Linear equations. write the standard form of an equation of the

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

The standard form of an equation of the line that passes through the given point having slope is $y-y_{1} =m(x-x_{1}$

Step-by-step explanation:

The standard form of an equation of the line that passes through the given point ( $(x_{1} ,y_{1} )$ and having slope m is

$y-y_{1} =m(x-x_{1}$

another form of an equation of the line that passes through the given point ( $(x_{0} ,y_{0} )$ and having slope m is

$y-0 =m(x-0)$

y=m x

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barxatty [35]

Answer:

As can be clearly seen from the attached diagram angles PBC and BAD are congruent by the Corresponding Angles Theorem AB acts as the transversal for the lines BC and AD which are parallel.

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Thus, the only option from the given list of options which matches the answer is Option A.

Thus, Option A is the correct option and thus the final answer.

Step-by-step explanation:

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A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.

iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 $m/s^2$

<u>Given the following data:</u>

Mass of bookshelf = 51.5 kilogram

Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

$Acceleration = \frac{Net\;force}{Mass}$