Answer:
6n²√3
Step-by-step explanation:
2√3n•√9n³
The above expression can be simplified as follow:
Recall
√9 = 3
2√3n•√9n³ = 2√3n × 3√n³
Recall
m√a × n√b = mn√(a × b)
Thus,
2√3n × 3√n³ = (2×3) √(3n × n³)
2√3n × 3√n³ = 6√3n⁴
Recall:
√aᵇ = (aᵇ)¹/² = aᵇ/²
√n⁴ = n⁴/²
√n⁴ = n²
Thus,
6√3n⁴ = 6n²√3
Therefore,
2√3n•√9n³ = 6n²√3
<h3>Answer:</h3>
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis
<h3>Explanation:</h3>
The problem statement tells you the transformation is ...
... (x, y) → (x, -y)
Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a <em>reflection</em> of the other across the x-axis.
Along with translation and rotation, <em>reflection</em> is a transformation that <em>does not change any distance or angle measures</em>. (That is why these transformations are all called "rigid" transformations: the size and shape of the transformed object do not change.)
An object that has the same length and angle measures before and after transformation <em>is congruent</em> to its transformed self.
So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.
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Answer:
5-1=4 and 5+4=9
Step-by-step explanation:
