Hekp fast fast

1.find the image of (2, 6) after a counterclockwise rotation of 180° about the origin.

-6,-2

-2,-6

6,-2

2,-6

2.find the image of (5, 3) after a counterclockwise rotation of 270° about the origin.

3,-5

-3,-5

-5,-3

5,-3

3.find the image of (2, -3) after a counterclockwise rotation of 90° about the origin.

4.find the image of (-8, 9) after a counterclockwise rotation of 180° about the origin.

5.the coordinates of the vertices of a triangle are represented by the polygon matrix which polygon matrix represents the image of the triangle under a 180° counterclockwise rotation about the origin?

6.the coordinates of the vertices of a triangle are represented by the polygon matrix . which polygon matrix represents the image of the triangle under a 90° counterclockwise rotation about the origin?

a) (-2,-6)

b) (3, -5)

c) (3 ,2)

d) (8,-9)

Step-by-step explanation:

a) You have to use the Rotation Matrix, which is and it has to be multiplied by (x,y) which is equal to (2,6)

Then after the multiplication you´ll obtain (-2,-6)

b) You have to use the Rotation Matrix which is and multiplied for the vector (5,3) you´ll obtain (3, -5)

c) The Rotation Matrix for a rotation of 90° is given by and again after the multiplication you´ll obtain (3,2)

d) The Rotation Matrix is given by  hence after the multiplication fo the roation matrix and the vector you´ll obtain (8,-9)

The answer of 5 and 6 is the matrix that I already wrote down on the excercises.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer: b

step-by-step explanation: im sorry bro bro but thats not a eqation the human mind can answer and plus im a devil