Which algebraic expression is a polynomial?
1 answer:
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Answer:
Based on the model, the length of the wall is ft, the width of the wall is
ft, and the height of the wall is
ft. The volume of the portion of security wall that Tim has constructed so far is
cu ft.
Step-by-step explanation:
Given:
The figure constructed shows a rectangular prism made up of small wooden cubes of length .
Width of the prism = .
To find length , height and volume of the figure.
Solution:
From the figure we can conclude that :
Length side of the prism counts 9 cubes.
Thus, length of the prism will be given as :
⇒
⇒
⇒ (Answer)
Height side of the prism counts 11 cubes.
Thus, height of the prism will be given as :
⇒
⇒
⇒ (Answer)
Volume of the prism can be given as :
⇒
⇒
⇒ (Answer)
You solve the substitution method to solve a system of equality by expressing one variable in terms of the other using one equation, and then plugging this expression in the other(s).
In this case, the first equation gives us a way to express n in terms of m. So, we can replace every occurrence of n in the second equation with the given formula.
The result is
So, the second equation turned to be an equality, i.e. an equation where both sides are the same.
This implies that the system has infinitely many solutions, because every couple such that
is a solution to the system, because it satisfies both equations: the first is trivially satisfied, whereas the second is an identity, and as such is satisfied by any value of the variable.