What is the image of (1, −6) for a 90° counterclockwise rotation about the origin?

After rotation New coordinates of the point is ( 6 , 1 ).

Step-by-step explanation:

Given point is ( 1 , -6 ) which lies in IV quadrant.

we have to rotate it by 90° counterclockwise.

we use a result which states that when a point with coordinate ( x , y ) is rotated 90° counterclockwise then the new coordinates of the point i given by ( -y , x ).

Therefore, After rotation New coordinates of the point is ( 6 , 1 ).

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

mental cunning

explanation:

he is often referred to as a man of twists and turns