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kkurt [141]
3 years ago
8

Which of the following sequences of transformation is used to obtain figure A’B’C’D’ from ABCD?

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

Most likely (B)

Step-by-step explanation:

Points of ABCD:

A (3,1)

B (3,4)

C (5,5)

D (5,2)

The algebraic rule for reflecting across the y axis:

(x,y) ---> (-x, y)

Points of ABCD after being reflected: (shown by figure 2)

A (-3, 1)

B (-3, 4)

C (-5, 5)

D (-5, 2)

Then, the figure got translated two units to the left, resulting in figure F in the picture, and A’B’C’D’ in the question.

Points of ABCD after being translated by (x-2, y) : (shown by figure F)

A (-5, 1)

B (-5, 4)

C (-7, 5)

D (-7, 2)

This should be the coordinates of A’B’C’D’.

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The admission at the movies is $5 for children and $10 for adults. The total amount collected was
sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of  adults be y

Given : Total number of people,  x + y = 500  --------(1)

           Total amount collected, 5x + 10y = 3000  ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

                             5x + 5000 - 10x = 3000

                                -5x = 3000 - 5000

                                 -5x = -2000

                                    x = 400

Substitute x in (1) : 400 + y = 500

                                      y = 500 - 400

                                      y = 100

4 0
2 years ago
COSS SENSE-MAKING The sides of square ABCD are extended
dsp73

Answer: 9 in

Step-by-step explanation:

5 0
3 years ago
What is the simplest form of 3 square root 27 a^3b^7?
4vir4ik [10]
\sqrt[3]{27a^3b^7} = \sqrt[3]{3^3 \cdot a^3 \cdot b^6 \cdot b^} = 3ab^2(\sqrt[3]{b} )
5 0
3 years ago
Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles
PolarNik [594]

Answer:

See attachment for graph

Step-by-step explanation:

Given

1\ hr = 10\ miles

Required

The graph that shows the number of miles in x hours

We have:

1\ hr = 10\ miles

Multiply both sides by x

x * 1hr = 10miles * x

xhr=10x\ miles

So, the function is:

f(x) =10x

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2 years ago
Jan’s age is 3 years less than twice Tritt’s age. The sum of their ages is 30. Write an equation that could be used to find the
musickatia [10]

Answer:

x=2y-3

Step-by-step explanation:

x=Jan's age

y=Tritt's age

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3 years ago
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