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
Delvig [45]
3 years ago
10

2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor \frac{2}{3} and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)

or

(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)

or

(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )

Now,  

for R = (2,1)  

the image R' = (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} ) or

(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )

⇒ R' = (\frac{5}{3} , \frac{1}{3})  

For S = (2, -2) ,

the image S'=  (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )

⇒ S' = (\frac{5}{3} , -\frac{5}{3})

and For T = (-1, -2)

The image T' =  (\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )

⇒ T' = (\frac{-1}{3} , \frac{-5}{3})

Now, label the image of RST on the graph as shown below in the attachment:

You might be interested in
Solve for x:<br><br> HELPP PLEASE WILL MARK BRAINLIEST :))))
balu736 [363]

Answer: X = 20

Step-by-step explanation:

7x - 99 = 2x + 1 --Take 2x from both sides

-2x       -2x

5x - 99 = 1 -- add 99 to both

   +99  +99

5x = 100 --Divide by 5

÷5   ÷5  

x = 20

3 0
3 years ago
Read 2 more answers
Justin drives west at 20 m/s, then slows to a stop at the red light. A graph of his acceleration over time is shown below, where
Yuki888 [10]

If you get one similar to this one talking about Bill it’s the graph with positive 2 as it’s constant. Sry I couldn’t help with this question in particular.

3 0
2 years ago
Read 2 more answers
Find the area (DO NOT label answers)<br> 16 yd<br> 6 yd<br> 11 yd
-Dominant- [34]

Answer:

The area would be 48.

Step-by-step explanation:

7 0
2 years ago
What is the conjugate<br> 2/4+3i
kondor19780726 [428]
*) 2/4+3i
2+3i
I'm not sure is that right or wrong
5 0
3 years ago
What’s the domain and range of this graph?
avanturin [10]

Given:

The graph of a downward parabola.

To find:

The domain and range of the graph.

Solution:

Domain is the set of x-values or input values and range is the set of y-values or output values.

The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.

Domain = R

Domain = (-∞,∞)

The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.

From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.

Range = All real numbers less than or equal to -4.

Range =  (-∞,-4]

Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].

3 0
3 years ago
Other questions:
  • PLZ HELP
    11·1 answer
  • 2. What is 36:39 in simplest form
    5·1 answer
  • A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.
    5·1 answer
  • If you are given the lengths of two sides of a right triangle and do not know the angle measures of any angle besides the right
    15·2 answers
  • 1/3(4+18)-2 to the second power
    14·1 answer
  • There are 144 leaves on a tree outside of school. Each week the tree loses 8 leaves. How many leaves will be remaining on the tr
    15·1 answer
  • The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ &gt; 0. What is
    10·1 answer
  • I need help to find x​
    11·1 answer
  • PLEASE HELP MEEEEEEE
    9·1 answer
  • Learning Task 1: Solve for n. Write your answer in your notebook.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!