x + y - 2z + w = -2 -X + z + 3w = 3 -x + 2y - z + 11w 5

Q: Write the equation x2 - 4xy + y2 - 3 = 0; θ = 45°in terms of a rotated x′y′-system using θ, the…

A: Given: x2 - 4xy + y2 - 3 = 0; θ = 45°

Q: 1. Put the following equations in standard form and find the center point and the radius: a) x-2x+y…

A: Given that

Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: Determine the vertex, opening and the length of the latus rectum in the given equation below. 1. y?+…

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Q: ²+y? + - 2x – 4y + 8z + 17

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form a = f(y) for: Sa(t) = - 4t2 Ty(t)…

A: The objective is to eliminate the parameters to find a cartesian equation in the form x=f(y).

Q: Find the parametric equations of the solutions to the following linear system x + 2y – 3z = 4 -2x –…

A: From the given system of equations, we can write the matrix as 12-3-2-4636-94-812 R2+2R1, R3-3R1…

Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

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Q: What are the coordinates of point D? y •B 2 ([ ? ], [ ]) Go -2 -E 2 4. D Enter the number that…

A: The coordinates of D are (3,-4)

Q: • Which of the following equations has a graph of a sphere? a. x2 + y? + 2² +x + y+ z + 3 = 0 b. x?…

A:

Q: Write the equation x2 - 4xy + y2 - 3 = 0; θ = 45° in terms of a rotated x′y′-system using θ, the…

A: Given

Q: Help Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A:

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: The figure is a rhombus. Solve for x and y 23° ot. X

A: Angles , geometry

Q: 3 Which equation is for the hyperbola? O x = a (y – k)² + h (z-h)² (y-k)? = 1 O (z – h)° + (y – k)°…

A: LET'S FIND HYPERBOLA EQUATION,   ANSWER :-  OPTION B IS RIGHT   OPTION A IS PARABOLA. OPTION C IS…

Q: 1. Give the coordinates of the center, foci, vertices, and th equation. x2 a. y2 =1 11 - 25 x2 b. 9…

A: Given: (a)   x225-y211=1 (b)   x29-y27=-1 (c)   9x2-4y2=36

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: The given equations are x2+y-12+z2=4    and   y=0. Substitute y=0 in x2+y-12+z2=4 and simplify as…

Q: The motion of a particle in space is defined by the parametric equation x(t)=-t2+3t+1,in meter and…

A:

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

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Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

A: Given equation of the sphere, Given point is (-6, 6, -6). Distance of the point (-6, 6, -6) from…

Q: The figure is a rhombus. Solve for x and y

A: In Rhombus , the diagonal bisects the angles  Opposite angles are equal and the diagonal bisects the…

Q: RS has endpoints R(-6,7) and ŠC0,-5). What are the coordinates of its midpoint?

A: Midpoint formula: if two points (x1,y1) and (x2,y2) then midpoint =x1+x22,y1+y22

Q: The three-dimensional quadric figure below is described by: x² + 2y? + 2z – 5 = 0

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Q: Which cube root equation shows a y-axis reflection, a vertical stretch, a left horizontal…

A: topic - function and translations

Q: , April 23 Part A What is AB? Round to the nearest hundredth. y 2 X 2 4 -2 -41 AB = Part B What are…

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Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

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Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Given: The pair of equations: x2+y2=4, z=y We have to give a geometric description of the set of…

Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

A: Comparing with standard form of equations of circle,

Q: Solve the following system. (Enter your answers as a comma-separated list. If there are infinitely…

A: Given:

Q: S21: The Cartesian coordinates of

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Q: 2 -3 -2 -1 2. B. -1 -2 The midpoint of AB = ([ ? ], [ ]) %3D 3. A,

A: In the graph, the coordinate of the points A and B are, A=-2,1 B=1,-1 Here, the objective is to find…

Q: A concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long and the…

A: Given that, a concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long…

Q: What are the solutions to the system of conics? *- = 1 x2 4 2 y? = 8 (x + 1) Drag the ordered pairs…

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Q: The figure is a rhombus. Solve for x and y 23°

A: Properties of Rhombus The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are…

Q: Solve the following system of equations. (Enter your answers as a comma-separated list. If there are…

A: Given2x - 16y - 6z= 33……………..……….(i)-4x + 32y +12z = -44…………………(ii)

Q: Find an ordered pair (x, y) that is a solution to the equation. 2x-y=5 (x, y) = D %3D

A: Given:       To determine: An ordered pair (x, y) that is a solution of the given equation.

Q: Write the standard equation of each círcle. Center (2, -8); r=-9 2 2 (x ) + ly Center (-9, -4); r=4…

A: let C(h,k) be the center of a circle and A(x,y) be a point on the circle .Therefore , the radius of…

Q: For the three points ( 1,5), (2,9) and (-1, 7), find a quadratic model y = ax + bx + c through the…

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Q: Solve the following system. (Enter your answers as a comma-separated list. If there are infinitely…

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Q: Given 4x2 + 9z2 = 9,2 (a) Write the equation above in standard form. (b) Identify the surface. (c)…

A: We have to  write the equation in standard form, name the surface, find its axis, sketch the…

Q: A -3 -2 B -2 The midpoint of AB = ([ ? ], [ ]) M = (, ) %3D X1+X2 _Yi+y2 2 2.

A:

Q: 50 ft 100 ft,

A: Consider the parabolic arch formed in the foundation of the bridge

Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: Which cube root equation shows a y-axis reflection, a vertical stretch, a left horizontal…

A:

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for [x(t) =…

A:

Q: (2х + 16)° (3х - 2)°

A: x = 18   explanation is given in below step

Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…