Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given by the following equation. 4

The graph of the line y=1/3x+1 intersects a second line at a right angle . If the y intersect of the second line is( 0,11) what is the point at which the lines intersect. A.(15,6) B.(-3.6,-(0,2) C.(3,2) D. (-3.75,-0.25)

8 Find the equation of a line perpendicular to: a the line x+ 3y = 0 and passing through point (-3, 2) b the line y = –3x + 0.75 and passing through (1,1.5). 9 Three farmhouses are to be powered by wind. The farms are located at A(60, 20), B(220, 120) and C(240,40), where the coordinates are in metres. A wind turbine is to be placed at the point equidistant from the farms A, B and C. Find: a i the equation of the line (AB) ii the midpoint of line segment [AB] iii the equation of the perpendicular bisector of line segment [AB] bi the equation of the line (AC) ii the midpoint of line segment [AC] ii the equation of the perpendicular bisector of line segment [AC] ci the equation of the line (BC) ii the midpoint of line segment [BC] iii the equation of the perpendicular bisector of line segment [BC]. d Determine the coordinates of the point T that is equidistant from the farms A, B and C. The blade of a wind turbine is 25 m long. Current regulations require that the distance between the…