Find an equation of the line passing through Po and normal to the plane P. Po(2,3,4); P: 3x- 2y +z= 10

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: Where does the following equation intercept the z-axis? y=+5z-9 A. (0, 1.4) & (0, -6.4) B. (-1.4, 0)…

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Q: 7. (1 point) Find equations for two lines through the origin that are tangent to the ellipse 212 –…

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Q: -3x+YA, where R is the parallelogram enclosed by the lines 4x - 5y Find R - 3x + y = 0, Round your…

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Q: b0 = 5, b1 = 2, b2 = 7a. determine whether the plane slopes upward, slopes downward, or is…

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

Q: Find the equation of the plane containing the point P = (6,8, -12) that is parallel to the plane 6x…

A: The plane containing the point  that is parallel to the plane .The objective is to find the equation…

Q: b0 = 0, b1 = 0, b2 = 3 a. determine whether the plane slopes upward, slopes downward, or is…

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Q: Geometric Sequence The value of a precious gold coin is increasing at a rate of 5% per year. If the…

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: b0 = –3, b1 = 4, b2 = 6 a. determine whether the plane slopes upward, slopes downward, or is…

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Q: b0 = 0, b1 = -0.05, b2 = 1.5a. determine whether the plane slopes upward, slopes downward, or is…

A: a).Direction of the slope of a plane:If the sign of the partial slope is positive, the plane slopes…

Q: The equation of line p is 2x+3y = 12. The line cuts the x-axis at point A and the y-axis at point B.…

A: Given:-  The equation of line p is 2x+3y = 12. The line cuts the x-axis at point A and the y-axis at…

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.