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shtirl [24]
3 years ago
7

F(x) = 6x^2 find the inverse

Mathematics
1 answer:
anygoal [31]3 years ago
6 0

Answer:

The inverse is ±sqrt(x/6)

Step-by-step explanation:

Let y = 6x^2

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 6y^2

Solve for y

Divide each side by 6

x/6 = 6y^2 /6

x/6 = y^2

Take the square root of each side

±sqrt(x/6) = sqrt(y^2)

±sqrt(x/6) =y

The inverse is ±sqrt(x/6)

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Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
denpristay [2]

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

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Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

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2 years ago
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Answer:

Perimeter = 17a

Area = 30 square meters

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I honestly don't know if this is correct, I hope it is

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