The awnser has to be 26??
Step-by-step explanation:
We can construct a unique equilateral triangle if we know <u>it's one</u><u> </u><u>side</u><u>.</u>
<u>if</u><u> </u><u>this</u><u> </u><u>helps</u><u> </u><u>you</u><u> </u><u>then</u><u> </u><u>please</u><u> </u><u>make</u><u> </u><u>me</u><u> </u><u>brainlist</u>
my own answer
Answer:
-13t - 5z
Step-by-step explanation:
-6t + 2z - 7z - 7t
= -13t - 5z
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.