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The formula c=√(a^2+4b^2 ) Solve the equation for b. That means get “b” all by itself on one side of the equation. Show your work. Show steps.

Step-by-step explanation:

Given the expression

To solve the equation for b, first express Square given expression:

Now take the square root:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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step-by-step explanation: