Find the area of the rectangle whose vertices are the points with coordinates (5, 2), (5, -6), (0, -6), and (0, 2).

Q: Find the area of the triangle whose vertices are A(-6, 0), B(10, -5), C(-2, 4)

A: We know that the area of a triangle ABC with vertices Ax1,y1, Bx2,y2, Cx3,y3 is:…

Q: Find the distance between the points.

A: Find the distance between the points.

Q: Find the midpoint between the two points (3, 6) and (-4, 8).

A:

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

A:

Q: find the area of the parallelogram whose vertices are listed. (0,0), (-2, 4), (4, -5), (2, -1)

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

Q: Find the rectangle whose vertices with one is on side x-axis. on

A:

Q: Use slopes to show that the square with vertices at (-2, 5)9, (4, 5), (4, -1), and (-2, -1) has…

A: To show: The diagonals of the square are perpendicular to each other. Given: The vertices of square…

Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: Find the perimeter of the triangle formed by the points (-7,-4), (1, -3), and (2, 6).

A: The three points of triangle: A(-7, -4), B(1, -3) and C(2, 6) The perimeter of the triangle using…

Q: Find the distance between the points (-4, 6) and (1, -4)

A:

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

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

A: Vector equation of a plane passing through three points with position vectors a→, b→, c→ is…

Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

A:

Q: Find the distance between the points (2,-4) and (-5,3).

A: We need to find the distance between (2, -4) and (-5, 3).

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 2).

A:

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 the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

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

A:

Q: Find the area of the rectangle ABCD with vertices 4(-3,0), B(3,2), C(4,-1), and D(-2,-3). 3 B(3,2)…

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Q: Find a plane through the points (2,1,-2), (5,-4,4), (6,7,-4)

A:

Q: Find the distance between the points (-3,5) and (-4,3).

A: By using distance formula, we calculate the required distance.

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

A:

Q: ) Find the equation of the plane through the points: (2,4,5), (1,5,7), (–1,6,8).

A:

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: The vertices of the triangle are (-9,-5), (-6,1), (5,8)

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and…

A: Let such a point is (x,y,z)

Q: point on the line

A: I

Q: Find the perimeter of the rectangle that has its 4 corners: (1,2), (7,2). (1-4) and (7-4)

A:

Q: Find the perimeter of the rectangle whose vertices are the points with coordinates (-1, 5), (3, 5),…

A: We have to find the perimeter of the rectangle whose vertices are the points with coordinates (-1,…

Q: Find the perimeter of a polygon whose vertices are (3, 5), (-1, -7), (-2, 4,) and (5, -6). Express…

A:

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

A:

Q: A circle has center at the intersection of the two lines, 4x + y = 4 and x - y= 6.  If it passes…

A: two lines are system Ax=b is

Q: Find the point on the line 6x + y = 7 that is closest to the point (−4, 2).  (x,y)=

A:

Q: Find the distance between the points (4, -2) and (-1, 10).

A: We have to find the distance between the points: 4, -2 and -1, 10. We know that if we have two…

Q: Find a point on x-axis which is equidistance from A (2,-5) and B(- 2,9).

A: Topic:- geometry

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

A:

Q: Calculate the area of a rectangle with the vertices given below. (-5, 3) (-1,3) (-1,-3) (-5, –3)

A: Topic  = Geometry Area = 24 Units2

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: Find the distance between the points (-2, 3) and (4, -5)

A: topic - coordinate geometry

Q: Find the rectangle whose vertices with one is on side X-axis. on

A:

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

A:

Q: Find the distance between the two points (-5, 4) and (3, 8).

A:

Q: What is the area of a square with the vertices (-9,4) (-2,8) (2,1) and (-5,-3).

A: We have to find the area of a square with the vertices -9,4, -2,8, 2,1, and -5,-3.

Q: Find the area of a triangle whose vertices are (-2; 5) (7; 2) and (3; – 4).

A:

Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

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

A:

Q: Find a plane through the points (-3,-1,-8), (-2,4,-7), (1,6,-4)

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Q: Find the shortest distance between the points (0,-6) and (-8, 0). (-8, 0) (0,-6)

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Q: What is the area of the triangle formed by the lines y=-2x+6, y=-2, and x=0

A: Find the solution below