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BARSIC [14]
3 years ago
5

On a computer screen, Jennifer just created a triangular design of a banner with vertices at A(-4,3), B(-1,5) and C(-1,2). She c

an use the computer software to perform transformations on this design.
Which sequence of two transformations could she perform so that the transformed vertices become A'(4,-5), B'(7,-7), and C'(7,-4)?


a. translating 6 units down, followed by translating 8 units to the right

b. reflecting about the line y = -2, followed by translating 8 units to the right

c. reflecting about the line y = -1, followed by reflecting about the y-axis

d. reflecting about the line y = -1, followed by translating 8 units to the right
Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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Please help me someone
posledela
To solve this, you need to know three exponent rules:
1) Power of a product
Basically says (ab)^{2} =  a^{2}  b^{2}. This means a product raised to a power is the same as taking each factor to that power and multiplying them.

For example: (5a)^{2}  = 5^{2} a^{2}

2) Product of powers
Basically says a^{m}  a^{n} =  a^{m+n}. When two expressions with the same base (a) are multiplied, you can add their exponents while keeping the same base.

For example: a^{2}  a^{3} = a^{2+3} =  a^{5}

3) Power of a power
Basically says (a^{m})^{n} =  a^{m \times n}. When an exponent is being raised to a exponent, you can multiply the exponents.

For example: (a^{2})^{3} = a^{(2 \times 3)} =  a^{6}
----

Back to your problem:
You are asked to simplify (6x^{2} y)^{2} (y^{2})^{3}, Tackle it by simplifying both factors and then multiplying them together and simplifying again.

1) First use the power of a product rule to change (6x^{2} y)^{2} into 6^{2}  (x^{2})^{2}  y^{2}. Simplify it into 
36 x^{4}  y^{2} using the power of a power rule.

2) Simplify (y^{2})^{3} into y^{6} using the power of a power rule.

3) Multiply the simplified factors from part one and two and simplify using the product of powers rule:
(36 x^{4} y^{2})(y^{6})\\
= (36 x^{4})(y^{2} y^{6})\\
= (36 x^{4})(y^{2+6}) \\
= 36 x^{4}y^{8}

---

Answer: 36 x^{4}y^{8}
6 0
4 years ago
PLEASE HELP ME!!!!!!!!!!!! IM DESPERATE!!!!!!!!
slavikrds [6]

radius = 4

 area = pi x r^2

 area = pix 4^2 = 16pi

102/360 reduces to 17/60

17/60 x 16pi =

17/60 x 16pi/1=

17/15 x 4pi/1=

68PI/15


4 0
3 years ago
Read 2 more answers
You have m marbles. Alex has three times as many marbles as you. Which expression correctly shows how many marbles Alex has?
klasskru [66]

Answer:

3m

Step-by-step explanation:

m X 3 = 3m

5 0
4 years ago
MAFS.5.NF.2.5b
Assoli18 [71]

Answer:

Step-by-step explanation:

See attachment.

8 0
3 years ago
Help yo I’ll give brainly
pashok25 [27]

Answer:

Equation 3 is correct.

Step-by-step explanation:

It's the same equation but divided by 2.

7 0
3 years ago
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