Answer:
Step-by-step explanation:
Hello, please consider the following.

So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so
is divisible by 3
and we check what happens for k+1

is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that
is divisible by 3 for all positive integers n.
Thanks
Answer:
I do believe that the answer is 0 solutions.
Step-by-step explanation:
x+10 =x+5
Subtract 5 from both sides, you get:
x+5=x
Subtract x from both sides, and you get:
5=0 which is NOT true. Also I maybe wrong, pls don't be mad at me.
Answer:
Yes as long as you can measure in inches or centimeters.
Step-by-step explanation:
Answer:
Slope is -8
Step-by-step explanation:
First and foremost, welcome to Brainly!
I'll begin with the basics of slope, just to help you get the gist of this crucial concept -
Slope can be rewritten as rise/run, although written formally as :

when we are given two coordinates (x,y) on the line.
One important thing to note is that slope belongs to a general equation,
y = mx+b
where b represents the y intercept and m is slope.
We're given two coordinates in your question: (6,9) and (7,1):

m = -8 is the final answer.
I hope this helps! By the way, slope is a concept that will follow you to calculus and physics, so I urge you to practice!