The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are found by rotating the wy-axes by an angle of 0, find the corresponding coordinates for the points in the XY-system. (22, 24), 0 = 45°

Determine the values of x and y in the parallelogram below. (8x + 72) (5x + 30) 4y°

1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with the linehaving an equation 2x+y-5=0.a. 3x + y + 1 = 0, x + 2y - 7 =0b. 3x - y + 1 = 0, x + 3y - 11 =0c. 2x - 3y - 14 = 0, x + 3y - 11 = 0d. 2x - 3y + 14 = 0, x + 3y - 11 =0   2.  Find the polar equation of the circle with radius 3/2 and the center in polar coordinates at (3/2,π).    3. Find the angle between the lines AB and CD, where A: (2,-4,3), B: (-1,3,-2), C: (5,-2,1), D: (4,1,6).    a. 90 b. 91.06 c. 81.05 d. 85.5   4. Find the angle between the planes 4x-2y+6z+15=0 and 15x+10y-5z-27=0.a. 82◦b. 83◦57′c. 85◦54′d. 87◦54′

The line joining two points A(2,0) and B(3,1) is rotated about A in anticlockwise direction through an angle of 15°. Find the equation of the line in the new position. If B goes to C in the new position,what will be the coordinates of C?