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
klio [65]
1 year ago
9

What is the location of the image of P(−8, 1) after a counterclockwise rotation of 90° about (−2, 6) ?

Mathematics
1 answer:
storchak [24]1 year ago
5 0

Answer:

(3, 0)

Step-by-step explanation:

Given:

  • Image:  P = (-8, 1)
  • Center of rotation:  (-2, 6)

<u>Rotation rule</u> for -90°:  (x, y) → (y, -x)

As the <u>center of rotation</u> is not the <u>origin</u>, we cannot simply apply the above rule.

To <u>rotate</u> an image around a <u>point other than the origin</u>:

1.  Subtract each point of the image from the point of rotation:

⇒ Point of rotation - point of image

⇒ (-2, 6) - P = (-2, 6) - (-8, 1)

                    = (6, 5)

2. Rotate this about the origin by applying the rotation rule:

⇒ (x, y) → (y, -x)

⇒ (6, 5) → (5, -6)

Add the point of rotation to each rotated point of the image:

⇒ (5, -6) + (-2, 6) = (3, 0)

Therefore, the location of the image of P (-8, 1) after a counterclockwise rotation of 90° about (-2, 6) is (3, 0).

You might be interested in
In a sport is added time played at the end of the match
gtnhenbr [62]

Answer:

depending on what is happening then ye

Step-by-step explanation:

5 0
2 years ago
I really need help on this help me please
Eduardwww [97]

Answer:

by migration

Step-by-step explanation:

people believed in things then moved and showed others

8 0
2 years ago
Read 2 more answers
B(1)= 160, b(n) = b(n-1) * 0.5 for n (g/e) 2 determine the first 4 items in a sequence given this recursive formula.
Paul [167]

Answer:

160

80

40

20

Step-by-step explanation:

You start with the first term that is given which would be

b(1)=<u><em>160</em></u>

That would be our first term, then we multiply by 0.5 which would be 1/2

which gives us 80 as it is a division

You take the next term that we have found (80) and then we do the same thing, multiply by 0.5 (1/2)

7 0
2 years ago
What should i get for my birthday ? answer quickly plz ( its on june 3rd ) ( i need help)
aev [14]

Answer:

thats so cool! Happy Birthday you should get some kind of dessert and pizza.

Step-by-step explanation:

Dessert: get some ice cream and something to go with it. TASTY

Pizza: pizza=happiness and happiness is what you should be on your bday!

3 0
3 years ago
Read 2 more answers
How do you do -2(t + 4)
Troyanec [42]
-2 (t+4)= -2 (t)+-2 (4)= -2t-8
7 0
3 years ago
Read 2 more answers
Other questions:
  • Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza. Mary received a gift card of $11
    7·1 answer
  • 4 - c = -1/3 Can someone pls answer this question ASAP
    13·2 answers
  • Match the input values on the left with the output values on the right. y = x/2 + 1
    12·1 answer
  • What percent is equivalent to 1/20
    12·2 answers
  • 2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three
    8·1 answer
  • Now group the terms in the expression in part c using the associative property
    12·1 answer
  • C) work out the value of 3² + 2³ <br><br>d) work out the value of 2⁴ - 3²<br>​
    6·1 answer
  • How do you write 282% as a decimal
    5·2 answers
  • Hey, if you can help I would love it.<br><br><br> Subtract 3 from the product of 8 and 5
    15·2 answers
  • HELP FAST WILL MARK BRAINLIEST!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!