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Zielflug [23.3K]
2 years ago
8

Does the order in which the two transformations in a composite transformation affect the final

Mathematics
1 answer:
kap26 [50]2 years ago
6 0

The order in which the two transformations in a composite transformation affect the final answer

<h3>How to determine the composite transformation?</h3>

To determine if order matters or not, I will use the following example and illustration.

Let the coordinate of point A be:

A = (2, 5)

Perform the following transformations:

  • Translate by (x, y + 1)
  • Dilate by a scale factor of 2

First order: Translation before dilation

The translation by (x, y + 1) would give:

A' = (2, 5 + 1)

A' = (2,6)

The dilation by a scale factor of 2 would give

A" = 2 * (2,6)

A" = (4,12)

Second order: Dilation before translation

The dilation by a scale factor of 2 would give

A' = 2 * (2,5)

A' = (4,10)

The translation by (x, y + 1) would give:

A'' = (4, 10 + 1)

A'' = (4,11)

See that the final coordinates in both orders are not the same.

Hence, the order in which the two transformations in a composite transformation affect the final answer

Read more about transformation at:

brainly.com/question/1548871

#SPJ1

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Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negati
Nat2105 [25]

The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)

<h3>What is simplification?</h3>

The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.

Now we have the original expression as;

(xy^2/x^-3y^3)

The only possible step in the expansion is to open up the bracket by the laws of indices and we get;

x^-4y^-8/x^12y^-12 (Option B)

Learn more about algebraic expression:brainly.com/question/953809

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6 0
2 years ago
HELP PLEASE!!
MArishka [77]

The surface area of the box is 252in.2 so I guess you should go with 324

5 0
3 years ago
Answer Choices for picture below:
Nat2105 [25]

Answer:

Your answer: 5.(4,-4)

Step-by-step explanation:

Please mark brainliest and have a nice night/day!!

6 0
3 years ago
What are some good tips too carry with me for my junior year in highschool, I need a lot of tips of how too stay organized, how
irga5000 [103]

Answer:

tbh stay away from the drama because that just gets u in everything and u dont  want that and just focus on yourself to stay on task worry about everyone else and i need help on staying organized too

Step-by-step explanation:

7 0
3 years ago
A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their fou
Jet001 [13]

Answer:

We accept H₀. We don´t have enough evidence to support the difference between the two means

Step-by-step explanation:

Group 1 : Comunity College

Sample:

size  :   n₁  = 54

Sample mean    x₁  = 947

Sample standard deviation     s₁ = 254

Group 2 : Local University

Sample

size  :  n₂  =  66

Sample mean :  x₂  = 1011

Sample standard deviation    s₂  =  87

Significance level  α  = 0,05      α  =  5 %      CI = 95 %

Both samples are with n> 30 so we can use z table for the test

from z-table we find  z(c)  =  1,96

The problem statement establishes to run a hypothesis test to determine if the means are statistically the same  ( or different) then we use two-tail-test

Hypothesis Test

Null Hypothesis                        H₀             x₁   -  x₂  = 0 or    x₁  = x₂

Alternative hypothesis             Hₐ             x₁  -  x₂  ≠  0  or    x₁ ≠ x₂

To calculate

z(s)  =  (  x₁   -  x₂  ) / √ s₁²/n₁  + s₂²/n₂ )

z(s)  =  947  -  1011 / √  (254)²/54   +  (87)² / 66

z(s) = -  64  /√ 1194,74  +  114,68

z(s) =  - 64  / 36,185

z(s) =  - 1,77

Comparing modules of  |z(c)|  and |z(s)|

z(s) < z(c)

Then z(s) is in the acceptance region we accept H₀ . There is not enough evidence to support differences in the means of the two groups

3 0
3 years ago
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