Why is it important to keep two sides of an equation balanced when solving?

Mathematics

1 answer:

Lady_Fox [76]2 years ago

5 0

Answer:

An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation. If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.

Step-by-step explanation:

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1) The x-axis represents the energy ( $E$ ), in joules. The y-axis represents the amplitude ( $x$ ), in milimeters.

2) The curve depicts an monotonous decrecent rate of change.

3) The amplitude is directly proportional to the root square of the energy.

<h3>How to analyze a graph relationship between two variables</h3>

In this question we have a relationship between two variables, in which we must apply principles of functional analysis to respond three questions presented in the statement.

Now we proceed to answer the three questions below:

What is on the x-axis? The y-axis? R/ The x-axis represents the energy ( $E$ ), in joules. The y-axis represents the amplitude ( $x$ ), in milimeters.
How would you describe the rate of change of the line? R/ The curve depicts an monotonous decrecent rate of change, that is, the slope converges to zero when the energy tends to infinite.
What does this tell you about the relationship between amplitude and energy? R/ The curve show a strong similarity with a function of the form $x = A\cdot \sqrt{E}$ . Hence, the amplitude is directly proportional to the root square of the energy.