ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

Q: Find an equation of the plane that passes through the points (4, 4, 3), (5, 3,-5), and (-5, 4, 2).…

A:

Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

A:

Q: Solve for the distance from the point (-5, 4, 5) to the plane −x+4y−5z=4.

A: Given Plane: -x+4y-5z=4 and Point: (-5,4,5)

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and…

A:

Q: Find a set of parametric equations of the line with the given characteristics.

A:

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 208 feet.…

A:

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: We need to find the equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11) and…

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 4, 7), and (1,0, –1).…

A:

Q: What type of three-dimensional object will form from rotating this two-dimensional object around its…

A:

Q: Find an equation of the plane. The plane through the point (8, -8, -8) and parallel to the plane 5x…

A:

Q: Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3).…

A:

Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Solution:-

Q: Find the equation of a plane through the points (- 3, 2, 6), (– 8, 5, - 8), (4, – 4, – 1).

A: Given: Three points -3,2,6, -8,5,-8, 4,-4,-1

Q: Find an equation of the plane that passes through the points (1,5, 2), (3, 4, –2), and (-–5, 5, 1).…

A:

Q: Suppose that you are an engineer designing an arch bridge spanning the entrance to a marina. Small…

A:

Q: Determine the equation of the plane determined by the points (1, 2, 3), (-8, 4, 6), and (3, 7, 9)

A: As we know the formula for finding equation of plane is given by    where (xA , yA , zA), (xB , yB ,…

Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

A:

Q: Find an equation of the plane passing through the points.(3, 2, −2), (3, −2, 2), (−3, −2, −2)

A: Vector equation of the plane passing through the three points with position vector  Now , plane…

Q: Find the centroid of the triangle whose vertices are at points (3,4). (6.-9) and (6,-2). asap pls

A:

Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

Q: Find the equation of the plane through the points (0, 1, 1), (1, 0, 1), (1, 1, 0) Thank you.

A:

Q: The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must…

A: here we know that parabola is passing through three points (0,0), (11,3) and (16,0) and we also know…

Q: Solve conic equation

A:

Q: Find the number of points in the xy-plane with integer coordinates located at a distance 5 from the…

A:

Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

A:

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

A:

Q: Find the equation of the plane that passes through (2, 1, 1), (1, 4, 1) and (-2, 0, 4). Put the…

A: Given, The points 2,1,1, 1,4,1 and -2,0,4  We have to find the equation of the plane passing through…

Q: Find an equation of the plane that passes through the points (4, 3, 3), (2, 2, –2), and (-5, 3, 2).…

A:

Q: . Find an equation of a plane passing through the point (3, 4. 0) and containing the line of…

A:

Q: Find an equation for the plane through А (0, 0, 1), B (2, 0, 0), and С (), 3, 0).

A: The equation of a plane passing through three points Ax1, y1, z1, Bx2, y2, z2 and Cx3, y3, z3 is…

Q: Find an eguation of the sphere that passes through the point (5,-2,-1) whose whose Center is the…

A:

Q: The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must…

A: Given

Q: What is the farthest point on the sphere x2 + y2 + z2 = 16 from the point (2

A:

Q: The line passes through the point(7, 8, 9) and is parallel to the xz-plane and the yz-plane. 7,8,1 +…

A:

Q: Find an equation of the plane passing through the points.(0, 0, 0), (1, −1, 0), (0, 1, −1)

A:

Q: Find an equation of the plane passing through the given points. (9, 5, -5), (9, −5, 5), (-9, −5, −5)

A: This question can be solved using the concept of equation of plane passing through three non…

Q: Find an equation for the plane through the points (4, 2, 2), (1, 2,0), (-1,0,2).

A: given 3 points are x1, y1, z1=4,2,2 x2, y2, z2=(-1,0,2) x3, y3, z3=(-1,0,2)

Q: Write the equation of the plane passing through point (3, 8, 3)| that is parallel to the xz- plane..

A: Given: A plane passes through (3, 8, 3) and is parallel to the xz-plane. To Find: Equation of plane

Q: Find an equation of the plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1) . Show all…

A: Given plane passing through given three points

Q: Find an equation of the plane through (0,5,0), (1,3, –2), and (-3, 4, 2).

A:

Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

A:

Q: Find the equation of a plane that goes through the points (- 4, – 4, 0), (3, 5, – 4), (0, – 2, 1).

A: Given: The three points ( – 4, – 4, 0) , (3, 5 , – 4) and (0 , – 2 , 1).   To find: The equation of…

Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

A:

Q: The distance from the point S(-7, 8, -4) to the plane 10x+2y+11z=2. 20 3 8 15 8 225

A: The equation of the plane is  10x+2y+11z = 2 The point is S-7,8,-4 To evaluate : The distance from…

Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

A:

Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y -z = -2?

A:

Q: Find an equation of the plane passing through the points.(0, −1, 0), (1, 1, 0), (2, 1, 2)

A: we have to find an equation of the plane passing through the points (0,-1,0), (1,1,0), (2,1,2)

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…

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1

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.