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Sloan [31]
3 years ago
9

Which rule describes the composition of transformations that maps pre- image ABCD to final image A“B“C“D“?

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0

Answer:

1. Reflection across the x-axis

2. Translation 6 units to the left and 1 unit up

Step-by-step explanation:

The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).

1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:

(x,y)\rightarrow (x,-y),

then

A(3,5)\rightarrow A'(3,-5)\\ \\B(6,5)\rightarrow B'(63,-5)\\ \\C(4,1)\rightarrow C'(4,-1)\\ \\D(1,1)\rightarrow D'(1,-1)

2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:

(x,y)\rightarrow (x-6,y+1),

then

A'(3,-5)\rightarrow A''(-3,-4)\\ \\B'(6,-5)\rightarrow B''(0,-4)\\ \\C'(4,-1)\rightarrow C''(-2,0)\\ \\D'(1,-1)\rightarrow D''(-5,0)

Minchanka [31]3 years ago
3 0

Answer:

Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.

Step-by-step explanation:

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C is the answer yeah yeah
8 0
3 years ago
Factor completely<br> m^2 — Зm — 18
lilavasa [31]

Answer:

(m + 3) (m - 6)

Step-by-step explanation:

Simplify the following:

m^2 - 3 m - 18

The factors of -18 that sum to -3 are 3 and -6. So, m^2 - 3 m - 18 = (m + 3) (m - 6):

Answer: |

| (m + 3) (m - 6)

4 0
3 years ago
Please help me I am stressed it is ratio tables
Oduvanchick [21]

Answer:

1.

1/2/3/4/5/32

3/6/9/12/15/96

2.

1/2/3/4/5/12

8/16/24/32/96

3.

2/4/6/8/10/12

3/6/9/12/15/18

Step-by-step explanation:

ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck

5 0
2 years ago
If f(x) =5x-25 and g(x) = (1/5)X+5, which expression could be used to verify g(x) is the inverse of f(x)
mina [271]
Answer:
f(g(x)) = x

Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other. 
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
          = x + 25 - 25
          = x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)

Hope this helps :)
7 0
3 years ago
Read 2 more answers
What is the simplified form of the following expression?
geniusboy [140]

Answer:

242

Step-by-step explanation:

Simplify the following:

11 ((9^2 - 5^2)/2^2 + 8)

Hint: | Evaluate 2^2.

2^2 = 4:

11 ((9^2 - 5^2)/4 + 8)

Hint: | Evaluate 5^2.

5^2 = 25:

11 ((9^2 - 25)/4 + 8)

Hint: | Evaluate 9^2.

9^2 = 81:

11 ((81 - 25)/4 + 8)

Hint: | Subtract 25 from 81.

| 7 | 11

| 8 | 1

- | 2 | 5

| 5 | 6:

11 (56/4 + 8)

Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

11 (14 + 8)

Hint: | Evaluate 14 + 8 using long addition.

| 1 |  

| 1 | 4

+ | | 8

| 2 | 2:

11×22

Hint: | Multiply 11 and 22 together.

| 2 | 2

× | 1 | 1

| 2 | 2

2 | 2 | 0

2 | 4 | 2:

Answer: 242

3 0
3 years ago
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