In Exercises 45-50, find the trace of the plane in the given coordinateplane.49. -x + y = 4, xz

Q: In Exercises 25-26, find the distance between the point and the plane. 25. (3,1,-2); x+2y-2z = 4

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Q: In Exercises 21-24, find an equation of the plane passing through the threepoints given.21.…

A: Solution:-  an equation of the plane passing through the threepoints given. P=(2,-1,4), Q=(1,1,1),…

Q: 50. Find the equation of the parabola, y = ax²+bx+c, that passes through the points (-1, 6), (1,4),…

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Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

A: Here we need to find whether these points are collinear or not the points are , then

Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

Q: Determine all critical points for the function. f(x) = x° – 6x? + 8 3 A. x= 0 and x = 4 В. х%3D —2…

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Q: You are at the point (3,2,3)(3,2,3), standing upright and facing the xzxz-plane. You walk 4 units…

A: Given: You are at the point (3, 2, 3 ), standing upright and facing the xz-plane. You walk 4 units…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.