If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
Answer:
The slope is 3
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (11 -2)/(6-3)
= 9/3
= 3
A.Fractions and decimals are not integers<span>. All whole </span>numbers<span> are</span>integers<span> (and all natural </span>numbers<span> are </span>integers<span>), but not all </span>integers<span>are whole </span>numbers<span> or natural </span>numbers<span>. For example, -5 is an </span>integer<span>but not a whole </span>number<span> or a natural </span>number<span>.
B.</span><span>A </span>number<span> is </span>rational<span> if it can be represented as p q with p , q ∈ Z and q ≠ </span>0<span> . Any </span>number<span> which doesn't fulfill the above conditions is irrational. It can be represented as a ratio of two integers as well as ratio of itself and an irrational </span>number<span> such that </span>zero<span> is not dividend in any case
</span>C.<span>In mathematics, an </span>irrational number<span> is any </span>real number<span> that cannot be expressed as a ratio of integers. </span>Irrational numbers<span> cannot be represented as terminating or repeating decimals.
</span>D.<span>The correct answer is </span>rational<span> and </span>real numbers<span>, because all </span>rational numbers<span> are also </span>real<span>. Correct. The </span>number<span> is between integers, so it can't be an integer or a whole </span>number<span>. It's written as a ratio of two integers, so it's a </span>rational number<span> and not irrational.
</span> Witch one do u think it is??
