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Lady bird [3.3K]
3 years ago
5

How can i simplify

9%7B2%7D%20" id="TexFormula1" title="25 - ( \sqrt{16} - 1) \times (3 - 9){2} " alt="25 - ( \sqrt{16} - 1) \times (3 - 9){2} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0

We will use PEMDAS rule to simplify the given expression.

PEMDAS rule is given by:

P
-Parentheses first

E
-Exponents (ie Powers and Square Roots, etc.)

MD-Multiplication and Division (left-to-right)

AS
-Addition and Subtraction (left-to-right)
25-(\sqrt{16} -1) * (3-9) *2

Step 1: P-parenthesis first.

(3-9) is -6

√16 -1 = 4-1 =3

So new expression becomes : 25-3*(-6)*2

Step 2:

Multiplying (-3)*(-6)*2

We get +36

So new expression becomes : 25 +36

Step 3: Addition

Adding 25 and 36 we get 61

So final answer is 61 .



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\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

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