Which of the equations below represent linear equations? I) y = 3x+ 1 II) y = 3x+ 53 II) y = 3°x+ V9 IV) y = 3x? + 1 A Parts II and III B Parts II and IV Parts I and 1II D All four parts 20

Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (2, -1). (Enter…

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Q: Exercise 9: Line 1 has equations x =-1+2s , y= 1-2s and z = 1+4s. Line 2 has equations x = 1-t, y =t…

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Q: Consider the lines y = 2x-3, y = x+ intersect to form a triangle. + 4, and y = x + 3. When graphed,…

A: The graph of  given linear equation will be Shaded region show that triangle formed by the given…

Q: Answer the following questions using the coordinate plane: 1) In what quadrant is the point (5,…

A: To find: (1) In what quadrant is the point (5, -6.453725)? The point (5, -6.453725) lies in the…

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A: Let the equation of the plane passing through three points be  Ax+By+Cz+D=0 This plane passes…

Q: A crate that weighs 160 lbs is suspended from the ceiling of a warehouse by two cables. One of the…

A: In this question, we use the concept of sine rule of triangle law.

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Q: Determine which equations are linear equations in the variables x, y, and z. If any equation is not…

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Q: On a grid map of a province, the sr coordinates that correspond to the location of a cellular phone…

A: The center is -2, 3 and radius is 12.

Q: My question and answers are in the image. Can  you please go over them and make sure that my math is…

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Q: What are the coordinates of the foci in the equation - 4 *5=1? A F1(1,0); F2(-1,0) B F1(3,0);…

A: The given equation is: x25+y24=1                               (1) Equation (1) is compared with the…

Q: b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-³), D (,0). Find the equation of the plane…

A: As per norms, we will be solving only one question. If you need an answer to others then kindly…

Q: Given triangle cOW, with vertices C, O = (0, 0), and W = (6, 0), solve the following problems. a. If…

A: The orthocenter of a triangle is obtained by the intersection of altitudes of a triangle. Altitudes…

Q: Write the equation 23x2 + 26√3xy - 3y2 - 144 = 0; θ = 30° in terms of a rotated x′y′-system using θ,…

A: Given Data The equation is 23x²+26√3 xy-3y²-144=0. The angle is θ=30°.   Put the value in…

Q: Given the point (-1, 0, 2) with director vector (2, -3, -1) determine the general equation…

A: Given the point (-1, 0, 2) with director vector (2, -3, -1). We have to determine the general…

Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: Which equations below are parallel to the line 6x - 9y = 36 a. 2x = 3y b. 2у 3D 3х +24 2x + 3y = 0…

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Q: Determine which equations are linear equations in the variables x, y, and z. If any equation is not…

A: By definition, A linear equation in the n variables x1,x2,x3,.......xn is an equation that can be…

Q: Find the permateric equation of the line through point P(-3,-2,1) parralel to the line…

A: The parametric equation which passes through a point x0, y0, z0 and parallel to pointa, b, c is…

Q: Find a parametric representation of the solution set of the linear equation.12x1 + 24x2 − 36x3 = 12

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Q: 10. Paralleogram ABCD has vertices A(-1,4), B(3,2), c(3,-4), and D(-1,-2). y A(-1, 4) B(3, 2) 4-2 2…

A: Given, Parallelogram ABCD with vertices  A-1, 4B3, 2C3, -4D-1, -2  We have to find the equation…

Q: Three towns, A, B, and C, are situated so that AB=300 miles, AC=194 miles, and BC=160 miles, B bieng…

A: Three towns, A, B, and C, are situated so that AB=300 miles, AC=194 miles, and BC=160 miles, B being…

Q: Lines l and m intersect at point P. If mZ1 = 43°, find: a) mZ2 b) mZ3

A: Angle:

Q: The ordered pair that satisfies the following simultaneous equations is 2х + Зу %3D 1, . 10. 3x - y…

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Q: Use the substitution method to solve the following system of linear equations: -0.8z + 6.4y - -13…

A: The given system of equation is: -0.8x+6.4y=-13 0.2x=1.6y-17

Q: The vertices of a triangle are located at (3, 11), (11, 2) and (0, 2). Which of these equations…

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Q: Formulate this problem as an LP (do not solve, just formulate please)  There are currently 3…

A: The given co-ordinates of machines are P1=10,15,P2=20,15,P3=40,5 To formulate the given Lp problem…

Q: In the game Battleship, the player uses coordinates to drop depth charges from a battleship to hit a…

A: To find - In the game Battleship, the player uses coordinates to drop depth charges from a…

Q: The coordinates of three points are A(-1,-6), B(3,-12) and C(k,6). Find the value of k if (a) A, B…

A: The coordinates of the given points are A(-1,-6),B(3,-12) and C(k,6).

Q: 7. A line connecting coordinates ( x, 7) and ( 10, y) is bisected at ( 8,2). Find the equation of…

A: Given : A line connecting (x,7) and (10,y) is bisected at (8,2).

Q: The coordinates of a particle change by ▵x = 5 and ▵y = 6 as it moves from A(x, y) to B(3, -3). Find…

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Q: (b) The line has equation r = Verify that C lies on 1. (i) (ii) 8 CO -3+A 2 Show that AB is parallel…

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

Q: Find the real number ( B ) such that the line of symmetric equations ( x - 3 = = ) is parallel to…

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Q: Find the equation of the plane passing through the three points ?=(−1,0,2),?=(2,−1,2),?=(3,−3,−3).

A: We know that, the equation of a plane passing through three non-collinear points…

Q: The cartesian form of i is -10 1 3 2 10

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Q: ind an equation of the plane passing through the given points. (3, 1, 12), (1, -3, 18), (2, -2, 16)

A: Given points are (3, 1, 12), (1, -3, 18)  and  (2, -2, 16)

Q: Write the equation 23x2 + 26√3xy - 3y2 - 144 = 0; θ = 45° in terms of a rotated x′y′-system using θ,…

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Q: Replace the Cartesian equation with equivalentpolar equations. y = 1

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Q: Formulate this problem as an Lp (do not solve. Just formulate) There are currently 3 machines in a…

A: The LP is formulated by using the following steps: Consider whether to minimize or maximize the…

Q: What are the coordinates of latera recta of the equation 16x² + 9y² + 64x – 18y-71= 0? 17 17 ,1+. 1…

A: Given query is to find the coordinates or latera recta of the equation.

Q: Ex.2/ Find an equation for the plane through A(-1,1,2), B(2,0,1) and С2,-3,3)

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Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Consider the provided information, Given P=2,-4,A=5,-1 and B=-3,-5. We know that the formula for the…

Q: Express the given equations to the standard form. Identify the coordinates of the center, endpoints…

A: Express the given equations to the standard form. Identify the coordinates of the center, endpoints…

Q: Find the linear equation of the plane through the origin and the points (6, 4, 2) and (6, –1, 1).

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Q: Determine which equations are linear equations in the variables x, y, and z. If any equation is not…

A: The equation of the form ax+by+cz=r where a,b,c,r E R and non zero and x, y , z are the variable is…

Q: Determine which equations are linear equations in the variables x, y, and z. If any equation is not…

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Q: Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, -1). (Enter…

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Q: 18. Write the following equation in terms of a rotated x'y'-system using 0, the angle of rotation.…

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Q: A(1, 1) and B(2, -3) are two points and D is a point on AB produced towards B such that AD= 3AB.…

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