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
gladu [14]
3 years ago
12

A segment with endpoints X Left parenthesis negative 6 comma 2 right parenthesis and Y Left parenthesis negative 1 comma negativ

e 3 right parenthesis is rotated 90º about the origin. What are the coordinates of X Prime and Y Prime?
A. X prime Left parenthesis negative 1 comma negative 3 right parenthesis and Y prime Left parenthesis negative 6 comma 2 right parenthesis.

B. X prime Left parenthesis 2 comma 6 right parenthesis and Y prime Left parenthesis negative 3 comma 1 right parenthesis.

C. X prime Left parenthesis negative 2 comma negative 6 right parenthesis and Y prime Left parenthesis 3 comma negative 1 right parenthesis

D. X prime Left parenthesis 6 comma negative 2 right parenthesis and Y prime Left parenthesis 1 comma 3 right parenthesis

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
4 0
The Answer is B hope this helps
MatroZZZ [7]3 years ago
3 0

Answer:

The correct answer is C.

Step-by-step explanation:

This can be done using complex numbers and its relations with plane geometry. The endpoints of the segment are X(-6,2) and Y(-1,-3). These points can be seen as complex numbers, just recall the geometric interpretation of complex numbers.

So, the complex counterpart of X(-6,2) is x=-6+2i, and the complex counterpart of Y(-1,-3) = -1-3i. Moreover, a rotation about the origin has an interpretation as multiplication by a complex number of modulus 1. In this particular case, a rotation of 90 degrees is equivalent to multiply by the complex unit: i=\sqrt{-1}.

Then,

x' = (-6+2i)\times i = -2-6i which gives the point X'(-2,-6)

x' = (-1-3i)\times i = 3-1i which gives the point Y'(2,-1).

The other option is to use a software to make geometrical constructions as Geogebra. Bellow there is an image attached made with Geogebra with the solution of the exercise.

You might be interested in
You are a plumber, and you are repairing a toilet leak. The job should take 0.9 hours. About how many minutes will it
monitta

Answer:

54

Step-by-step explanation:

multiply 60 by 0.9 and you get 54..?

6 0
3 years ago
Read 2 more answers
S use f(x)=2x-5 and g(x)=4x+3
jeyben [28]

Step-by-step explanation:

can you please add details to your question

7 0
3 years ago
Read 2 more answers
What operation comes first?
lord [1]
Parentheses!! Don’t forget PEMDAS! (Parentheses, exponents, multiplication, division, addition, subtraction)
6 0
3 years ago
05.01)Allen has a photo that is 6 in by 8 in. What will the dimensions of the photo be if he scales it down by a factor of one-h
poizon [28]
Half of 6 is 3
Half of 8 is 4 
so it will be 3 in by 4 in.
8 0
3 years ago
Read 2 more answers
Someone pls help . Thank you sm !!
NemiM [27]

Answer:

  • 28 = -3k + 7

28 - 7 = -3k

21 = -3k

21/-3 = k

k = -7

  • 1/5  x - 17 = 3

x/5 = 3 + 17

x/5 = 20

x = 5*20

x = 100

  • 82 = 7/10 G + 12

82 - 12 = 7G/10

70 = 7G/10

70*10 = 7G

700 = 7G

700/7 = G

G = 100

6 0
3 years ago
Read 2 more answers
Other questions:
  • What type of function is y=7(5/4)x
    9·1 answer
  • Write the words to match the expression 24-(6+3)
    14·2 answers
  • A basketball hoop witha circumference of 56.52 inches i need to find the diameter
    9·1 answer
  • Need to see how you divide 247÷100
    10·1 answer
  • A principal of $1700 is invested at 6% interest, compounded annually. How much will the investment be worth after 13 years?
    5·1 answer
  • How did you determine which value to use for the constant and which value to use for the coefficient?
    8·2 answers
  • What is the value of x?
    14·1 answer
  • Which input value produces the same output value for the two functions on the graph?
    13·1 answer
  • HELP ME PLS PLS PLS- ALL MEH POINTS- WILL MARK BRAINLISET <3
    15·1 answer
  • Help on unit 8 right triangles
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!