$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ \sqrt{7}}}\quad ,&{{ -\sqrt{2}}})\quad 
% (c,d)
&({{4\sqrt{7}}}\quad ,&{{ 5\sqrt{2}}})
\end{array}~~~
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
$

$\bf d=\sqrt{[4\sqrt{7}-\sqrt{7}]^2~+~[5\sqrt{2}-(-\sqrt{2})]^2}
\\\\\\
d=\sqrt{(4\sqrt{7}-\sqrt{7})^2~+~(5\sqrt{2}+\sqrt{2})^2}\implies d=\sqrt{(3\sqrt{7})^2~+~(6\sqrt{2})^2}
\\\\\\
d=\sqrt{3^2\cdot 7~~+~~6^2\cdot 2}\implies d=\sqrt{63+72}\implies d=\sqrt{135}
\\\\\\
\begin{cases}
135=5\cdot 3\cdot 3\cdot 3\\
\qquad 5\cdot 3^2\cdot 3\\
\qquad 15\cdot 3^2
\end{cases}\implies d=\sqrt{15\cdot 3^2}\implies d=3\sqrt{15}$

8 0

3 years ago

Reporting Stockholders' Equity

DaniilM [7]

The total stockholders equity based on the information given will be $8285000.

<h3>How to compute the equity?</h3>

The stockholders equity will be calculated thus:

Common stock $4480000

Excess over par = $1152000

Paid in capital = $5632000

Sale of treasury = $224,000

Total paid in capital = $5856000

Retained earnings = $2,554,000

Total = $8,410,000

Less treasury stock = 125,000

Total stockholders equity = $8,410,000 - $125000

= $8285000

Therefore, the total stockholders equity based on the information given will be $8285000.

Learn more about equity on:

brainly.com/question/16337048

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3 0

2 years ago