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
spin [16.1K]
3 years ago
13

Point P(3, 9) in the coordinate plane is rotated 90 degrees counterclockwise about the origin. What are the coordinates of its i

mage?
Please show all work and not just the answers.
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

  P'(-9, 3)

Step-by-step explanation:

The transformation for rotation counterclockwise about the origin by some angle α will be ...

  (x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

When the angle is α = 90°, this reduces to ...

  (x, y) ⇒ (-y, x)

You have (x, y) = (3, 9), so the image point is P'(-9, 3).

__

<em>Additional comment</em>

The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:

  • 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
  • 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
  • 180°: (x, y) ⇒ (-x, -y)
You might be interested in
The dot plot shows the number of magazines sold determine the median of the date set
marta [7]
To find median you set up the number least to greasiest and then cross each one out one side at a time until you get to the middle
8 0
4 years ago
Please explain with step by step instructions <br> Thanks in advance
Nimfa-mama [501]

Answer:

36.4%

Step-by-step explanation:

You know the most about Kim and Molly, so you should start with them.

Let kim's share = x

Therefore Molly's share = x + 105

Ratio

Kim is to Molly as 2 is 5

2/5 = x / (x + 105)              

Solution

Cross multiply

2(x + 105) = 5x             Remove the brackets.

2x + 2*105 = 5x           Consolidate.

2x + 210 = 5x                Subtract 2x from both sides

2x - 2x + 210 = 5x - 2x Reduce like terms.

210 = 3x                         Divide by 3

210/3 = x

70 = x                        

Laura's Share.

Kim = x = 70

Molly = x + 105 = 70 + 105 = 175

Kim + Molly + Laura = 385

70 + 175 + Laura = 385      Combine the  left side

245 + Laura = 385             Subtract 245 from both sides

Laura = 385 - 245              Combine the right. (Subtract)

Laura = 140

Laura's %

Laura's % = (140 / 385) * 100 = 36.4 to 3 places.



8 0
3 years ago
Find the surface area of the net below.
Hatshy [7]

Answer:

okay so first to find the surface area of the net below you should always start from the line that is pointing at the end of the the i n u m so you see that is between 8 1/8 and 2 so you see the line you draw a line in the middle between 8 and then when you look and then you draw another line were 19 years and then you draw another line so you can see that at the top of 19 and there at the bottom of 918 you see that you can find the Nets below because you can see me you draw your line it shows you Drawing the Line because when you draw a circle in the middle and then you draw a another little circle in the middle is shows the surface area of the net below so bye

5 0
3 years ago
Answer plss!<br> If angle 5 is 120 degrees, what is the measure of angle 6? Why?
yaroslaw [1]

Answer:the measure of angle 6 is 60 degrees.

Step-by-step explanation:

The two blue lines are straight and parallel lines. The sum of the angles on a straight line is 180 degrees. Angle 5 and angle 6 are on a straight line. Therefore

Angle 5 + angle 6 = 180

If angle 5 is 120 degrees, then

Angle 6 = 180 - 120 = 60 degrees.

7 0
4 years ago
an animals's weight on earth is 602.5% if its weight in the moon.an animals weight on the sun is 2,707% of its weight on earth.
fredd [130]

The dog weighing 20 pounds on the moon will weigh 3261.9 pound on the sun.

Explanation

Let the weight on moon be x

The weight on earth=602.5% of x

weight on sun=2707% of weight on earth=2707% of 602.5% of x

given,the dog weight on moon=20 pounds

Its weight on earth=602.5% of 20

Its weight on sun=2707% of 602.5% of 20

=(2707/100)*(602.5/100)*20\\ =3261.9 pound

4 0
4 years ago
Other questions:
  • The weight of 10 identical samples of a substance is 0.01 pound. What is the weight of 1000 samples?
    13·2 answers
  • The following situations showed a strong correlation which implies causation?
    14·1 answer
  • A countertop is 17 feet long and 2 feet wide. Part 1 out of 2 What is the area of the countertop in square meters? Use the conve
    15·1 answer
  • a cone has the height of 20 centimeters and a volume of 4,170 cubic centimeters. what is the area of the base of the cone
    9·2 answers
  • Pedro and Carmela are cleaning their kitchen. It takes Pedro 3 hours to clean the kitchen by himself, while Carmela can clean th
    8·1 answer
  • Use the following figure to answer the question. &lt;1 and &lt;8 are________ angles<br> 30 points!!!
    13·1 answer
  • The school canteen charges Rs. 15 for lunch and Rs. 5 for milk for each day. How much money do you spend in 6 day son these thin
    5·1 answer
  • #7 HELP ME IM STUCK ON THIS
    8·1 answer
  • Jaime wants to know how fast she can type, so she times herself as she types a paper. The paper has 279 words in it, and Jaime t
    5·1 answer
  • Find the equation of the line graphed below. Write the equation in the form y = mx + b and identify m and b m = b =
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!