Can someone do the whole thing
1 answer:
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about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.
5, 8, 13 are no dice, namely 5² + 8² ≠ 13
25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²
however, 5,12 and 13 are indeed a pythagorean triple
also is 39, 80, 89.
when looking for a pythagorean triple, recall that c² = a² + b².
so the longest leg is the sum of the square of the small ones.
so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.
Answer:
<u>39 percent</u> is increase in mileage.
Thus, the correct option is B. 39%.
Step-by-step explanation:
Given:
A runner increased her distance from 9 miles to 12.5 miles a week.
Now, to find percent increase in mileage.
Previous mileage = 9 miles.
Present mileage = 12.5 miles.
<em>Mileage increase = 12.5 - 9 = 3.5 miles.</em>
Now, to get the percent increase in mileage:
<u><em>Approximately the percent increase = 39%.</em></u>
Therefore, 39% is increase in mileage.
Thus, the correct option is B. 39%.
Given:
Expression is
To prove:
If r is any rational number, then is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
It can be written as
Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So, is rational.
Hence proved.