The rectangular coordinates of a point are given. Plot the point. (-7, -7√3) O O -10 (r, 0) = -10 -5 -5 y 10 5 -5 -10 -15F y 15 10 5 -56 -10 5 5 10 10 (larger r-value) Find two sets of polar coordinates for the point for 0 ≤ 0 < 2π. (r, 0) = (smaller r-value) X X -10 -10 -5 -5 y 15 10 5 -5 -10 y 10 5 -5 -10 -15F 5 5 10 10 X

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′

Write the equation of a circle where the center is (-1,2) and a point on the circle is (-6, 2). OA (x-1)2 + (y+2)² = 5 OB. (x+ 1)2 + (y + 2)? = 25 oc (x+1)? + (y –2)2 = 25 %3D OD. (x – 1)? + (y – 2)² = 5 %3D MT8 vocabulary.docx F3 F4 F5 F6 F7 F1O F11 6. 8. E R

3 The point P (5, -1) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, P'? (-1, -5) (-1, 5) (-5,-1)