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Leno4ka [110]
2 years ago
14

Help, please Simplify. √27x^2y^2

Mathematics
2 answers:
natali 33 [55]2 years ago
8 0

The answer is 3✓3xy. I wish you good luck!!!:)      

skelet666 [1.2K]2 years ago
5 0

Answer:

3✓3xy

✓3^2×3x^2y^2

✓3xy ✓3

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What is the area of trapezoid ABCD ? (Enter your answer as a decimal or whole number)
MrRa [10]
Check the picture below.

bear in mind that, the "bases" are the two parallel sides, and the height is the distance between them.

\bf \textit{area of this trapezoid}\\\\&#10;A=\cfrac{AB(BC+AD)}{2}\\\\&#10;-------------------------------\\\\&#10;\textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;A&({{ -1}}\quad ,&{{ 5}})\quad &#10;%  (c,d&#10;B&({{ 3}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;AB=\sqrt{[3-(-1)]^2+[2-5]^2}\implies AB=\sqrt{(3+1)^2+(2-5)^2}&#10;\\\\\\&#10;AB=\sqrt{16+9}\implies AB=\sqrt{25}\implies \boxed{AB=5}

\bf -------------------------------\\\\&#10;\textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;B&({{ 3}}\quad ,&{{ 2}})\quad &#10;%  (c,d&#10;C&({{ 0}}\quad ,&{{ -2}})&#10;\end{array}&#10;\\\\\\&#10;BC=\sqrt{(0-3)^2+(-2-2)^2}\implies BC=\sqrt{9+16}&#10;\\\\\\&#10;BC=\sqrt{25}\implies \boxed{BC=5}

\bf -------------------------------\\\\&#10;\textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;A&({{ -1}}\quad ,&{{ 5}})\quad &#10;%  (c,d&#10;D&({{ -13}}\quad ,&{{ -11}})&#10;\end{array}&#10;\\\\\\&#10;AD=\sqrt{[-13-(-1)]^2+[-11-5]^2}&#10;\\\\\\&#10;AD=\sqrt{(-13+1)^2+(-16)^2}\implies AD=\sqrt{144+256}&#10;\\\\\\&#10;AD=\sqrt{400}\implies \boxed{AD=\sqrt{20}}

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\bf A=\cfrac{5(5+20)}{2}\implies A=\cfrac{125}{2}\implies A=62\frac{1}{2}

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3 years ago
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