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irina1246 [14]
4 years ago
6

Consider the line y= -5/4x+4 . What is the slope of a line parallel to this line? What is the slope of a line perpendicular to t

his line?
Mathematics
1 answer:
svet-max [94.6K]4 years ago
5 0
Parallel means it has the same slope.

Slope in thisproblem is -5/4.

This means the slope of the parallel line is also -5/4.

Perpendicular is the reciprical of the slope.

Flip the slope and make it +/-.

The slope would be 4/5.
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What is true about the solution above.
Masja [62]

ANSWER

x =  \pm \sqrt{3}

and they are actual solutions.

EXPLANATION

The given equation is:

\frac{ {x}^{2} }{2x - 6}  =  \frac{9}{6x - 18}

Cross multiply

{x}^{2} (6x - 18) = 9(2x -6 )

This implies;

{x}^{2} (6x - 18) - 9(2x - 6) = 0

3{x}^{2} (2x - 6) - 9(2x - 6) = 0

Factor

(3 {x}^{2}  - 9)(2x - 6) = 0

3 {x}^{2}  - 9 = 0 \: or \: 2x - 6= 0

3 {x}^{2}   = 9 \: or \: 2x  = 6

{x}^{2}   = 3\: or \: x  = 3

{x}  =  \pm \sqrt{3} \: or \: x  = 3

The domain of the given equation is

x \ne3

Therefore the actual solutions are

x =  \pm \sqrt{3}

NB: x=3 is not in the domain of the given equation. It cannot be an extraneous solution.

7 0
3 years ago
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Answer:

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6 0
3 years ago
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5 0
4 years ago
Read 2 more answers
A regular hexagon is formed by six equilateral triangles this makes it somewhat easy to find the area of the hexagon using the p
frozen [14]
1/2 of the side length p= 1/2 x 4 =2
centre angle=360/6=60 degrees

The APOTHEM bisects or divides the centre angle into two equal angles
1/2 of the centre angle=60/2=30 degrees
tan 30 degrees = 2/APOTHEM
APOTHEM=2/tan 30= 3.46 cm

The APOTHEM is the perpendicular height of the equilateral triangle given in the diagram.
Area of the equilateral triangle
=1/2 x 4 x 3.46
=6.93 cm^2
Area of the regular hexagon= 6 x area of the equilateral triangle= 6 x 6.93 =41.6 cm^2

Hope this helps!
4 0
3 years ago
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