What is the area of the parallelogram? (-5,7), (3,7) (-1, 2) (7,2)

Q: Find the distance between the two points. (-2, –7, 3), (4, –7, 1)

A: Given, ( -2,-7,3) , ( 4, -7,1) We have to find distance between these two points.

Q: Find the area of the triangle whose vertices are  (2,3,1), (1,-1,2) (-1,2,3)

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Q: What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

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Q: (5,6) parallel 2x-5y=-7

A: Given,

Q: What

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Q: Find the distance between (1, 8) and (-3, 3)

A: we use distance formula=√((x2-x1)^2+(y2-y1)^2. see 2nd step.

Q: 8. What is the midpoint of the segment whose endpoints are (5, 12, 7) and (-1,4,–3)?

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Q: How can you say that the points (1,-5),(3,-2),(7,4) are collinear

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Q: Find the area of the parallelogram with vertices (1, 0, 2), (2, 1, 2), (1, 3, 5), and (2, 4, 5).

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Q: Find the area of the parallelogram with vertices (1, 1, 1), (–6, 4, 1), (5, 3, 4), and (–2, 6, 4).

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Q: Find the area of a triangle whose points are (1, 2), (-2, -1) and (3, 0).

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Q: Which statements about parallelograms are always true or sometimes true?

A: Six properties about parallelogram we need to remember : Opposite sides of parallelogram are…

Q: Find the distance d between the points (5, – 7, 2) and (2, 5, 6).

A: Distance between two points x1,y1,z1 and x2, y2, z2 is d=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: Find the distance between (5,3) and (5,7)

A: The distance between two points x1,y1 and x2,y2 is given by x2-x12+y2-y12 Given points are 5,3 and…

Q: Find the area of the parallelogram determined by the points P(7, -5, 5), Q(6, 7, 10), R(-8,-8,8) and…

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Q: What is the cross product of a = (2, -5, 1) and b = (3, -2, -4)?

A: We have to find the cross product of a = (2, -5, 1) and b = (3, -2, -4).

Q: how to prove a parallelogram?

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Q: 3,10 on coordinate plane

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Q: Find the area of the parallelogram with vertices (2, 3),(5, 3), (4, 5), (7, 5).

A: Given: Vertices of parallelogram is: 2, 3, 5, 3, 4, 5, 7, 5

Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

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Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x)…

Q: Find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5, 2), (5, 7,…

A: We have to find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5,…

Q: A diagonal of a square has length 8. What is the perimeter of the square?

A: Consider the provided information, A diagonal of a square has length 8. Find is the perimeter of the…

Q: Find the area of the triangle whose vertices are (-8, 4), (-6, 6) and (-3, 9)

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Q: Find the distance between (3,0) and (-9,4).

A: we know that distance d between two given points x1,y1,x2,y2 is given by d=x2-x12+y2-y12

Q: Find the area of the parallelogram with vertices (2,2), (4, 6), (9, 11), and (11, 15)

A: calculate the area of parellelogram .

Q: Find the area of a triangle with vertices (-3, 2, 5), (1, 0, 8) and (0, -5, -5). Give your answer…

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Q: Find the area of the parallelogram. P1 (1, 2, 0), P2 (-3, 3, 4), P3 (0, -3, 3)

A: Given points are, P11,2,0P2-3,3,4P30,-3,3

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: A parallelogram has both pairs of opposite sides equal. True or false?

A: Since we know that a parallelogram has a pairs of opposite sides equal and parallel

Q: plane

A: We are given three points  P(9,0,0)   ,  Q(0,18,0)    ,R(0,0,27). First we need to find a orthogonal…

Q: plane.

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Q: What is the area of a quadrilateral with vertices at (-2,-6), (1,-6), (-2,0), and (1,0)? Enter the…

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Q: The vertices of a rectangle are located at (1, 2), (5, 0), (2, -6) and (-2, -4). What is the area of…

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Q: Determine the area of the parallelogram determined by the points (1,4),(-1,5),(3,9)and( 5,8).How can…

A: Consider the provided question, Let the vertices of the parallelogram are A, B, C and D.

Q: Find the area of the parallelogram with vertices at (5, -2), (11, 3), (14, –8), and (20, -3).

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Q: The distance between the points (1,-2,1) and (5,1,4)

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Q: Find the area of a triangle with the coordinates of the midpoints of the three sides in a row (2,1),…

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Q: What Is the area of the parallelogram? |(3, 8), (6, 5) (3. - 3)* (6, - 6)

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Q: 2. Find the area of the parallelogram that has two adjacent sides u and u. ū = (8, 2, -3) = (2,…

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Q: Find the area of a triangle with the vertices as (3,-1,2), (8,2,4), (–1,-2,–3).

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Q: Find the ration in which YZ -plane divides the line joining A(2,4,5) and B(3,5,-4) .Also find the…

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Q: (-4, - 3), (8, 7). What is the area of a triangle whose vertices are and (8, - 3)?

A: The area of the triangle with the vertices at (x1,y1), (x2,y2) and (x3,y3) is given by the following…

Q: Find the area of a square who’s vertices have the coordinates (3,6),(3,1),(-2,1),(-2,6 

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Q: Find the area of a parallelogram with corner points at (2,4), (5,9), (9,9), and (6,4) Area

A: Area of a parallelogram of base b units and height h units is given by the equation; Area (A)=a·h

Q: Find the area of the triangle with vertices (1,0,0), (0, 2,0), and (0,0, 1).

A: Area of triangle when three points are given is half the modulus of the cross product of the two…

Q: Find the area of a parallelogram whose vertices are (- 2, – 3, 2), (2, – 4, 2), (2, 2, 0), and (6,…

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Q: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

A: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

Q: Find the area of the parallelogram with vertices at (1, -1), (13, −11), (−4, −1), and (8,–11). Area…

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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.