Answer:
The tree grew 15/64 meters per year.
Step-by-step explanation:
Given
- Length of a tree = 3/4 meters
- Total time taken by the tree to grow 3/4 taller = 3 1/5 or 16/5 years
To determine
Per year growth of the tree in meters
Per year growth of the tree in meters can be determined by dividing the total length of a tree i.e. 3/4 meters by the total time taken by the tree to get 3/4 taller.
Per year growth of tree = Total Length / Total time to grow
= 3/4 ÷ 16/5
= 3/4 × 5/16
= [3×5] / [4×16]
= 15/64 meters
Therefore, the tree grew 15/64 meters per year.
Answer: -1
Step-by-step explanation:
1-(-1^2)+(-1^3) = 1-1+(-1)= -1
<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.
Where is the graph? do you have a pic or website?