Which sequence of transformations produces R'ST' from RST?

-5

-4

-3

-2

-

1

2

3

4

5

X

a 90° clockwise rotation about the origin and then a translation 2 units left

a 90º counterclockwise rotation about the origin and then a translation 2 units right

a translation 2 units left and then a reflection over the y-axis

a translation 2 units right and then a reflection over the x-axis

Answers

Answer 1

Answer:

-3

Step-by-step explanation:

got it right on edg

Answer 2

The sequence of transformations that produces R'ST' from RST is reflection over the x axis and translation 2 units right.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation. Rotation, translation and reflection produce congruent images.

Triangle RST has vertices at R(0, 0), S(-2, 3) and T(-3, 1).

Triangle RST is reflected over the x axis to give R*(0, 0), S*(-2, -3) and T*(-3, -1). It is then translated 2 units right to get R'(2, 0), S'(0, -3) and T*(-1, -1).

The sequence of transformations that produces R'ST' from RST is reflection over the x axis and translation 2 units right.

Find out more on transformation at: https://brainly.com/question/1620969

Which Sequence Of Transformations Produces R'ST' From RST?-5-4-3-2-12345Xa 90 Clockwise Rotation About

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Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

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[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

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Answers

Simplifying
9(3c + -1) = 27(3c + -1)

Reorder the terms:
9(-1 + 3c) = 27(3c + -1)
(-1 * 9 + 3c * 9) = 27(3c + -1)
(-9 + 27c) = 27(3c + -1)

Reorder the terms:
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-9 + 27c = (-1 * 27 + 3c * 27)
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Solving
-9 + 27c = -27 + 81c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-81c' to each side of the equation.
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Combine like terms: 27c + -81c = -54c
-9 + -54c = -27 + 81c + -81c

Combine like terms: 81c + -81c = 0
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Add '9' to each side of the equation.
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Combine like terms: -9 + 9 = 0
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-54c = -27 + 9

Combine like terms: -27 + 9 = -18
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Divide each side by '-54'.
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Simplifying
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First use the distributive property by multiplying the 3 with each term inside the parentheses:

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Now combine like terms:

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Combine for final answer:

-5 + 4c which can also be written as 4c-5

Answer:

first let's multiply 3 by the bracket

-8+3*c+3*1+c=-8+3c+3+c

then add the numbers that have the same variables -8+3+3c+c

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you can also write it like this

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