Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)
Proof:
We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:
N + 2N > 3N
3N > 3N
3 > 3
which is False, for any value of N. This means that the original choice of N is not possible. Since the inequality is False for any value of N, there cannot be any triangle with the given side lengths, thus proving our conjecture.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table
m = = -
The line crosses the y- axis at (0, 28 ) ⇒ c = 28
y = - x + 28 ← equation of line → D
Answer:
A=28.27
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
To find out, all we need to do is plug in 9999 into the sequence.
By completing the square, we get . 1001 is not a perfect square, which means that 9999 is not in the sequence.
hope this helped! :)