slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle
Answer:
0.04 or 4%
Step-by-step explanation:
point estimate of proportion:
(0.6+0.68)/2
1.28/2
0.64
Margin of error:
0.68 - 0.64 = 0.04
0.04×100 = 4%
Answer: D - 4 1/2 FT.
Step-by-step explanation:
36 (length of rope) divided by 8 (sections) equals 4.5
Step-by-step explanation:
We will prove by contradiction. Assume that
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that
. Then, for some integer
,

Therefore

Here we will use the formula for the sum of odd powers, which states that, for
and an odd positive number
,

Applying this formula in 1) we obtain that
.
Then, as
we have that
is not a prime number, which is a contradiction.
In conclusion, if
is an odd prime, then n must be a power of 2.
Answer:
There is no graph attached but it would look like this