When we say conjecture, in math, this is defined as a statement that appears to be true but is not yet proven. Now, the question asked for the counterexample, which means, the opposite of the given statement above. Rectangle, rhombus and square are considered parallelograms. Therefore, the figure that can serve as a counterexample to the conjecture given is the TRAPEZOID. The answer would be option D.
Answer:
Ty = √k * Tx
The orbital period of Y has to be be multiplied by √k . or . k∧1/2
Step-by-step explanation:
The general equation:
T² = A³
is for the case of planet X
Tₓ² = Aₓ³
In the case of planet Y
Ty² = k * Aₓ³ . and Aₓ³ = Tₓ²
By substitution:
Ty² = k *Tₓ²
Ty = √k * Tx