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Alex777 [14]
3 years ago
9

Which of the following equations is an example of inverse variation between

Mathematics
2 answers:
netineya [11]3 years ago
8 0

Answer: Option A

y = \frac{9}{x}

Step-by-step explanation:

It is said that two variables x and y vary inversely if the increase of one of the variables causes the other to decrease.

This is represented by the following equation

y = \frac{k}{x}

Where k is known as variation constant

To answer this question, identify among the options given that the form has

y = \frac{k}{x}

The answer is the option A. with k = 9

Romashka [77]3 years ago
3 0

For this case we have that by definition, a direct variation is given by:

y = kx

Where:

k: It is the constant of proportionality of the variables.

On the other hand, we have that the inverse variation is given by:

y = \frac {k} {x}

Where:

k: It is the constant of proportionality of the variables.

In this way, the correct option is: y = \frac {9} {x}

ANswer:

Option A

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Need help with this question
AleksAgata [21]

First, let's find the slope of the line using the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

((x_1, y_1) and (x_2, y_2) are points on the line)


In context of this problem, we can use the formula to find the slope of the line between the two points:

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Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is (y - y_1) = m(x - x_1) where (x_1, y_1) is a point on the line)


In the context of the problem, we could use the formula to find the equation of the line:

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3 years ago
What are the solutions of x^2+6x=10
posledela

Answer:

x=-3+√19, x=-3-√19

Step-by-step explanation:

x^2+6x=10

x^2+6x-10=10-10

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a=1 b=6 c=-10 - use the quadratic formula

x=-3+√19, x=-3-√19

I hope this helps!

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3 years ago
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