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salantis [7]
3 years ago
9

Write in point slope form of the line that passes through the points (3,-1) and (6,-2)

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-(-1)}{6-3}\implies \cfrac{-2+1}{3}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-1)=-\cfrac{1}{3}(x-3)\implies y+1=-\cfrac{1}{3}(x-3)

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v=s³ (since cuboids have same length, they have same side length) 

62=s³
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Hope I helped :) 
4 0
3 years ago
An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle
omeli [17]

Answer:

\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}

The middle point of the base is placed at point

\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i

The length of the height is the distance between the points 5+9i and 7+3i

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So, the area of the triangle is

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

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frosja888 [35]
THE STATEMENT IS TRUE.


MULTIPLICATION<span> AND DIVISION: When </span>multiplying<span> or dividing numbers, count the NUMBER OF </span>SIGNIFICANT FIGURES<span>. The answer cannot CONTAIN MORE </span>SIGNIFICANT FIGURES<span> THAN THE NUMBER BEING MULTIPLIED OR DIVIDED with the LEAST NUMBER OF</span>SIGNIFICANT FIGURES<span>.
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:

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