There are currently 3 machines in a factory: P1, P2, and P3. Assume that this rectilinear shaped factory is located on the first quadrant of the coordinate system and one corner is at the origin (point (0,0)). The coordinates of the existing machines are as follows: P1=(10,15), P2=(20,25) ve P3=(40,5) To meet the increasing demand and respond to changing customer demands, the company decided to grow and acquired two new machines: N1 and N2. When these two machines are put into operation, they will exchange materials with each other and with the other three machines. 400 units of material will be transported between the 2 two new machines in a week. Similarly, 400 units will be transported between N1 and P1, 0 between N1 and P2, and 500 unit

Q: 2. (a) Show that the points (-2x, 5x), (0, 4x), (6x, x) are collinear.

A: Given that: (-2x, 5x), (0, 4x) , (6x, x)

Q: A snowman with the radius of 4 units and 6 units is standing on the third quadrant of the Cartesian…

A: The given graph is as follows:

Q: Consider a block of wood in the shape of a cube, 3 feet on an edge. It is desired to cut the cube…

A: No, it must be a minimum of 6 cuts to take out 27 smaller cubes from one large cube. Let's imagine…

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B. %3D

A: Consider the given vector as AB→=-7i+3j+8k and point A-2,-3,6

Q: Show that the equation x+y+z=4 ,2x+5y-2z=3,x+7y-7z=5 are not consistent

A: A square system of equations represented by, AX=B is considered inconsistent if the inverse of the…

Q: Find the coordinates of the midpolnt of PQ. (Reviewp. 15 for 4.3.) 9. P(-4,7), Q(1,-5) 8. P(2,-5),…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A:

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A:

Q: If quadrilateral ABCD was rotated 270 degrees counterclockwise about point D, what would be the…

A: Use coni method to find the rotation of point B after 270 degree rotation, zB'-zDzB-zD=cosθ+isinθ…

Q: :Find the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A:

Q: Plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane.

A: To plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane. Given…

Q: Use v=<3/5,4/5>,w=<-4/5, 3/5>, to verify the Parallelogram Law

A: The given vectors are

Q: Show that the points A(3,-2,4)B(1,1,1,) and C(-1,4,-2) are collinear

A:

Q: and the coordinate planes.

A:

Q: Find an equation of the line L that passes through the point  (−2, 6) and satisfies the given…

A: Given,            The line L that passes through the point (−2, 6).Since, L is perpendicular to the…

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: Find the coordinates of the other point whose one end is (1,0) and its midpoint is (0,1)? O (1,-2) O…

A: Let's find.

Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

A:

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (7,6) ,…

A: Given:

Q: Derive the system of equation needed for find the four-point Gauss- Legendre quadrature rule.

A:

Q: find the point p such that v=pq has the components (5,-7,-4)

A: find the point p such that v=pq has the components (5,-7,-4)

Q: The plane through the points (-5,-1,5), (2,4,7), (7,5,-6) has equation Ax + By + Cz = D. If A = 67…

A: 1)A plane containing the point (-5,7,-6) and the line r¯(t)=2,6,-2+t1,-3,-4 2)A plane passing…

Q: The midpoint of AB is M(2, –2). If the coordinates of A are (-2, 1), what are the coordinates of B?

A: Recall: Mid point Formula: The midpoint of M(x,y) of the line segment from A(x1,y1) to B(x2,y2) is…

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: Determine the value of each variable for parallelogram INDY that has diagonals that intersect at P.…

A: Given Data: The length of IP is: IP=3x The length of DP is: DP=6x-2 The length of NP is: NP=3y The…

Q: Find the Cartesian coordinates of the given point. (8, 0) 1) (0, 8) 2) (-8, 0) 3) (8, 0) 4) (0, -8)

A: Given problem:- Find the Cartesian coordinates of the given point.   (8,0)

Q: 0 = % 3P= 13

A: Given : θ=π3, ρ=13 We know that  θ=tan-1yxtanθ=yxtanπ3=yx3=yxy=3x

Q: If point A has coordinates (3,5), point B has coordinates (3, 2) , and ABCD is a square, which of…

A: we have to find the coordinates of C using given data

Q: If the plane through the points P(1,1, –1),Q(3,0, 2), and R(-2,1,0), which of the following are…

A:

Q: find the equation of  the perpendicular biceptor of the segment joining (4,2) and (-2, 6).

A: Let ( x1,y1) and ( x2,y2) be (4,2) and (-2,6) respectively

Q: Let L, be the line passing through the point P1=(-1, -2, -2) with direction vector d-[-3, -3, 1]",…

A: L1 is the line passing through the point P1(-1 , -2, -2) with direction vectord→ = -3, -3, 1Tand L2…

Q: If the plane through the points P(1,1, –1), Q(3,0, 2), and R(-2, 1,0), which of the following are…

A:

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: Find the point on the xx-axis that is equidistant from the points (6,1)(6,1) and (3,7)

A: Let the given points be A(6,1) and B(3,7). Let P(x, 0) be the point on the x-axis which is…

Q: Prove that the points A (2,15), B(1,6) and C(6,-9) are collinear.

A: To prove points are collinear find distances between every pair of two points and if any distance is…

Q: Find a plane containing the point (-5,7,-6) and the line 7(t) : +t

A:

Q: Determine whether the four points P:(1, 1, 2), P:(4, 0, 3), P:(1, 5, 10), and P.(7, 2, 4) lie in the…

A: 4 points are given and we have to check whether these lie in same plane or not.

Q: Find the values of the variables for the parallelogram. mz1=4y-14 (Type integers or decimals.)

A: Given parallelogram is as shown below : We can see one of the vertices is a right angle. If one…

Q: Determine the length of y = vx – 2 + 1 , 2 < y < 5

A:

Q: Transform the triangle with the rule (x,y)→(x+2,y-4)

A: From figure, it is clear that the points of the triangles are as given below (1,3),(2,1) and (5,4)

Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6

Q: Plot the points (– 5, – 1), (– 1, – 3), (4, – 4), (0, – 5) onto the coordinate plane below. 4 -6 -5…

A: The value of x is positive in the first and the fourth quadrant and negative in the remaining…

Q: In the city ofN, the road system is set up like a Cartesian plane. Point B is 13 blocks east and 7…

A: Let A point be (0,0) in a Cartesian plane.Point B is 13 block east and 7 blocks north from point…

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (1,2),…

A:

Q: Square QRST has two vertices at Q(-9, 5) and R(-7, 7). Which could be the coordinate of the vertex…

A:

Q: The midpoint of AB is M(1,3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A:

Q: Find the value of x and y in the rhombus. yo 3x 2x x= 30 y 3=

A:

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: The midpoint of AB is M(1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A: