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Stels [109]
3 years ago
8

Which of the following lines is perpendicular to the x-axis and contains the point (-11.4, 12.8)

Mathematics
1 answer:
sergejj [24]3 years ago
7 0

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Step-by-step explanation:

Let us revise the equations of the vertical lines and horizontal lines

  • The vertical line is a line parallel to y-axis
  • The x-coordinates of all points lie on the line are equal
  • The equation of the vertical line basses through point (a , b) is x = a
  • The horizontal line is a line parallel to x-axis
  • The y-coordinates of all points lie on the line are equal
  • The equation of the horizontal line passes through point (a , b) is y = b
  • The vertical line and the horizontal line are perpendicular to each other when intersect each other

∵ The line is perpendicular to the x-axis

∴ The line is a vertical line

∴ The equation of the line is x = a, where a is the x-coordinate

   of any point lies on the line

∵ The line contains point (-11.4 , 12.8)

∵ The x-coordinate of the point is -11.4

∴ a = -11.4

∴ The equation of the line is x = -11.4

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Learn more:

You can learn more about the linear equation in brainly.com/question/13168205

#LearnwithBrainly

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4 0
3 years ago
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Step-by-step explanation:

Subtract 5.1 from both sides.

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Simplify 18- 5.1 to 12.9

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Divide both sides by -2

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3 years ago
contestants in a dance marathon rest for the same amount of time every hour. a couple rests for 27 minutes in 6 hours. how long
julsineya [31]
In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
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So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
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In 8 hours the couple will rest for = (8 * 4.5) minutes
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son4ous [18]

Answer:

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Step-by-step explanation:

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