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Sveta_85 [38]
3 years ago
5

The slope of the line whose equation is x = 6 is no slope 0 6

Mathematics
2 answers:
Triss [41]3 years ago
7 0
X = 6. This is a vertical line. Therefore has no slope.  
Karo-lina-s [1.5K]3 years ago
3 0

Answer:

x = 6

Step-by-step explanation:

A straight line is given by the following equation:

Y = mx + c

where y = function of the line with respect to x

           m = gradient of the line

            c = y -intercept

If the line has no slope, then m = 0

subsequently, the line becomes:

y = c

c is a constant (or number)

in this case, the equation will be a straight vertical line crossing the x = axis.

Therefore, y = c is the x- axis

in this case , the equation is x = 6

Hence the line has no slope.

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions
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Answer:

<h3>Length = 12 ft</h3>

Width = \frac{7}{2} ft

Step-by-step explanation:

Given,

Area of rectangle = 42 \:  {ft}^{2}

Width = X

Length = 2x + 5

Now,

x(2x + 5) = 42

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2 {x}^{2}  + 5x - 42 = 0

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2x(x + 6) - 7(x + 6) = 0

(2x  - 7)(x + 6) = 0

Either

2x - 7 = 0

2x = 0 + 7

2x = 7

x =  \frac{7}{2}

Or,

x + 6 = 0

x = 0 - 6

x =  - 6

Negative value can't be taken.

So, width = \frac{7}{2} ft

Again,

Finding the value of length,

Length = 2x + 5

2 \times  \frac{7}{2}  + 5

7 + 5

12

Length = 12 ft

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