1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ahrayia [7]
2 years ago
7

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5). What are the coordinates after the two transformations: Translati

on (x, y) --> (x - 2, y - 1) Rotation: 90 degrees counterclockwise at the origin.Immersive Reader
Mathematics
1 answer:
igor_vitrenko [27]2 years ago
6 0

Given :

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5).

To Find :

The coordinates after the two transformations:

a) Translation (x, y) --> (x - 2, y - 1) .

b)  Rotation: 90 degrees counterclockwise at the origin.

Solution :

Applying transition a) , we get :

R'(2-2,3-1) , S'(-2-2,1-1) , T'(-1-2,5-1)

R'( 0, 2) , S'( -4 , 0), T'( -3, 4)

Now , When any point ( h , k ) is rotated 90° counterclockwise about the origin, the new points are (-k , h) .

So , R''( -2, 0) , S''( 0, -4 ) , T''( -4 , -3 ) .

Therefore , the coordinates after transformations are

( -2, 0) ,( 0, -4 ) , ( -4 ,-3 ) .

Hence , this is the required solution .

You might be interested in
Select the correct answer.
mariarad [96]

Answer:

B.

f(x) and g(x) are closed under subtraction because when subtracted, the result will be a polynomial.

Step-by-step explanation:

f(x)-g(x)\\=(a_0+a_1x+a_2x^2...+a_nx^n)-(b_0+b_1x+b_2x^2...b_mx^m)

Assume m>=n WOLOG

=(a_0-b_0)+(a_1x-b_1x)+(a_2x^2-b_2x^2)+...+(a_nx^n-b_nx^n)-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m

=(a_0-b_0)+(a_1-b_1)x+(a_2-b_2)x^2+...+(a_n-b_n)x^n-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m

Are also a polynomial in general, but maybe in a different degree

Closure under subtraction means, for all polynomials, under the operation of subtraction, it also belongs to polynomials

6 0
2 years ago
The table shows the price for different numbers of icecream treats:
Natasha2012 [34]
The answer is a, yes
4 0
2 years ago
The circumference of a circle is 28 x inches. What is the length of the radius of this circle?
meriva
Answer: 14



Explanation: The radius is half of the value of the circumference.
4 0
3 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
velikii [3]
This is a question that needs a bit of common sense to get to the actual answer that is desired. Firstly there is one information given .The other information has to be found from common sense. ! single handshake requires 2 people. Now we can easily determine the number of people doing 66 handshakes.
Then
The number of people required for 1 hand shake = 2
Then
The number of people required to do 66 handshakes = ( 2 * 66) people
                                                                                     = 132 people
Then it can be said that there were 132 people in the party. I hope the process of doing this problem is clear to you.
4 0
3 years ago
Read 2 more answers
I’ll mark brainlest! pls help! :/
alexandr1967 [171]

Answer:

9\sqrt{2}

Step-by-step explanation:

d = \sqrt{(5-(-4)^2+(5-(-4)^2 \\

d = \sqrt{(9)^2+(9)^2

d = 9\sqrt{2}

6 0
2 years ago
Read 2 more answers
Other questions:
  • A person who is 5.8 feet tall is standing in a pool. The top of the person's head is 1.6 feet above the surface of the water. Ho
    13·1 answer
  • What’s the answer to 3/4 +5/8
    7·1 answer
  • It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington.How far is it from Eaton to Wellington, if y
    9·2 answers
  • 4 - 3x <br> ----------- = 5<br> 2
    5·2 answers
  • Find the value<br> 100cm-10mm
    7·2 answers
  • Peter can run 10 kilometers in 2 hours at a steady rate how long will it take him to run 30 kilometers
    7·2 answers
  • if mr. Wells goes out to dinner and his bill comes to $25.67 and the tax rate is 3.5% how much tax will be added bill​
    8·2 answers
  • What is the right answer​
    8·1 answer
  • Ms. Warren has cups of lemonade mix in her classroom. She uses 1
    7·1 answer
  • Write the equation of the line passing through the points (15,3) and (-3, -3).​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!