A rectangular rug has side lengths of (x- 2) feet

Mathematics

1 answer:

Zolol [24]2 years ago

3 0

Hi!

Your answer is $x^2+x+6$

We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.

Dimensions:

(x - 2) x (x + 3)

Area of a rectangle:

Length x Width = Area

Plug dimensions into the formula:

$(x - 2)(x +3)$

Use the Distributive Property and FOIL method to solve (if you are not familiar with the FOIL method, see the image attached below):

$x^2+3x-2x-6$

Combine like terms:

$x^2+x-6$

Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.

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Use the interactive to make a vertical line with the equation of x = 3. The line x = 3 has slope.

Sliva [168]

Answer:

Slope of equation x = 3 is not defined.

Step-by-step explanation:

The graph for equation $x = 3$ is attached.

As clear from the graph, x=3, is a straight line parallel to y-axis.

Slope:

Since the given equation of line is parallel to the y-axis and parallel lines have same slope.
Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching

Thus, the given equation will have the same slope as the y-axis.

The slope of y-axis is not defined.

Hence, the slope of this line is not defined.