Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34
1 answer:
The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
<h3>What is triangle inequality theorem?</h3>Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,
The sides of first option are, 6,14,and 17.
This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.
Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
Learn more about the triangle inequality theorem here;
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Answer:
f(x)=-1/2x+3
Step-by-step explanation:
In this problem, the student is running a 3-kilometer race.
This means that the total length of the race is 3 km.
We also know that the student runs 1 kilometer every 2 minutes. For a uniform motion, the speed is given by
where in this case,
d = 1 km is the distance
t = 2 min is the time
So the speed is
We can therefore write the distance covered by the student (from the starting line) after x minutes as
However, here we want to write an expression for the distance of the student from the finish line.
Since the distance from the finish line at x = 0 is 3, therefore the distance from the finish line after x minutes is:
d = 3 - y'
So
which corresponds to the option:
f(x)=-1/2x+3
