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3 years ago

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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PROBLEM #1

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Answer:

500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

1. Keith has $500 in a savings account at the beginning of the summer.

Initial amount: 500

2. He wants to have at least $200 in the account by the end of summer.

Final amount ≥ 200

3. He withdraws $25 a week for his cell phone bill.

Call w the number of weeks

Withdrawls = 25w

4. Write an inequality that represents Keith's situation.

Create your model: Final amount = Initial amount - withdrawals ≥ 500

500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

500 - 200 ≥ 25w

300 ≥ 25w

300/25 ≥ w

12 ≥ w

w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

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3 years ago

Find the slope of the line that passes through (3, 6) and (8, 7)

Mnenie [13.5K]

Answer:

The slope of this line is 1/5

Step-by-step explanation:

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2 years ago

Please help with the question in the picture!

Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

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∠ A = 90°, sin C = 3 / 5

METHOD - I

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