Find the equation of a line that is parallel to the line x=16 and contains the...
Consider the line y=-5x+2. Find the equation of the line that is parallel to this line and passes through the point (6. 4). Find the equation of the line that is perpendicular to this line and passes through the point (6. -4). Note that the ALEKS graphing calculator may be helpful in checking your answer. E Equation of parallel line: DE X 5 ? Equation of perpendicular line:
Please describe the reasoning n 1. Find the equation of the line I which is parallel to the plane Pi: xtyz and the plane P2: x-2y-z = 3 and contains the point p (1,2,3).
Find the equation of the plane through the point (-2,8,10) and parallel to the line x=1+t, y=2t, z=4-3t
41,43,45 41. Write an equation for a line parallel to f(x)= -5x – 3 and passing through the point (2,-12) 42. Write an equation for a line parallel to g(x)= 3x -1 and passing through the point (4,9) 43. Write an equation for a line perpendicular to h(t)=–2t+4 and passing through the point (-4,-1) 44. Write an equation for a line perpendicular to p(t) = 3t + 4 and passing through the point (3,1) 45. Find the point at which...
Find the equation of the line through the point (-1, 4) and parallel to the line whose equation is 2x - y = 3. Write answer the slope-intercept form. Let the quadratic function f be defined as f(x) = 4x - x?. Compute the following functional values. (a) f(-2) (b) f(0) (c) For what values of x is f(x) = 4? 12. The price of a widget was $299. In five years, the price dropped to $149. Assume a linearly...
Find an equation of the line that is tangent to the graph of f and parallel to the given line.function: f(x) = x2 − 6line: 2x + y = 0
15. Find the equation of the line parallel to y = -5/2 x + 6 that passes through the point (-2,1) 16. Find the equation of the line that passes through (4,5) and that is perpendicular to the line y = 3/2 x -4 17. The figure to the side represents a sidewalk structure. measurements are in meters. If beam A is perpendicular to beam B, find the size of beam C. 18. For each of the following equations, determine...
Find an equation for the line with the given properties, Express your answer using either the general form or the slope-intercept form of the equation of a line. Parallel to the line y = 4x containing the point (-6.6) The equation is _______ (Type an equation. Simplify your answer.)
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6 Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =