yola32
20.04.2021 •
Mathematics
Given f(x)=(x+2)^2 and g(x)=3/x. Determine: A)f(g(x)), B)f(g(1)), C) g(f(x)), D) g(f(1))
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Ответ:
The range of the possible values for the third side s is the interval (6,12.8)
see the explanation
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Let
s ----> the length of the third side of the triangle
Applying the Triangle Inequality Theorem
1)
2)
therefore
The range of the possible values for the third side s, applying the triangle inequality theorem is the interval (2,18)
All real number greater than 2 centimeters and less than 18 centimeters
Remember that
Applying the Pythagorean theorem
In an acute triangle
First case
c=10 cm,a=8 cm, b=s
Second case
a=8 cm,b=10 cm, c=s
The range of the possible values for the third side s, applying the Pythagorean Theorem is the interval (6,12.8)
therefore
The range of the possible values for the third side s, is the interval (6,12.8)