Show that the value of the expression: ( 10+5 3 + 10−5 3 )2 is a rational number.
1 answer:
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Hi there!
First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.
Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **
Finally add 4 to our found fraction.
Therefore, the answer is 4 1/3.
First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.
Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **
Finally add 4 to our found fraction.
Therefore, the answer is 4 1/3.
Answer:
- vertical asymptote: x = 7
- slant asymptote: y = x+9
Step-by-step explanation:
The vertical asymptotes are found where a denominator factor is zero (and there is no corresponding numerator factor to cancel it). Here, that is at x = 7.
There is no horizontal asymptote because the numerator is of higher degree than the denominator.
When you divide the numerator by the denominator, you get ...
y = (x +9) +60/(x -7)
Then when x gets large, the behavior is governed by the terms not having a denominator: y = x +9. This is the equation of the slant asymptote.
