So 5^2 -4^2 is 25-16 which is 9
6^2/9 is 36/9 which is 4 +9 is 13
13(13) is 169
Answer:
c)The proof writer mentally assumed the conclusion. He wrote "suppose n is an arbitrary integer", but was really thinking "suppose n is an arbitrary integer, and suppose that for this n, there exists an integer k that satisfies n < k < n+2." Under those assumptions, it follows indeed that k must be n + 1, which justifies the word "therefore": but of course assuming the conclusion destroyed the validity of the proof.
Step-by-step explanation:
when we claim something as a hypothesis we can only conclude with therefore at the end of the proof. so assuming the conclusion nulify the proof from the beginning
Answer:
<em>The number of students in the drama club is 7 and the number in the choir is 14</em>
Step-by-step explanation:
X = Number of students in choir club
Y = Number of students in drama club
<u>First equation:</u>
x + y = 21
<u></u>
<u>Since we know that there are 7 more students in the choir club than the drama club, that means:</u>
x + 7 = y
<u>A little trick that you can do to find y is this:</u>
21 students in the choir and drama club - 7
=> 14
Meaning that y is 14
<u>So lets go back into our second equation:</u>
x + 7 = 14
7 + 7 =14
x=7
<u>Plug both variables in:</u>
7 + 14 = 21
So that means that there are 7 students in the drama club and 14 students in the choir club.