Draw a two-dimensional figure that could be rotated using a vertical axis of rotation to give the cone shown.

Q: What are the coordinates of the image of trapezoid ABCD after a 90° rotation about the origin?

A: The image of the trapezoid ABCD after 90˚ rotation about the origin :

Q: Answer the following questions. You must show all your work. 1) Convert the point (2,-1) from…

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Q: How would you create a parallel line that passes through a given point using rotation?

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Q: 60 cm in diameter and 5 cm deep, find the focus

A: diameter of parabolic reflector = 60cm & 5 cm

Q: Convert z? + (y +5) = 25 to polar form. Drag and drop an answer to each box to correctly complete…

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Q: If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus

A: We have to find the focus of the given parabola.

Q: It takes you 4 seconds to walk to a spot that is 10m East and 6m north of your favorite tree.…

A: Given that :Time taken to reach the end point =  secondsDistance walked in east direction =  In…

Q: genuy. Registration number = 026 II: Consider rx + y+ 4z = 8 and x + ry – z = -1 %3D Find the acute…

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Q: State the formulas for converting rectangular to spherical coordinates.

A: Converting rectangular to spherical coordinates.

Q: The arrow leaves the bow at an angle of 10 degrees and an initial speed of 240 feet per second. a)…

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Q: A basketball court is 94 feet by 50 feet. Lisa takes 20 seconds to walk from one corner of the court…

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Q: II. Cylindrical to Spherical 6. (12, 45°, 12)

A: Conversion of cylindrical coordinates to spherical coordinates. Let,  ρ,θ,φ be the coordinates of a…

Q: What is the focal width and the Axis of symmetry? Given that Focus= (2,3) and Directrix=7

A: For the Parabola, given that focus is (2, 3) and directrix is x=7.

Q: Determine the coordinate of a 3D point (100.0, 29.0, -79.5) after rotating 60° across Y-axis, given…

A: Given:                       point: A100.0,29.0,-79.5                Rotation: θ = 60° across…

Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: The coordinates of quadrilateral ABCD are as follows: A = (3,0), B = (7,1), C = (6,-4), and D=…

A: Given dataThe coordinates of quadrilateral ABCD are,

Q: 1. Write the following linear equations as a set of parametric equations: a. y =x+ 4 b. y =x - 3

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Q: If an equation fails the test for symmetry with respect to the polar axis, what can you conclude?

A: The equation has failed the symmetry test, but that does not mean that it is not symmetric with…

Q: The first artificial satellite to orbit the earth was Sputnik I. Its highest point above earth's…

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Q: a boat travels towards the northeast at 23 knots and there is an 8 knot crosswind out of the…

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Q: Find (V2 + i ) . Answers must be in Polar and Rectangular Form

A: The given problem is to express the given complex number in the form of polar form and rectangular…

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

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Q: Please help me with this problem

A: Parametric equation: