A regular hexagon has a center located at (5,7) and one vertex located at (10,19). What is the minimum number of degrees that the hexagon must be rotated clockwise so that the point (2,-5) is on the hexagon's edge?

Q: What are the coordinates of the point on the directed line segment from (-6, –3) to (-1,7) that…

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

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

A: Given: The vertices of the triangle are as follows, (1,-1,-2),(-2,0,-1) and (0,-2,1)

Q: Show that the points form the vertices of the indicated polygon. Right triangle:    (4, -2), (8,…

A: Distance between two points: The distance between the two points (x1, y1) and (x2, y2) is given by,…

Q: How many triangles can be drawn in a plane using 8 non-collinear points?

A: How many triangles can be drawn in a plane using 8 non-collinear points?

Q: | The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4, –16, –14),…

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Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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Q: Find the coordinates of the point 7 of the way from A to B. of the way from A to B are The…

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Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

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Q: What are the coordinates of the point on the directed line segment from (-10, –10) to (6, –2) that…

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Q: What are the coordinates of the point on the directed line segment from (-3, 8) to (6, –4) that…

A: Section formula is the concept we are using here..    x, y =  mx2+nx1m+n , my2+ny1m+n  Are the…

Q: What are the coordinates of the point on the directed line segment from (3,-3) to (7,5) that…

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Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a…

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Q: What are the coordinates of the point on the directed line segment from (-10, 4)(−10,4) to (-5,…

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Q: A cube is located such that its top four corners have the coordinates (−4,−3,1)(−4,−3,1),…

A: Given ,  A cube is located such that it's top four corners have the coordinates (−4,−3,1) , (−4,3,1)…

Q: What are the coordinates of the point on the directed line segment from (-1,-8) to- (5, -2) that…

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Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

Q: What are the coordinates of the point on the directed line segment from (-6, 7) to (9, –5) that…

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Q: There are 5 posts on every side of a regular octagon (8-sided polygon). What is the minimum number…

A: Solution

Q: Find the volume of the parallelepiped with one vertex at (3, 2, 4), and adjacent vertices at (3, 6,…

A: Let, P=3,2,4, Q=3,6,5, R=-3,-1,-2, S=2,8,7 Now,…

Q: Show that the distance between the two points z1 and z2 in anArgand diagram is | z1 - z2 | .

A: Argand diagram:  1 It is a plot of complex numbers as point.  2In the complex plane using…

Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2,–2). What are the coordinates of the…

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Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: The shortest distance from (−7,6,−8) to the xy-plane is

A: Since the plane is a xy-plane so, the point will be (-7,6,0).

Q: 6. Center at (2,-3), one corner of auxiliary rectangle at (-1,-5), conjugate axis is horizontal

A: Given: Center: (2, -3) One corner of auxiliary rectangle at (-1, -5), conjugate axis is horizontal.…

Q: Point A is located at (4, 1) and point B is located at (9, 13). What are the coordinates of the…

A: Given, Coordinates of point A 4, 1  and point B 9, 13  A point divide the line segment in the ratio…

Q: Find the number of points in the xy-plane with integer coordinates located at a distance 5 from the…

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Q: What are the coordinates of the point on the directed line segment from (3, 3) to (7,-5) that…

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Q: Find the peremiter of the trapezoid with these vertices (-2,-2),(-5,-2),(6,-5),(-5,-5)

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Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: A parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5) is reflected over the y-axis.…

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Q: Point A is located at (5, 4) and point B is located at (10, 12). What point partitions the directed…

A: Given: A(5,4) B(10,12) m:n =3:1

Q: Find the volume of the parallelepiped with one vertex at (0, 0, 0) and adjacent vertices at (-3, 1,…

A: The vertices are given as , O=0,0,0 A=-3,1,4 B=-5,-5,-3C=-5,0,0  Find the volume of Parallelepiped.…

Q: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4,–16, –14), (-11,…

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Q: Find the center of the circle with a diameter that has endpoints (– 9, – 2) and (4, – 3). Enter the…

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Q: 2+9z X =,26+,A

A: Draw the quadratic surface y2+9z2=x using traces. Solution: The traces of the surface y2+9z2=x is…

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

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Q: What are the coordinates of the point on the directed line segment from (-8, 2)(−8,2) to (7,…

A: We have to find the coordinates of partition.  For this we will use the section formula

Q: Find the center of the circle with a diameter that has endpoints (−2,5)(-2,5) and (10,−1)(10,-1).…

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Q: What are the coordinates of the point on the directed line segment from (-3, -9)(−3,−9) to (4,…

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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 the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: What are the coordinates of the point on the directed line segment from (-4, – 10) to (10, –2) that…

A: To Find: Coordinates of the point on the directed line segment from -4,-10 to 10,-2 that partitions…

Q: A parallelogram has 2 vertices (1,1) and (0,7) and their diagonals intersect at the point (4,3).…

A: Given:

Q: What are the coordinates of the point on the directed line segment from (-6,-4) to (4, 6) that…

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Q: Determine the number of ways in which the vertices of an equilateraltriangle can be colored with…

A: For each vertex, we have 5 choices of colors There are 3 vertices So total number of ways to color…

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: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-11, –9, –17), (9,–3,…

A: Given a parallelepiped with its 8 vertices in no particular order. We need to find the volume of the…