14 Find the surfuce area the part of the parabolic cy linder 2=y? that the triangle with vertices xy-plane. of lies over (0,0), (0,1), (4,1) in the

Q: Let P = (0,0, 0), Q = (1, –1, –2), R = (2,1, 1). Find the area of the triangle PQR. area = Let T =…

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Q: -3- Identify ALL the new coordinates of polygon ABCD after a translation of 2 units up and 4 units…

A: I'm providing hand written solution for better understanding. It's translation of coordinate…

Q: Zxx-4Zxy-Zyy=0 Zxx+4Zxy+2ZyY=0 Zxx+Zyy=0 Zxx+6Zxy+9Zyy=0 Zxx-10zxy+26Zyy=0

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Q: fy the notation that shows the transformation of triangle SML onto triangle S'M'L' to show the…

A: Explanation and solutions is given below....

Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: An isometry of the plane R² takes the line segment from (0,0) to (3, 4) to the line segment from (1,…

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Q: 18) B. Suppose that rectangle ABCD is dilated to A'B'C'D' using (0, 0) as the center and a magnitude…

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Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

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Q: Find the shortest distance from (1,1) to (1,2) on hyperbolic plane.

A: Here we take the  (1,1) to (1,2) on hyperbolic plane.    for example we take this    d(x,y) = a cosh…

Q: 2. Consider the triangle with vertices at A = (0,0), B = (-6, –9), and C = (-15,0). (a) Find the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The plane ४/७ Incorrect y + + 6 4 SAPOR = 12 NIS = 1 intersects the x-, y-, and z-axes in points P,…

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Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

A: Given equation of the sphere, Given point is (-6, 6, -6). Distance of the point (-6, 6, -6) from…

Q: Q4) Find the intersection of the line x = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

A: 1. In analytic geometry, a line and a sphere can intersect in three ways: No intersection at all…

Q: (2, 3.5)

A: Here, the given function is,

Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: If the coordinates of the ends of a focal chord of the parabola y²=4ax and (x,,y,) and (x,.y;) then…

A: Consider the given parabola y2=4ax Suppose Ax1 , y1  and  Bx2 , y2 be the ends of the focal chord of…

Q: 17. [Shadows] Consider the parallelogram surface whose vertices are (0, 0, 1), (2,0, 1), (3, 2, 1),…

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Q: Find the distance the point P(2,0,1) is form the plane 3x – 6y + 2z = 15. -

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Q: $ x4* dx + 2x*y dy where C is the triangle wl vertices (0,0), (3=), and (2, 4) i ?

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Q: 19. Find the distance from the point (3, -2,7) to the plane 4x – 6y + z = 5. Show all necessary work…

A: A detailed solution is given below.

Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

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Q: a Find the distance from the point pC,,1) to the plane 2K -3y+77=1

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Q: Given two lives (zt+l, st-s,lot) f (34, 2++3, z++1) loca ted in Side th plane ? (zt+l, 5t-5,lot ) f…

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Q: d the distance between the point (2, -4, 3) and the plane 5x – 2y + z = 10

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Q: Let T be the plane -y+2z = 7. Find the shortest distance d from the point Po=(2, 3, −4) to T, and…

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Q: Find the distance from Po = (3, 9, 6) to the plane 3x + 4y – 5 = 0.

A: The given equation of plane is 3x+4y-5=0 and the point is P0=3, 9, 6. The distance between a point…

Q: 3 Show that the planes, x-2y+4z-13D0 and 3x-6y+8z=5, if so, find the distance * .between them…

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Q: PO 6. If this triangle was reflected over the y-axis to form AH' J'K', what would be the coordinates…

A: I reflected this triangle about y axis

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.