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3 years ago

Which least to greatest 125% 6/5 1.22

Mathematics

1 answer:

Sveta_85 [38]3 years ago

5 0

6/5, 1.22, 125%

Hope I helped!

Let me know if you need anything else!

<span>~ Zoe (Rank:'Genius')</span>

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Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.

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Answer:

$2\sqrt {2}$

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Given a line with an equation :

ax + by + c = 0

And the point $(x_0,y_0)$

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$\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}$

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Rearranging:

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The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

$\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}$

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$\displaystyle d=\frac {4}{\sqrt {2}}$

Rationalizing:

$\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}$

$\displaystyle d=2\sqrt {2}$

The altitude of the triangle is $\mathbf{4\sqrt {2}}$

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3 years ago

The closing prices of a common stock have been 61.5, 62, 61.25, 60.875 and 61.5 for the past week. what is the range?

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