What is the best first step in solving -4x + 2/5 > 5/10

Mathematics

2 answers:

Xelga [282]3 years ago

7 0

Answer:

b on edge 2020

Step-by-step explanation:

Aleksandr [31]3 years ago

6 0

Answer:

Step-by-step explanation:

if we add (or subtract) the same amount from both sides, it does not affect the inequality and we can solve it

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if the ratio of the areas of 2 similar polygons is 32:50, what is the ration of the corresponding side lengths?

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$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\$

$\bf \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}\implies \cfrac{s}{s}=\cfrac{\sqrt{32}}{\sqrt{50}}\implies \cfrac{s}{s}=\cfrac{\sqrt{16\cdot 2}}{\sqrt{25\cdot 2}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{4^2\cdot 2}}{\sqrt{5^2\cdot 2}}\implies \cfrac{s}{s}=\cfrac{4\sqrt{2}}{5\sqrt{2}}\implies \cfrac{s}{s}=\cfrac{4}{5}$

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