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marysya [2.9K]
3 years ago
8

Suppose that a varies inversely with b^2. If a=9 when b=2, find the value of a when b=3.

Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

a = 4

Step-by-step explanation:

We can set up an equation to model this:

a = \frac{k}{b^2}

Now, we can plug in the information given to find the value of k:

9 = \frac{k}{2^2}

9 = \frac{k}{4}

36 = k

Now, we can find the value of a when b = 3.

a = \frac{36}{3^2}

a = \frac{36}{9}

a = 4

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Step-by-step explanation:

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How do you do this question?
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4 years ago
Write and solve an inequality that represents the values of x, in feet.
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Answer:

x < 16 ft

Step-by-step explanation:

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-Chetan K

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3 years ago
Please help me figure out what x is
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8 0
3 years ago
Which of the following lines is perpendicular to the x-axis and contains the point (-11.4, 12.8)
sergejj [24]

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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