Final answer:
The location of the point (-3,4) after a rotation of 180° around the origin is (3,-4).
Step-by-step explanation:
To determine the location of the point (-3,4) after a rotation of 180° around the origin, we can use the formula for rotating a point (x, y) around the origin:
x' = x*cos(theta) - y*sin(theta)
y' = x*sin(theta) + y*cos(theta)
When theta = 180°, the formulas become:
x' = -3*cos(180°) - 4*sin(180°) = -3*(-1) - 4*0 = 3
y' = -3*sin(180°) + 4*cos(180°) = -3*0 + 4*(-1) = -4
Therefore, the new coordinates of the point (-3,4) after rotation of 180° around the origin are (3,-4).