Find a map on the sphere so that each country borders only two other countries but the map requires three colors to color it.

Q: Give the dual of the phrase "three collinear points and a fourth point not on the line of the other…

A: Dual of any phrase can be find by replacing the conjunction connective with disjunction connective…

Q: Find the area of the triangle with the given vertices.(0, 0), (2, 0), (0, 3)

A: Consider the triangle with vertices (0, 0), (2, 0) and (0, 3). In order to find the area of the…

Q: An equation is being tested for symmetry with respect tothe x-axis, the y-axis, and the origin.…

A: Query- An equation is being tested for symmetry with respect to the x-axis, the y-axis, and the…

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

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Q: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear

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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: 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: 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: Suppose that (a) point C lies in plane X and (b) point D lies in plane X. What can you conclude…

A: Let point C and D lies in plane X. A straight line can be formed by joining the points C and D. Let…

Q: What is the vertex of y = Vx + 4+1 O (4, -1) O (4, 1) O (-4, 1) O (-4, -1)

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Q: R: square with vertices (0, 0), (2, 0), (0,

A: Given,         f(x, y)=19+3x-3y         R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2).

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: If you live in a two dimensional world, is it possible to explain the cross product?

A: Cross product or vector product can be done on two vectors in three dimensional space, where the…

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: How can we ensure that the decision boundary (separating hyperplane) of a perceptron does not always…

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Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

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Q: Find the area of a triangle whose vertices are (2,1), (3,-4) and (6,-4).

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Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if…

Q: It is possible for two intersecting lines to be noncoplanar.

A: It is possible for two intersecting lines to be noncoplanar.

Q: Calculate the volume of a parallelepiped if four of its eight vertices a A (1, 2, 4), B (2, 0, 5), C…

A: In this question we will use basic of calculus i.e concept of vector calculus. We will simply use…

Q: What are the coordinate planes in three-dimensional space? How are they drawn?

A: The Cartesian coordinate system is used to describe three-dimensional space which consists of an…

Q: A cube has four diagonals. Show that no two of them are perpendicular.

A: Given: A cube has four diagonals.

Q: Choose two figures which are topologically equivalent to each other

A: Two figures are said to be tropologically equivalent if they can be tranformed into each other…

Q: What is the dual of the phrase “three collinear points and a fourth point not on the line of the…

A: Answer :  Dual of any phrase can be find by replacing the conjunction connective with disjunction…

Q: plot the given pair on a cartesian plane {(1,1),(2,4),(3,7),(4,10),(5,13)}

A: The given pair of points are  A(1,1), B(2,4), C(3,7), D(4,10), E(5,13)

Q: Are the following  points collinear    -8,12  3,5 and  25,-9

A:

Q: Find the equation of the sphere which passes through (2, 1, 3), (3, 2, 1), (1, –2, –3), (–1,1, 2).

A: Given that the sphere passes through the points (2,1,3), (3,2,1), (1,-2,-3), (-1,1,2).

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

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Q: Show that the set of all points P that are twice as far from (-1,5,3) as from (6,2, –2) is a sphere.…

A: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

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: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: The vertices of a square are located at (1,7), (5,3) (1,-1) and (-3,3). What is the approximate…

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Q: If three vertices of a rectangle are located at (1,4),(1,2),(5,2) what are the coordinates of the…

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Q: Find the area of the quadrangle with vertices (6, 1), (-5, 5), (–3, –5), and (5, –4). Area = 1,0 -7…

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Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: What is the symmetric property

A: The below explanation is the answer.

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

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Q: Represent two planes that intersect at a line represented by 3 +2

A: There are so many pair of planes that represents the same line.

Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

A:

Q: Show that the points (5,4,2),(6,2,-1) and (8,-2,-7) are collinear

A: The points are A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) The points are collinear if the directional…

Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices  A−2,3,B1,4,C3,0 and D−1,−3

Q: calculate Sry³ dA where Ris the vertex of the triangle (0, 2), (1,1) and (3,3 )|

A: The sketch of R is

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: A rectangle has vertices at the points (0,0), (6,0), (6,4), and (0,4) on a coordinate plane as…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, when the figure rotated…

Q: Find the equation of the line that satisfies the given conditons.  Through (-6,-7); perpeindicular…

A: Given: line passing through (-6, -7), perpendicular to line passing through (-3,5), (1,3).

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

A: Co-ordinate Geometry Question

Q: Which point of concurrency is the center of gravity in a triangle?

A: