Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0), and (2,-3).

Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: What is the image of the point (2,-3) after the transformationr y-axis 1) (2,3) 2) (-2,-3) 3) (-2,3)…

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

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Q: Find the linear function whose graph passes though the point 13, 22 and is parallel to the line y =…

A: Given line 4 : y=3x+8Compairing with y=mx+C , slope of line 4 is m1=3 Hence , the slope of line…

Q: Find a point on the line 3x − y = 4 that is closest to the point (–2, 3)

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Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: Find the equation of a straight line passing through the point (2,3) and making non-zero intercepts…

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Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

A: We have to find a point on the line 6x + y = 6 that is closest to the point (-4,1). Concept Used -…

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Given equation of circle x2+y2-4x-21=0

Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

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Q: There is a line through the origin that divides the region bounded by the parabola y and the x-axis…

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Q: opens upward with vertex at (-12,-6) with directrix y=- 17

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Q: What is he symmetric equation of the line that passes through the points (3, 0, 11) and (2, 6, 7)?

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Q: Find the distance between the point (-4, -3) and (0, 0)

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Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

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

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Q: Find the equation of the line passing through the point (4,-1) and perpendicular to the line whose…

A: Given,         The equation of the line passing through the point 4,-1 and perpendicular to the line…

Q: Find an equation of the line passing through the point (2,1) that is perpendicular to the line…

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Q: point on the line

A: I

Q: Locate root of the equation x +x- 2 = 0 using fixed point method.

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Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Determine the equation of the line through (3,4) which forms the positive x and y axes, the triangle…

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Q: The plane that passes through the point (5,2,2) and is perpendicular to both x-5z=-24x-5z=-24 and…

A: The direction ratio of the normal vector to the plane x-5z=-24 or x+0y-5z=-24 is (1,0,-5) The…

Q: The equation of the line with slope – 2 that goes through the point ( – 8, – 7) can be written in…

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Q: What is an equation of the line that passes through the point (4, –3) and is perpendicular to the…

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Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…

Q: Determine the equation of the line passing through the point (3,22) which minimizes the area of the…

A: This question is based on application of Derivative. The two-point form of a line passing through…

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

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Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

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Q: Find the curve whose slope at the point (x, y) is x' +2x² – 7x +9 if the curve is required to pass…

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Q: (-2,4) parallel to y=-3/2x+3

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Q: Find the point on the line 4x + y = 9 that is closest to the point (-3, 1). (х, у) %3

A: 4x+y=9 and the point is -3, 1. Let x, y be the required point on the line. Now the distance between…

Q: What is an equation of the line that passes through the point (8,0) and is parallel to the line x +…

A: Use slope of given line and them find the equation of line.

Q: Find the image of the point (-4, 2) after its rotated by 30 degrees counterclockwise then rotated by…

A: We will find out the required image of point.

Q: parallel to -2x+3y=7 and passing through the point (6,4)

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Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x – 8x and…

A: There is a line through the origin that divides the region bounded by the parabola y=2x-8x2 and the…

Q: Find the distance between the two given point (-5,-3) and ( -2,3)

A: To Determine: Find the distance between the two given point Given: we have two points (-5,-3) and (…

Q: There is a line through the origin that divides the region bounded by the parabola y=7x-(2(x)^2) and…

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Q: find equation with y-intercept of 4, containing points (4,4)

A: The slope intercept form of a line is y=mx+c, where m is the slope and c is the y intercept. Here y…

Q: Find the equation of straight line which passing through point (1, 4) and perpendicular to line…

A: We have to find

Q: The equation of the line with slope −1 that goes through the point (−4,−4) can be written in the…

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

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Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

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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.