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weeeeeb [17]
3 years ago
6

elliot is moving a table through a doorway. The table is 2 5/8 ft wide and the doorway is 2 3/4 ft wide.​

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

Elliot is able to move the table through, since 2 3/4 is more than 2 5/8.

Step-by-step explanation:

2 3/4 - 2 5/8 = 0.125

0.125 is a positive number.

So, Elliot is able to move the table through the doorway.

<h2><u><em>Please mark as Brainliest!!!</em></u></h2>
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How can you find the equation of a line that is parallel/perpendicular to a given line
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In the Slope-Intercept Form, m is the slope and b is the y-intercept.

<u>Finding The Equation of a Line Parallel to the Given Line:</u> Let the given line be line a and the parallel line be line b.

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Example: Line a --> y = 5x + 2. The slope is 5.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of a point located on line b.

Example: The slope is 5 and the point is (2, 3), use the Slope-Intercept Formula, y=mx+b ---> 3 = 5(2) + b. Then you solve for b.

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The y-intercept of line b is -7

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is 5 and the y-intercept is -7. The equation of line b is y = 5x - 7.


<u>Finding The Equation of a Line Perpendicular to The Given Line:</u> Let the given line be line a and the perpendicular line be line b.

1) Find the opposite reciprocal of the slope of line a.

Example: Line a --> y=5x+2. The slope is 5, to find the opposite reciprocal of the slope you use n --> -\frac{1}{n}. In this case, it would be -\frac{1}{5}. The opposite reciprocal of the slope of line a is -\frac{1}{5}, which would be the slope of line b.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of the point where line a and line b both intersect.

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7=-\frac{1}{5}(1) + b

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The y-intercept of line b is 7\frac{1}{5}.

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Example: The slope of line b is -\frac{1}{5} and the y-intercept is 7\frac{1}{5}. The equation of line b is y=-\frac{1}{5}x+7\frac{1}{5}.

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