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Goryan [66]
3 years ago
8

Quadrilateral ABCD undergoes a series of transformations to become A’’B’’C’’D’’. If the first transformation is a reflection ove

r the y-axis, what is the coordinate of C’? What transformation occurs after the reflection over the y-axis that results in the final image?

Mathematics
2 answers:
omeli [17]3 years ago
7 0

Quadrilateral ABCD undergoes a series of transformations to become A’’B’’C’’D’’.

The first transformation is a reflection over the y-axis.

The coordinate of C’ would be (-6,3) in this case.

If the image is rotated counter clock wise around the point A then it will result in the final image which is presented in the attached figure.

Hope this helps ..!!

Thank you :)

ale4655 [162]3 years ago
3 0
C' (-6,3)
A 90 degree rotation counterclockwise around point A'
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Homer is giving some cookies to each of
Stells [14]

Answer:

7 cookies

Step-by-step explanation:

We have 3 brothers

First , Second, Third

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1 cookie = 1

Working backwards, we start from the third brother

If we work backwards

It means he gave everything away

We start from the youngest

He was given 1/2 of what was left and 1/2 a cookie

This means,

1/2 + 1/2 = 1

The second brother

He got half of what is left and 1/2 a cookies

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= What the youngest brother got + 1/2 + 1/2 a cookie

= 1 + 1/2 + 1/2

= 1.5 + 1/2

= 2 cookies

For the first brother

He got 1/2 of the cookies + 1/2 cookie

= 1.5 × 2 + 1/2 + 1/2 cookies

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3 0
3 years ago
The total length of pencils A, B and C is 29 cm. Pencil a is 11 cm shorter then pencil B, and pencil B is twice as long a pencil
satela [25.4K]

The length of pencil A is 5 cm

<em><u>Solution:</u></em>

Let the length of pencil A be "x"

Let the length of pencil B be "y"

Let the length of pencil C be "z"

<em><u>The total length of pencils A, B and C is 29 cm</u></em>

Therefore,

length of pencil A + length of pencil B + length of pencil C = 29

x + y + z = 29 ------------ eqn 1

<em><u>Pencil A is 11 cm shorter then pencil B</u></em>

x = y - 11 ------- eqn 2

<em><u>Pencil B is twice as long a pencil C</u></em>

y = 2z

z = \frac{y}{2} ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

y - 11 + y + \frac{y}{2} = 29\\\\2y + \frac{y}{2} = 29 + 11\\\\\frac{4y+y}{2} = 40\\\\5y = 80\\\\y = 16

<em><u>Substitute y = 16 in eqn 2</u></em>

x = 16 - 11

x = 5

Thus length of pencil A is 5 cm

5 0
3 years ago
The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular p
sweet-ann [11.9K]

Answer:

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Step-by-step explanation:

We know that the volume of a rectangular prism is the product of its base area and height

Volume_prism = area_base *  height

height =  Volume_prism /  area_base

Volume_prism  = (x^3 – 3x^2 + 5x – 3)

area_base = (x^2 – 2)

height =  Volume_prism /  area_base

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Please see attached image

3 0
3 years ago
Read 2 more answers
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mylen [45]

Answer:

60%

Step-by-step explanation:

If you look through the data, it is clear that 46, 59, 63, 68, 72, 76, 78, 85, and 89 are all less than 90. There are <em>9 elements total </em>that are less than 90.

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3 0
2 years ago
• Given the function, f(x) = x3 – 5x2 + 9x – 45, determine the number of roots and identify them.
dezoksy [38]
x3 - 5x2 + 9x - 45 = 0
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 Factoring we have:
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 x = -3i
 Answer: 
 three roots: 
 x = 5 
 x = 3i 
 x = -3i
6 0
2 years ago
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