Find five and two-eighths plus three and six/eighths.Write in words in simplest form.

The equation of the vertical asymptote for the graph of y = 1/x - 2 is x = 2.

What is a vertical asymptote?

A vertical asymptote occurs when the denominator of a rational function (a function that can be written as the ratio of two polynomials) equals zero, but the numerator does not.

The equation is given in the question, as follows:

y = 1/x−2

We have to determine the vertical asymptote for the graph

In this case, the denominator is x, and when x = 2, the denominator equals zero.

However, since the numerator does not equal zero at x = 2, the graph will approach, but never touch the x-axis at that point, which creates a vertical asymptote.

Thus, the equation of the vertical asymptote for the graph of y = 1/x - 2 is x = 2.

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Final answer:

The formula for the circumference of a circle can be rewritten in terms of its diameter by replacing the '2r' with 'd', given that the diameter is twice the radius. This yields the new formula: C = πd.

Explanation:

The original formula for the circumference of a circle is C = 2πr, where 'C' represents the circumference, 'π' is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.

• To rewrite this formula in terms of the diameter, we need to know the fundamental relationship between the radius and the diameter of a circle. In every circle, the diameter 'd' is simply twice the radius: d = 2r.
• Substituting this into the original formula, we replace the '2r' in 'C = 2πr' with 'd'. This gives us the new formula: C = πd.

So, the formula for the circumference of a circle in terms of its diameter is C = πd.

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