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Archy
2 months ago
12

Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

Mathematics
2 answers:
zzz [12.3K]2 months ago
8 0

Answer:

The shape is first reflected over the x-axis, then translated left by 6 units and down by 2 units.

Explanation:

Reflecting across the x-axis maps ΔABC to ΔA'B'C'; subsequently, shifting the figure 6 units left and 2 units down moves it to ΔA"B"C".

babunello [11.8K]2 months ago
4 0

Answer:

The transformation is a reflection over the x-axis followed by a translation 6 units left and 2 units down.

Step-by-step explanation:

To determine the order of transformations from ΔABC to ΔA"B"C", note that the figure first changes to ΔA'B'C', and then to ΔA''B''C''.

The transition from ΔABC to ΔA'B'C' involves a reflection over the x-axis, as ΔA'B'C' appears as a mirror image flipped vertically.

Next, moving from ΔA'B'C' to ΔA''B''C'' entails shifting the figure left by 6 units and downward by 2 units. This matches a translation by -6 in the x direction and -2 in the y direction.

Thus, the accurate description is:

Reflection across the x-axis followed by a translation of -6 units in x and -2 units in y.

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A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a
AnnZ [12381]

Response: The following comparison is made.

Detailed explanation:

At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.

The slope can be calculated as vertical height divided by horizontal length.

m_1=  6/4 = 3/2 = 1.5

In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.

Therefore, slope, m_2=  10/6 = 5/3 = 1.67 (approximately)

As such, m_1 < m_2

Thus, the slope of the first climbing structure is less than that of the second.


5 0
1 month ago
Read 2 more answers
Jack and jill exercise in a 25.0-m-long swimming pool. jack swims nine lengths of the pool in 2 minutes and 34.5 seconds, while
lawyer [12517]
Jack swims a total distance of 9*25.0m=225.0 meters in 2 minutes and 34.5 seconds.

The time duration of 2 minutes and 34.5 seconds can be converted to seconds: 2*60sec +34.5 sec= 154.5 s


Jill completes 10*25.0m = 250 m also in 154.5 s.


\displaystyle{ Average\ Speed= \frac{Distance\ traveled}{Time \ of \ travel}\\\\



\displaystyle{ Average \ Velocity = \frac{Displacement}{time}



Therefore,
the speed of Jack calculates to: 225.0 meters / 154.5 s =(225/154.5) m/s = 1.46 m/s

the speed of Jill calculates to: 250.0 meters / 154.5 s =(250/154.5) m/s = 1.62 m/s


Assuming both Jack and Jill start from point 0 moving in the positive direction,

an even number of lengths results in a Displacement of 0, while an odd number results in a Displacement of 25 m


Thus, Jill's average Velocity is 0,

and Jack's average velocity is 25/154.5 = 0.16 m/s

Answer:

Jack's Average Speed: 1.46 m/s

Jill's Average Speed: 1.62 m/s

Jack's Average Velocity: 0

Jill's Average Velocity: 0.16 m/s

5 0
17 days ago
Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of
Svet_ta [12734]

Answer:

the expression is -64937.4.5.53.94x

Step-by-step explanation:

5 0
1 month ago
Read 2 more answers
The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits
Leona [12618]

Answer:

The mean decreases, while the median stays unchanged.

Step-by-step explanation:

A box plot is constructed from the quartiles of the data distribution, incorporating the maximum and minimum values. From this, one can determine the range, median, and interquartile range.

In this scenario, the median maintains its value at $9.5 per hour. The median is represented by the middle line in the box, which remains constant.

Conversely, the range of this data set shrinks from 7 to 3.

Moreover, the mean must decrease because values greater than $11 are no longer represented in the second box plot. The mean is a measure sensitive to such alterations.

Conclusively, the correct finding is The mean decreases, while the median remains unchanged.

8 0
1 month ago
How many times is 0.02 contained in 80
AnnZ [12381]

Respuesta: 4,000


Explicación paso a paso: para este caso estamos viendo cuántas veces encaja 0.02 en 80. 0.02 * 50 = 1, así que luego multiplicamos 50 * 80 y obtenemos nuestra respuesta de 4,000. Espero que esto sea útil


8 0
21 day ago
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