4. Find the equation of the line that is symmetric to line l:y=x-3 with JOT1 to welve9! 1 respect to line m: y 3 3...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
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 the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
y^2-3x-4y-1=0 3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 passes through the origin, lines D, 2 and 3will not form a triangle in the following three cases: wor When D and 3 are (i) parallel. doa When 2 and 3 are (ii) parallel. When D, and 3 all intersect at one point. (ii Therefore, from ( i ), (ii) and (iii), m 4. Find a for...
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
2. Find the equation of a line which is perpendicular to the line 2x-y=4 and include P(3,4) 3. Find the equation of a cirle with the radius 3 and the center (1,-1) 2.5 4. Find the radius and the center of the following cicle equation 05 x² + y² - 2x + 4y - 4 = 0 1. GÖ
Please answer questions 51,52 & 53 And include all work. Thanks. 3-58, solve the system by using the elimination method. 33. 4x + 3y = 7 35. 3x-2y=1 ad 34. x 2y x+2y = 3 36, 2x-2y = 1 -2x tys3 38. y=2x-4 y=4-2x 40. 2x-5y = 7 2x + 2y = 5 42, 3x-4y = 7 - 3y3 3x y3 37, y = 3x + 5 y=5-3x 39. 3x+2y=10 41, 2x-3y = 5 3x-3y = 1 43, 3x+5y =...
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2.2) with gradient 3 ii. Passing through (-3,7) parallel to the line 3x-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0 For each of the above lines find both the x intercept and the y intercept
Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost. Min 4X + 2Y + 6Z s.t. 6X + 7Y + 10Z ≤ 80 (1) 2X + 4Y + 3Z ≤ 35 (2) 4X + 3Y + 4Z ≥ 30 (3) 3X + 2Y + 6Z ≥ 40 (4) X,Y,Z ≥...