23) (Section 9.1/9.2) Convert polar equation r =3sin O to a rectangular equation

Q: Please provide detailed explanation, easy to understand.

A: Given that, the holes are evenly spaced around the circle.It is observed that five holes are there…

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it.

A:

Q: What is the image of point (-3, reflection in the origin? 1) (3,1) 2) (-3, 1) 3) (1,3) 4) (-1,-3)

A: Given query is to find the image of point (-3,-1) when reflect it about origin.

Q: Determine the coordinates of image point after a rotation of 25 degrees about (0,0) from point (4,0)

A: Use rotation matrix

Q: What is the center (in rectangular coordinates) of the circler= -3 sin 0 ? (0, - ) 3 0, O (0, v3)…

A: The given circle, r=-3 sin θ

Q: What type of three-dimensional object will form from rotating this two-dimensional object around its…

A:

Q: What is the image of the point (−5,−4) after a rotation of 180^{\circ}180∘ counterclockwise about…

A: Given The point is (-5 ,-4)  The rotate given point at 180 degree .

Q: Suppose point A(9,2) was rotated clockwise 90 degrees around the origin.  What is the x coordinate…

A:

Q: As part of video game, the point (2,6) is rotated counterclockwise about the origin through an angle…

A:

Q: What is the image of the point (-9,3)(−9,3) after a rotation of 180^{\circ}180∘ counterclockwise

A: Given point (-9,3)

Q: Suppose point A(6,1) was rotated clockwise 90 degrees around the origin.  What is the x coordinate…

A: we know that ,  Rotation of 90 ° ( clockwise )  Point ( x , y )  After rotation  point image ( y , -…

Q: What is the 180 degree counter clock wise rule which transformed the pre-image ordered pairs (3,6)…

A: We see that 3 has been transformed to -3 and 6 to -6. Hence

Q: Show that the point (5,4,2), (6,2,-1) and (8,-2,-7) are collinear

A:

Q: Let S be the triangle with vertices (4.2, 1.2, 4), (6, 4, 2) and (2, 2, 6). Find the image of S…

A: Let D be the data matrix for S.

Q: 11. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point. O a)…

A:

Q: 7. Show that points (6, 1), (2, - 4), and (-2, 1) belong to an isoscles triangle.

A: 7. In this question we have to show that the given points belong to an isosceles triangle. Isosceles…

Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…

A:

Q: sec = {- %3D

A: To find:     sec=?

Q: As part of video game, the point (1,6) is rotated counterclockwise about the origin through an angle…

A: If a point (x,y) and angle is given and we have to find the new coordinates (X,Y)  after rotating it…

Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: 2. Locate point C such that mZDBC = mZBDC = mLADB. %3D %3D

A: I assume that You have already find the position of point D.

Q: .A line I through the point (5,3,-6) has direction co quations of the line.

A: Introduction: We know that the vector equation of any line has the form r=r0+tv, where v is the…

Q: As part of video game, the point (5,7) is rotated counterclockwise about the origin through an angle…

A:

Q: Select the figure with four lines of symmetry and a 90° angle of rotational symmetry. A

A: Line of symmetry is a line that cuts the figure or a shape exactly half and if you were fold the…

Q: Chapter 11, Section 11.6, Question 043 Find the distance between the point (4, –9,5) and the plane…

A: The given point and plane is (4,-9,5) and 2x-2y+z=2

Q: 3. If point (-3, 5) is rotated counterclockwise 180 about the origin, its image will be point 1) (5,…

A:

Q: What is the image of the point (-7,5) after a rotation of 180° counterclockwise about the origin?…

A: We will use the formula for transformation of axes by an angle to find the new co-ordinates of the…

Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?

A: To determine the parametric equation of a line segment.

Q: What is the image of (-2,3) under the reflection in the x-axis?

A:

Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: 11. Explain point symmetry, line symmetry, and rotational symmetry.

A: We have to explain point symmetry, line symmetry, and rotational symmetry.

Q: 16. If the point (3, 7) is rotated counterclockwise by 45°, what point is obtained? What point is…

A:

Q: Point M(-6,8) is rotated 90 degrees counterclockwise about the origin. What is the coordinate of M'?

A: In case of a counter-clockwise rotation about 90°, a point (x,y) is mapped to (-y, x).

Q: Point (1, — 1) is the midpoint of AB, where A has coordinates(—1, 3). Find the coordinates of B

A: Here given midpoint of line AB is (1, -1) also the coordinate of A is (-1,3) Let coordinate of B is…

Q: 22) (Section 9.1) Convert rectangular point (-24,7) to polar coordinates

A:

Q: The coordinates of point P are (7,1). What are the coordinates of the image of P after Rog. about…

A:

Q: What is being constructed in the image?

A: Choose a correct option.

Q: As part of video game, the point (2,1) is rotated counterclockwise about the origin through an angle…

A: The coordinates of the given point are (2,1). The relation between cartesian coordiantes x, y and…

Q: 2.) What is the location of the coordinate (2,-4) when rotated 90 degrees clockwise about the…

A:

Q: Point (4,-4), cırele centered (1,0) and containing the porit (l,5).

A: If any circle centered at (a,b) and contained a point (c,d), then it can be observed that the radius…

Q: calculate Sry³ dA where Ris the vertex of the triangle (0, 2), (1,1) and (3,3 )|

A: The sketch of R is

Q: Find the area of the triangle with vertices (1,0,0), (0, 2,0), and (0,0, 1).

A: Area of triangle when three points are given is half the modulus of the cross product of the two…

Q: Give the coordinates of Z" after Triangle XYZ with vertices X(-6,4), Y(0,6), Z(-4,2) is reflected…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: A rectangle has vertices at the points (0,0), (6,0), (6,4), and (0,4) on a coordinate plane as…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, when the figure rotated…

Q: As part of video game, the point (7,6) is rotated counterclockwise about the origin through an angle…

A: Given, As part of the video game, the point (7,6) is rotated counterclockwise about the origin…

Q: Consider the point (4,1) in polar co-ordinates. What is the sum of its rectangular coordinates?

A: Polar coordinate r, θ to rectangular coordinate x, y: x=rcosθ          ...(1)y=rsinθ…

Q: What is the image of the point (-4,8)(−4,8) after a rotation of 90^{\circ}90∘ counterclockwise about…

A: We need to find image of point.