You are given the following points: A=(−4,20,16)A=(−4,20,16), B=(20,0,7)B=(20,0,7), C=(8,−15,−19)C=(8,−15,−19).  Which point is closest to the yz-plane?  ? A B C   What is the distance from the yz-plane to this point?   Which point is farthest from the xy-plane?  ? A B C   What is the distance from the xy-plane to this point?   Which point lies on the xz-plane?

Q: TUESDAY: Plot the following coordinates on the plane. E = (3,2) F = (7,9) G = (10,3) H = (5,7) %3D…

A:

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Can the x-intercept and the y-intercept of a line be the same point? Explain. O Yes, when the line…

A: Given

Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

A:

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

A:

Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

A:

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: Use coordinate plane formulas (slope, distance, midpoint) to determine whether parallelogram ABCD…

A:

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

A:

Q: In the xy-plane, line & passes through the point (0,0) and is parallel to the line represented by…

A:

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.