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
skad [1K]
3 years ago
10

What is the result of rotating the triangle 90° counterclockwise around the point (2, -1)?

Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

(0, 2) -> (-1, -3)

(1, 5) -> (-4, -2)

(3, 1) -> (0, 0)

Step-by-step explanation:

The general rule for a rotation 90° counterclockwise around the origin if you have a point (x, y) -> (-y, x). But since this isnt around the origin. You need to do a simple step before applying the rule.

To each point you want to rotate you need to substract the point that is the center of the rotation.

The points of the triangle are:

(0, 2)

(1, 5)

(3, 1)

Now you have to substract (2, -1) to each of them

(0, 2) - (2, -1) = (-2, 3)

(1, 5) - (2, -1) = (-1, 6)

(3, 1) - (2, -1) = (1, 2)

And with the new points you apply the rule for rotation (x,y) -> (-y,x)

(-2, 3) -> (-3, -2)

(-1, 6) -> (-6, -1)

(1, 2) -> (-2, 1)

And now you add the previously substracted point (center of rotation).

(-3, -2) + (2, -1) = (-1, -3)

(-6, -1) + (2, -1) = (-4, -2)

(-2, 1) + (2, -1 = (0, 0)

You might be interested in
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
almond37 [142]
Zinc = 7/18
Divide 4.9 by 7 = 0.7
Multiply by 18 = 12.6

The answer is 12.6 lbs of alloy. Sorry if I'm wrong
6 0
3 years ago
∠C and ​ ∠D ​ are vertical angles with m∠C=−3x+58 and m∠D=x−2 .<br><br><br><br> What is m∠D ?
11111nata11111 [884]
Vertical angles are equal

-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15

m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13 
4 0
3 years ago
Read 2 more answers
Given {27,15,3,-9,...} find a11
coldgirl [10]

Answer: -21, -33, -45

Step-by-step explanation:

each next number is being subtracted by 12 so

4 0
3 years ago
Read 2 more answers
12345 what is the answer if you multiply 1x2x3x4x5 and do the same with subtraction, addition and devision, in that order. Then
Alexandra [31]

Well, we just need to perform the operations:

  • Multiplication: 1\cdot 2 \cdot 3 \cdot 4 \cdot 5 = 120
  • Subtraction: 1-2-3-4-5 = -13
  • Addition: 1+2+3+4+5 = 15
  • Division: 1 \div 2 \div 3 \div 4 \div 5 = \frac{1}{120}

So, if you add all the numbers together you get

120-13+15+\dfrac{1}{120} = 122 + \dfrac{1}{120}

Or, if you prefer,

\dfrac{1681}{120}

8 0
3 years ago
Car traveling at 262.5 miles in 31/2 hours what was the car speed
lidiya [134]

Its 75 miles per hour hope you understand

6 0
2 years ago
Other questions:
  • The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.
    13·1 answer
  • Which is the graph of 3x-2y=6
    10·2 answers
  • Jennifer and Jessica come up with different answers to the same problem...
    7·1 answer
  • PLEASE HELP!!!!
    7·1 answer
  • There were 32 adults and 4 children in line at the movie theater. How many times more adults were in the line than children?
    6·2 answers
  • F(x) = (x + 6)(x - 4)
    7·1 answer
  • What is the approximate area of the circle shown below?
    7·2 answers
  • How to do this solve this correctly smart people pls
    8·1 answer
  • What 2 numbers add up to 2 and multiply to -24?
    6·1 answer
  • Joanna recorded the number of laps she swam during practice in one week. Freestyle 100 Breaststroke 50 Backstroke 60 Butterfly 2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!