16. The model represents an equation.
1 answer:
Answer:
The answer is below
Step-by-step explanation:
The model is not given, but I would attached a model and show you how to solve.
Solution:
An equation is a mathematical statement that makes two expressions to be equal to each other. Models can be used to represent equations through the use of various forms such as tiles model, balance scale model, cups and counter model, and so on.
From the model attached, we can form an equation. The equation is given as:
(5 * x) + (-1 * 9) = (-x * 3) + (1 * 20)
5x + (-9) = -3x + (20)
5x - 9 = -3x + 20
collecting like terms:
5x + 3x = 20 + 9
Simplifying:
8x = 29
8x/8 = 29 / 8
x = 29 / 8
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Answer:
The given function symmetric about the y-axis.
Step-by-step explanation:
The given function is
.... (1)
1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point (r,-θ ) or (-r, π - θ ) also lies on the graph.
2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.
3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.
Put (r, -θ ) in the given function.
Therefore it is not symmetric about x-axis.
Put (-r, -θ ) in the given function.
Therefore it is symmetric about y-axis.
Put (-r,θ ) in the given function.
Therefore it is not symmetric about the origin.