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
irga5000 [103]
3 years ago
10

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(–2, 1), an

d C'(1, 7). What are the coordinates of the vertices of the pre-image?
Mathematics
2 answers:
Licemer1 [7]3 years ago
4 0
Assuming the original was rotated counterclockwise, and this only works for a rotation about the origin, a rotation of 90 degrees switches the x and y coordinate and depending on which part of the graph (quadrant) it is in the signs may change as well.  First, and the trickiest part is finding how the signs change. 

There are four quadrants, first, second third and fourth starting with the upper right than upper left than lower left then lower right.Since none of the veracities have a 0 in them we don't have to worry about the x or y axis, though it is worth realizing each axis is 90 degress from the others.  So something  at 2 on the x axis (2,0) moves 90 degrees counterclockwise would then be at 2 on the y axis (0,2) and moves one more time would be at (-2,0).

A' is in the first quadrant (upper right) so the previous quadrant 90 degrees clockwise is the fourth quadrant (lower right).  The signs of the coordinates then will go from (+,+) to (+,-).

Now that we have the signs we just switch the coordinates so (6,3) goes to (3,6) and the sign change makes it (3,-6).  Just follow this pattern with the other two points (-2,1), and (1,7) find the signs by figuring out the previous quadrant than switch the coordinates and apply the sign changes
iragen [17]3 years ago
3 0

A=(3,-6) B=(1,2) C=(7,-1)

You might be interested in
5/8 0.67 1.2 3/5 Greatest to least
SSSSS [86.1K]
1.2
0.67
5/8
3.5

I think this is what it would be.
4 0
3 years ago
A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? p =
stepladder [879]

Answer:

p=3

Step-by-step explanation:

The given parabola has equation ;

x^2=12y

The general formula for a parabola is;

x^2=4py

To find the value of p, we need to compare the coefficient of y in both equations;

\implies 4p=12

Divide both sides by 4;

\implies p=\frac{12}{4}

\implies p=3

5 0
3 years ago
I need help with this one asap please and thank you
inna [77]

Answer:

C

Step-by-step explanation:

A

(m² - 3m + 2) / (m² - m)

we see due to a little bit of experience with expressions and multiplications of expressions that

(m² - 3m + 2) = (m - 2)(m - 1)

(m² - m) = m(m - 1)

so,

(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m

so, that's not it.

B

(m² - 2m + 1) / (m - 1)

we see again

(m² - 2m + 1) = (m - 1)(m - 1)

so,

(m - 1)(m - 1) / (m - 1) = m - 1

so, that's not it.

C

(m² - m - 2) / (m² - 1)

we see again

(m² - m - 2) = (m - 2)(m + 1)

and

(m² - 1) = (m + 1)(m - 1)

so,

(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)

yes, that is the solution.

D

(2m² - 4m) / (2(m - 2))

2m(m - 2) / (2(m - 2)) = 2m/2 = m

no, that is not a solution.

8 0
1 year ago
Find the 12th term in the following arithmetic sequence
sattari [20]
It is going up by 5 so i believe your answer would be 57
4 0
3 years ago
A school has 1200 students 1/3 are in the upper school. 2/5 in the middle school and the remainder in lower school. How many stu
seraphim [82]

Answer:

257 students in the lower school

Step-by-step explanation:

you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school

4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom

6 0
2 years ago
Other questions:
  • HELP <br>Which equations represent hyperbolas?
    15·2 answers
  • True or false, the product of two rational numbers is never equal to 1.
    13·1 answer
  • What is the length of ac?
    8·2 answers
  • What are the answers to the "Writing linear equations puzzle"? Plz help!
    14·1 answer
  • Solve <br> - 5 3/4 - 3 1/2 = ???
    14·2 answers
  • What is the absolute value of 3 squared?<br> NO LINKS I NEED THE ANSWER QUICK PLEASE IF YOU CAN
    14·1 answer
  • Simplify 45a²b<br> __________<br> 30AB​
    15·1 answer
  • After allowing 20% discount an article is sold for rs.672 levying 12% VAT, find its market price​
    8·2 answers
  • There are 4 girls for every 10 boys in a class. How many boys would there be if there were 10 girls?
    13·2 answers
  • Find xy when x(-7,10) and y(3,4)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!