Is 83 feet bigger than 786 inches or equal to ?

Answer: approximately 9.3 * 10^7  miles

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Explanation:

x = distance from sun to earth

y = distance from sun to neptune = 2.8 * 10^9 miles

"earths distance from the sun is about 30 times shorter" compared to neptune's distance, so,

y = 30x

x = y/30

x = (2.8 * 10^9)/30

x = (2.8 * 10^9)/(3.0 * 10^1)

x = (2.8/3.0) * (10^9/10^1)

x = 0.933333333333333 * 10^(9-1)  ... which is approximate

x = 0.933333333333333 * 10^8

x = 0.93 * 10^8 .... see note1 below

x = (9.3 * 10^(-1)) * 10^8 ... see note 2 below

x = 9.3 * (10^(-1)*10^8)

x = 9.3 * 10^(-1+8)

x = 9.3 * 10^7

Notes:

• note1: For this step, I rounded to 2 significant figures as the given distance 2.8 * 10^9 is in two sig figs.

• note2: we have 0.93 = 9.3 * 10^(-1) to help convert to scientific notation. The coefficient must be between 1.0 and 9.9
• note3: 9.3 * 10^7 = 93,000,000 = 93 million

• note4: I'm writing the answer in scientific notation to keep it consistent with the scientific notation 2.8 * 10^9

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.

Learn more about the vertical asymptote here:

brainly.com/question/23535769

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