Which of the following is the rule for rotating the point with coordinates (x, y), 90 counterclockwise about the origin? A. (x, y)→(−y, x) B. (x, y)→(y, x) C. (x, y)→(x,−y) D. (x, y)→(y,−x)

A. (x,y)→(−y,x)

Step-by-step explanation:

For rotating a point about the origin at 90° in the counterclockwise direction, the x and y coordinate values are interchanged with the interchanged y value also given a negative sign.

For clarity :

Given the coordinate (2, 5)

Rotating (2, 5) about the origin at an angle of 90° in the counterclockwise direction:

(x, y) - - - - - - - - - - > (-y, x)

(2, 5) - - - - - - - - - - - > (-5, 2)

answer: i think it is (1,-2)

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.