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3 years ago

Find the distance between the two points (-4,1) (4,5)

Mathematics

2 answers:

ruslelena [56]3 years ago

7 0

Use the distance formula to determine the distance between two points.

Exact Form: 4√5
Decimal Form: 8.94427190…

KatRina [158]3 years ago

4 0

The distance between the 2 points is at the point (0,3). Did I answer your question?

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Free_Kalibri [48]

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4 years ago

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If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second

Yuri [45]

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

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v}
\\\\\\
v=\cfrac{5^3\cdot 54}{3^3}$

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3 years ago