Mathematics: 5.)which of the following is the best example of pair of lines that are parallel? A. con consecutive sides of a windowB. intersection intersection of roadwaysC. really really railway lines crossingD. two two opposite edges of a door

5.)which of the following is the best example of pair

Ответ:

QueenNerdy889

03.04.2021

Step-by-step explanation:

D because it is the only choice that obtains things that do not intersect or cross each other at some point. The doors would never cross, unlike the windows or roadways or railways.

So option D would be the best answer.

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Ответ:

gora2005

19.02.2022

Mathematics

y = 3x - 5

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\y=mx+b\\m-slope\\b-y\ intercept$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

$\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\=========================$

$\text{From the graph we have two points (-3, 2) and (0, 1).}\\\text{Calculate the slope of the given line:}\\\\m=\dfrac{1-2}{0-(-3)}=\dfrac{-1}{3}=-\dfrac{1}{3}.\\\\\text{Therefore the slope of the perpendicular line is:}\\\\m=-\dfrac{1}{-\frac{1}{3}}=3\\\\\text{Put it and the coordinates of the point (3, 4) to the equation of a line:}\\\\4=3(3)+b\\4=9+b\qquad\text{subtract 9 from both sides}\\-5=b\to b=-5\\\\\text{Finally:}\\\\y=3x-5$

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5.)which of the following is the best example of pair of lines that are parallel? A. con consecutive sides of a window
B. intersection intersection of roadways
C. really really railway lines crossing
D. two two opposite edges of a door

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5.)which of the following is the best example of pair of lines that are parallel? A. con consecutive sides of a windowB. intersection intersection of roadwaysC. really really railway lines crossingD. two two opposite edges of a door​

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5.)which of the following is the best example of pair of lines that are parallel? A. con consecutive sides of a window
B. intersection intersection of roadways
C. really really railway lines crossing
D. two two opposite edges of a door