Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) = 
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.
Answer:
x=-9
Step-by-step explanation:
5x+1=7x+19
1 = 7x-5x +19
1-19 = 2x
-18/2 = x
x = -9
Hope this helps!
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To calculate h evaluate inside the square root before taking the square root
h = √(7² - 3.5²) = √(49 - 12.25) = √36.75 = 6.06 ( to 2 dec. places)
All of the x values are the same so it is not moving left or right.
The y values are changing by being 2 less than the original.
If you subtract 2 from each y value you get the new set of ordered pairs.
It is moving 2 units down
Letter A
