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:
81 cm^2
Step-by-step explanation:
Side = perimeter / 4 = 36/4 = 9 cm
area = side^2 = 9^2 = 81 cm^2
(7)^2-4(5)(-6)=
49+120=169 is the answer
<em>Greetings from Brasil...</em>
In function F(X) = X², if we replace X with X + 4 we will have exactly function G(X) = (X + 4)²
So, just replace X for X + 4..... This will be responsible for translating 4 units to the left, because:
F(X) = X²
F(X + 4) = (X + 4)²
F(X + 4) ⇔ F(X + k) <em> see below</em>
We know that the translations are established as follows:
→ Horizontal
F(X + k) ⇒ k units to the left
F(X - k) ⇒ k units to the right
<em>see more:</em>
<em>brainly.com/question/17163323</em>