All of the following expressions are equivalent except _____.
1 answer:
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<h3>Therefore they are perpendicular.</h3>
Step-by-step explanation:
A equation of line is
y =mx +c
Here the slope of the line is m.
Given equations are
x - 2y = 18
⇔-2y = -x +18
............(1)
and 2x + y = 6
⇔y = -2x +6 ............(2)
Therefore the slope of equation (1) is=
Therefore the slope of equation (2) is= -2
If two lines are perpendicular, when we multiply their slope we get -1.
therefore,
=
. (-2) = -1
Therefore they are perpendicular.
It takes 1.5 hours for 4 workers to paint the same room
<em><u>Solution:</u></em>
Given that 3 workers can paint a room in 2 hours
To find: Time taken for 4 workers to paint the same room
Assume the time needed to paint the room is inversely proportional to the number of worker
Where, "k" is the constant of proportionality
<em><u>3 workers can paint a room in 2 hours</u></em>
Substitute number of workers = 3 and time = 2 hours
Therefore,
To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression
Thus it takes 1.5 hours for 4 workers to paint the same room