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
hram777 [196]
3 years ago
14

Find the image of (-1,3) obtained by translating 2 units down, followed by a rotation of 270 degrees counterclockwise about the

origin
Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a <em>90°-clockwise rotation</em> is the exact same as a <em>270°-counterclockwise rotation</em>, and according to the <em>270°-counterclockwise rotation</em> [<em>90°-clockwise rotation</em>] <em>rule</em>, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

<u>Extended Rotation Rules</u>

  • 270°-clockwise rotation [90°-counterclockwise rotation] >> (<em>x, y</em>) → (<em>-y, x</em>)
  • 270°-counterclockwise rotation [90°-clockwise rotation] >> (<em>x, y</em>) → (<em>y, -x</em>)
  • 180°-rotation >> (<em>x, y</em>) → (<em>-x, -y</em>)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

I am joyous to assist you anytime.

You might be interested in
Hey! This is my first question. 35 points, it's not complicated. I'm trying to get my grade up and need to have this explained.
SVEN [57.7K]

Answer: You should try copying and pasting the question onto google. Someone may have answered the question or something similar on another website.

6 0
3 years ago
The reciprocal of 10 2/3​
Mashutka [201]
The reciprocal of 10 2/3 is 3/32
3 0
3 years ago
Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was
Flura [38]

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = x units/hr

Let the original time taken by Jonathan = y hours

Let the distance = D units

Formula for distance is given as:

Distance = Speed \times Time

Given that half the distance is covered by original speed.

\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

\dfrac{5}{4}x\ units/hr

Hence, Time taken:

\dfrac{y}{2}-\dfrac{1}{2}

Distance traveled is half of the total distance:

\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)

Dividing (1) by (2):

\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours

5 0
2 years ago
During batting practice 12 balls were pitched to each player if 9 player came to practice how many balls were pitched
svetoff [14.1K]
Hello,

If 12 balls were pitched to each of the 9 players at practice, then
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 balls were pitched total.

This is also equal to (12)(9) = 108 balls.

108 balls were pitched during practice.

Hope this helps!
5 0
3 years ago
Given f(x)=14(5−x)2 what is the value of f(11)?
dlinn [17]

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Kai is a struggling student who has received the following grades on his quizzes: 75, 80, 70, 40, 94, 76, 82, and 74. His teache
    6·1 answer
  • 2. Which statement best describes the relationship between the two given equations?
    8·2 answers
  • 72 pt= how many gallons?
    11·2 answers
  • What is the length of Segment MN?
    7·1 answer
  • A sequence is defined to be An = n^2 + 2. What is the 5th term of this<br> sequence?
    10·1 answer
  • Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater
    7·1 answer
  • Jordan has some music books. he will buy 9 new music books each year. he will have 52 music books in 5 years.
    12·1 answer
  • If F(x) = 2x +4, which of the following is the inverse of F(x)?
    10·1 answer
  • Does anyone have the answer key to these proofs? They are Mrs. E Teaches Math introductory proofs. There are 14 total. I've done
    10·1 answer
  • What is the value of the expression 2 to the third power plus 3 over 5 times 5 over 9 minus 4 plus 3.?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!