rotate the triangle 90 degree Counterclockwise around the origin. Find the coordinates of point C in the image after rotation.

Option (6)

Step-by-step explanation:

Coordinates of the vertices are,

A(1, 1), B(1, 4) and C(3, 1)

Rule for the rotation of a point by 90° counterclockwise about the origin is,

(x, y) → (-y, x)

Therefore, after the transformation the new vertices of the triangle will be,

A(1, 1) → A'(-1, 1)

B(1, 4) → B'(-4, 1)

C(3, 1) → C'(-1, 3)

Therefore, after rotation coordinates of point C will be,

C'(-1, 3)

Option (6) will be the correct option.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

13.46

step-by-step explanation:

16.80 x .20 = 13.46