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suter
3 months ago
13

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that

a dilation will produce similar figures? Explain.
Mathematics
2 answers:
Leona [12.6K]3 months ago
8 0
Dilations yield similar figures because they maintain congruence of corresponding angles in both the image and the pre-image. The lengths of corresponding sides will remain proportional according to the scale factor, preserving the shape while altering the size.
Svet_ta [12.7K]3 months ago
8 0
A translation involves a transformation that shifts every point of a figure uniformly in a specific direction and distance. The connection lines between the preimage points and their corresponding image points will be equivalent. However, dilations are a type of transformation that do not maintain isometry.
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Suppose that the last four months of sales were 8, 10, 15, and 9 units, respectively. Suppose further that the last four forecas
Leona [12618]

Response:

MAD value comes out to be 3.

Detailed Breakdown:

The given sales forecasts for the last four months are 5, 6, 11, and 12 units.

To calculate the Mean Absolute Deviation (MAD) for these forecasts:

The average of the forecasts across four months is \frac{5 + 6 + 11 + 12}{4} = 8.5.

Thus, the total of absolute differences between the forecast values and the average is = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.

Hence, the MAD value will be = \frac{12}{4} = 3 (Final Answer)

4 0
3 months ago
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. Which graph represents g(x)?
Leona [12618]
<span>The graph will shift 5 units to the right and 1 unit upwards, forming a parabola that opens up with its vertex positioned at (5, 1).

Explanation:
The subtraction of 5 from x prior to squaring indicates a horizontal movement of 5 units to the right.

The addition of 1 signifies a vertical shift of 1 unit up.

This transformation follows the vertex form of a parabola, y=a(x-h)^2 + k, where (h, k) represents the vertex. In this case, h is 5 and k is 1, placing the vertex at (5, 1).</span>
6 0
3 months ago
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Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.
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