What are the advantages to using exponential notation?

1 answer:

3 0

The major advantage of exponential notation is that it simplifies a number into a more readable form, so we don't have to count all the zeros every time we look at it / calculate it. It helps us to identify big numbers as small decimals which we are more familiar with.

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The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a re

svetoff [14.1K]

Answer:

12 inches

Step-by-step explanation:

5 + 5 = 10

34 - 10 = 24

24 ÷ 2 = 12

Therefore, the answer is 12 inches.

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3 years ago

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gregori [183]

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Step-by-step explanation:

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The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$