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3 years ago

Please take a look and help if you can!

Mathematics

1 answer:

alukav5142 [94]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The area of a rectangle = length × width

To find the width, divide the area by the length

width = $\frac{area}{length}$ = $\frac{3x^2+9x}{3x}$

To simplify divide each term on the numerator by 3x

= $\frac{3x^2}{3x}$ + $\frac{9x}{3x}$ = x + 3 ← width

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

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So, the slope is:

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Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

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Answer:

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slope = difference in y / difference in x

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