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galben [10]
3 years ago
9

Which rule describes the composition of transformations that maps JKL to J”K”L”

Mathematics
2 answers:
Leviafan [203]3 years ago
8 0

Answer:

C) Rotate Counter clockwise 90º and Translate (x-2,y)

Step-by-step explanation:

1) Rotating counterclockwise 90º the \bigtriangleup JKL \Rightarrow J'(2,-4), K(5,-4), \:L(2,-2)

Rotating counterclockwise 90º rule is: (-y,x)

We'll twist the values:

\bigtriangleup J'K'L' \Rightarrow J(4,2) K(4,5), L(2,2)

Check the picture below.

2) Now we need to translate  ΔJ'K'L' following this rule (x-2,y)

to have ΔJ''K''L''

\bigtriangleup J''K''L'' \Rightarrow J''(0,2), K''(2,5), \:L''(2,2)

Nady [450]3 years ago
8 0

Answer: A

Step-by-step explanation:

You might be interested in
Polynomial expressions with matching​
yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0
2 years ago
Find the perimeter of this semi-circle with diameter, d = 39cm. Give your answer rounded to 1 DP.
deff fn [24]

Answer:

p=1/2*3.14+d

1/2*3.14*19.5=30.615

=30.615+39

=69.615

=69.6

Step-by-step explanation:

since it's half a circle we take the formula of acricle to be half

3 0
1 year ago
I need this answer ASAP
Nuetrik [128]

Answer:

B and D

(The ratio of cats to birds is greater than the ratio of ferrets to birds; The ratio of ferrets to cats is less than the ratio of dogs to cats)

hope this helps :)

8 0
2 years ago
a moving company charges $800 plus $16 per hour. Another moving company charges $720 plus $21 per hour. for a job of how many ho
nirvana33 [79]
800+16x=720+21x
80+16x=21x
80=5x
X=16
So 16 hours :)
3 0
3 years ago
What is the volume of the cylinder below?
Vera_Pavlovna [14]
The correct answer is A
8 0
3 years ago
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