A track coach made a two way table to show his runners gender and running category. Male: Sprints- 16 Middle distance- 11 Long d
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Sum/difference:
Let
This means that
Now, assume that is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that
was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
<span>Number
line is a way of expressing an integer into a line.
We have the given numbers:
Let x = -5
and Let y = 3
Now let’s create line with 0 in the center. Pls. see the attached image for the number line presentation.
The answer is -2</span><span>
</span>
We have the given numbers:
Let x = -5
and Let y = 3
Now let’s create line with 0 in the center. Pls. see the attached image for the number line presentation.
The answer is -2</span><span>
</span>