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tatuchka [14]
3 years ago
10

Which of the following statements is​ correct? A. The relationship between two variables is linear whether it is represented by

a straight line or by a curved line. B. The relationship between two variables is nonlinear whether it is represented by a straight line or by a curved line. C. The relationship between two variables is linear when it is represented by a straight line and nonlinear when it is represented by a curved line. D. The relationship between two variables is linear when it is represented by a curved line and nonlinear when it is represented by a straight line.
Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

Answer:

  C. The relationship between two variables is linear when it is represented by a straight line and nonlinear when it is represented by a curved line.

Step-by-step explanation:

The definition of "linear" is "related by a straight line". The definition of "non-linear" is "not related by a straight line." One simply needs to understand the definitions in order to choose the correct statement.

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Step-by-step explanation:

Having the following equation given in the exercise:

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z-(\frac{c}{d})=\frac{a}{b}+\frac{c}{d}-(\frac{c}{d})\\\\z-\frac{c}{d}=\frac{a}{b}

2. Now you must subtract the terms on the left side of the equation. Notice that the Least Common Denominator is "d". Then:

\frac{zd-c}{d}=\frac{a}{b}

3. Finally, you can apply the Multiplication property of equality and multiply both sides of the equation by "b". So, you get:

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h=\frac{A}{12a+12b}

Step-by-step explanation:

Solve for h, means that you have <em>to clear</em> h.

We have the expression A=12h(a+b)

We can divide both sides of the equation in (a+b):

A=12h(a+b)\\\frac{A}{(a+b)}=\frac{12h(a+b)}{(a+b)}\\\\\frac{A}{(a+b)}=12h

Now divide again both sides of the equation in 12.

\frac{A}{(a+b)}=12h\\\\\frac{A}{12(a+b)} =\frac{12h}{12}\\\\\frac{A}{12a+12b} =h

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The answer is: h=\frac{A}{12a+12b}

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Step-by-step explanation:

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