See the diagram below. In this diagram plane 1 and plane 2 are parallel. Point Q (0, 2, 7) is on plane 1 and point P (1, - 3, 7) is on plane 2. The equation of plane 2 is 2x + hy + kz=10. Find the distance between plane 1 and plane 2 in terms of h and k. Label your graph and show all work, please don't just plug numbers into a formula. Hint, you can use vector projections/a dot product. Plane 2: . P (1,-3, 7) Plane 1: . Q (0, 2, 7)

When the coordinates of two points are (x , y ) and (x, -y) what line symmetry do the points share? Explain.

30. These points are the vertices of a triangle: (-4,3), (2, 2) and (3,-2). Graph these points and label them on the grid below. Reflect this triangle in the y-axis and label the results A', B' and C'. Finally, reflect the three new points over the x-axis and label these 3 new points A", B", and C". Give the coordinates of these points in the blanks below. -7 A' = A" = -6 -5 -4 B' = B": || -3 -2 -1 C' = C" = 4 3 2 1- 0 -1 -2- -3 + -5 1 2 3 4 10 5 6 7

7) The point (3, -7) is on a circle with center (0, 0). Write the standard equation of the circle.