Consider the projection from the origin of the straight line y + x = 2 on a straight line y + 2x = 5. Where does the point go with this projection (1,1) ? In the answer, indicate a point in the form   a+b*x where "a" is the first coordinate, and b is the second coordinate

Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and…

A: A paraboloid is a quadric surface that has exactly one axis of symmetry and no center. The given…

Q: 6. Write the standard form of the equation of a circle with the given center at (5,7) and a (5)² +…

A: Centre= (5,7) Radius= 2

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A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: Solve (-1+i)6 using De Moivre’s Theorem. Express final answer as rectangular form

A: Given term is: -1+i6

Q: Draw the line y = 2.x + 1 and its image under reflection in the y-axis.

A: The given line is  y=2x+1 The slope of the line is 2, Y-intercept is 1,0 and X-intercept is -0.5,0.…

Q: 4. Convert the equation (x = 10 + 5t : 10 - 2t = to scalar form.

A: Given the problem that the parametric equation is x=10+5ty=10−2tthe aim is to write the equation in…

Q: Find all hyperbolic lines that passes through i +1 and parallel to the y-axis.

A: Find all hyperbolic lines that passes through i+1 and parallelto the y-axis.

Q: 6. The z-axis. Answer:

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Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1,1) to the origin. Give the…

A: We need to find the motion which moves the line x+2y=3 to the y-axis and the point (1,1) to the…

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Q: Find the coordinates of the center of the curve whose equation is 16x2-25y2+160x- 200y+400=0. 4,5 O…

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Q: Directions: Transform the following equations into standard form.   10. x^2 - 3x = -2   11. y^2…

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Q: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: (x + 4)2. (v- 1)² 1? 36 What are the lengths of the major and minor axes of 16 A Major: 36; Minor:…

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Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: Find the distance from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

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Q: Verify that the mapping z + z², (z e C) will map the line y = -3 to a parabola. Find its Cartesian…

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