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Ainat [17]
3 years ago
7

Describe the transformation from triangle DEF to triangle D′E′F′ in the figure. Question 17 options:

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

  C)  Reflection about the origin

Step-by-step explanation:

DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.

The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)

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Answer: The (magnitude of the) rate of change increases over time. The object drops 16 feet in the first second, but 80 feet in the last second.


Explanation:


1) I will start by showing the table in an easy way to read and understand:


Time (seconds)   Height (feet)

0                           144

1                            128

2                           80

3                             0


2) Rate of change


  • An initial clarification: the rate of change decreases since it is becoming more negative every second, but, in the analysis, the reasonable is to deal with the magnitude of this rate. The results shown below that the rate as a negative value, but the comparison is set about the magnitude of the change.

  • The rate of change is calculated for every pair of consecutive points using this equation:

          rate of change = [change in height] / [time elapsed]


  • Calculations:

a) rate₁: [128 - 144] feet / [ 1 - 0] sec = - 16 feet / sec ⇒ the object drops 16 feet in the first second.


b) rate₂ = [80 - 128] feet / [2 - 1] sec = - 48 feet/sec ⇒ the object drops 48 feet in the next second


c) rate₃ = [0 - 80] feet / [3 - 2] sec = - 80 feet/sec ⇒ the object drops 80 feet in the last second.


The rate of change  is more negative every second: it increases in magnitude over time. The object drops 16 feet in the first second, but 80 feet in the last second.

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3/4 of the babies born on Tuesday were boys~
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In parallelogram DEFG if m< GDE=50° find m
spin [16.1K]

Answer:

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Step-by-step explanation:

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