questions below:

Give a geometric description of the set of points in space whose coordinates satisfy the given pair of equations. x=3, y=0 E> Choose the correct description. 0 A. The line through the point (3,0,0) parallel to the xaxis. O B. The point (0,3,0). 0 C. The line through the point (3,0,0) parallel to the z-axis. O D. The point (3,0,0). Describe the plane perpendicular to each of the following axes at the given points with a single equation or a pair of equations. a. the z-axis at (0, - 7, - 8) b. the x-axis at (1, - 7, - 5) c. the y-axis at ( - 3, - 2, - 4) . . . a. Choose the correct equation of a plane perpendicular to the z-axis. OA. X= 0 O B. y= - 7 O C. Z= - 8 b. Choose the correct equation of a plane perpendicular to the x-axis. O A. y= -7 OB. X= 1 O C. z= -5 c. Choose the correct equation of a plane perpendicular to the y-axis. O A. y= - 2 OB. x= - 3 O C. Z= -4Show that the point P(1,3,5) is equidistant from the points A( - 2,2,3) and B(4,4, 7). . . . To find the distance between two points, P1 (X1 ,y1,Z1 ) and P2 (X2.y2.Z2 ) , use the formula |P , P2 |= To find |PA , the distance between P(1,3,5) and A( - 2,2,3), substitute the appropriate values into the distance formula above and evaluate. What is |PA|? |PA| = (Type an exact answer.) To find |PB , the distance between P(1,3,5) and B(4,4,7), substitute the appropriate values into the distance formula above and evaluate. What is |PB|? |PB| = (Type an exact answer.) What is the last step to show P is equidistant from A and B? O A. Compare |PA|, |PB|, and |AB|. If |PA| = [PB| = |AB|, then P is equidistant from A and B. O B. Compare |PA| to |AB | and |PB| to | AB|. If | PA| = |AB| or |PB| = |AB|, then P is equidistant from A and B. O C. Compare |PA| and |PB|. If |PA| # |PB), then P is equidistant from A and B. O D. Compare |PA| and |PB|. If |PA| = [PB|, then P is equidistant from A and B