportion of two integers, provided that y≠0. From this we can conclude that
is a rational number, which concludes that the set of rational numbers are closed under division.