Justify each step of the solution by stating the property that was used to get to each step.

Mathematics

1 answer:

trapecia [35]3 years ago

3 0

For this case we have the following expression:

$4.5 (8-x) + 36 = 102-2.5 (3x + 24)$

Applying distributive property to the terms within parentheses we have:

$36-4.5x + 36 = 102-7.5x-60$

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$72-4.5x = 42-7.5x$

We add 7.5x to both sides of equality:

$72 + 3x = 42$

We subtract 72 from both sides of equality:

$3x = -30$

We divide between 3 on both sides of equality

$x = -10$

ANswer:

Distributive property

Add similar terms

Equality property of the sum

Equality subtraction property

Equality property of the division

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Suppose integral [4th root(1/cos^2x - 1)]/sin(2x) dx = A<br>What is the value of the A^2?<br><br>

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$\large \mathbb{PROBLEM:}$

$\begin{array}{l} \textsf{Suppose }\displaystyle \sf \int \dfrac{\sqrt[4]{\frac{1}{\cos^2 x} - 1}}{\sin 2x}\ dx = A \\ \\ \textsf{What is the value of }\sf A^2? \end{array}$

$\large \mathbb{SOLUTION:}$

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