Direction is provided for the sphere problem

Q: Quadrilateral UVWX is a tectangle, UY = 11w - 62, and XY = 8w-41. What is UY? %3D %3D Y UY = %3D

A: Quadrilateral diagonal cut at the right angle AND Equal in length so first we wind the value of W…

Q: Show that the equation represents a sphere, and find its center and radius: x? + y? + z2 – 2x – 4y +…

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Q: If A ABC is reflected across the line y-z+ 1, what are the coordinates of Point A post-reflection?…

A: In the question it is asked to show the reflection of the triangle shown in figure. It is asked to…

Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

A: The general equation of the sphere is given as x-x02+y-y02+z-z02=r2. Here, the center of the sphere…

Q: 1. give the equivalent cartesian coordinates of ρ = π

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Q: Find the equation of the perpendicular bisector of side of the triangle having vertices…

A: Slope of a line passing through two points x1,y1,x2,y2 is given by Y2-x1x2-x1 Midpoint of two points…

Q: Identify the following by getting rid of the parameter and write a cartesian equivalent: x =…

A: Consider  x=−2+3cosθ, y=5−3sinθ

Q: ²+y? + - 2x – 4y + 8z + 17

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Q: B. 3. A

A: Explanation of the solution is given below...

Q: y 4- 3- 2- 1- -4 -3 2 -10 1 2 3 4 5 6 -2- H. -4- From your work on question 1, what is the MOST…

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Q: 28. The equation of a sphere with center (a, b. c) and radius r is (x- a) + (y – b)? + (; – c)? =…

A: Given,   The equation of a sphere is given  x-a2+y-b2+z-c2=r2  To justify it with the distance…

Q: Find the standard equation of the sphere. (Let  r = 9 and C = (3, 8, 9).)

A: equation of sphere where center ( a, b ,c ) radius r

Q: A car drived 50 km on a bearing of 125°. If its position is defined in terms of Cartesian…

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Q: Complete the square to write the following equation as standard equation of a sphere and find center…

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Q: Find the center and the radius of the sphere. x2 +y? +z? +5x + 6z = 0

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Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

Q: (b) How do you find the distance from a point to a plane?

A: Formula to find the distance from a point (x1 , y1 , z2 ) to the plane Ax+By+Cz+d=0 is given by:

Q: Which of the following point is the closest point on the sphere a? + y? + z? = 4 from the point…

A: Given: The given sphere is x2+y2+z2=4 and the point is (3,1,-1)

Q: Find the parametric form of (i) the circle x?+y? =p²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

A: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

Q: x² + + =1 y2 9. 4

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Q: Complete the square to write the following equation in the standard form for a sphere. x²+y²…

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Q: 8. Given right triangle AABC, with mzB = 90°. After a reflection over the y-axis, the image of AABC…

A: Reflection of triangle

Q: Sketch the given surface

A: Given: x42+y82+z122=1 The given equation is an ellipsoid.

Q: Which of the following correctly depicts the sphere given by the equation: x2 + (y - 2)2 + (z - 2)2…

A: Given: x2 + (y - 2)2 + (z - 2)2 = 4

Q: Find the points on the sphere x² + y° + z?=1. that are closest to and farthest from the point (2, 1,…

A: Given, x2+y2+z2=1   ;   point (2,1,2)

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: To which coordinate plane is the plane y = 1 parallel?

A: y=1

Q: Describe in words the surface whose equation is given. p = 7 O a circular cylinder with radius 7 and…

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Q: A car drived 50 km on a bearing of 125°. If its position is defined in terms of Cartesian…

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Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2

Q: Use the information provided to write the standard form equation of the circle. Center: (12, -6)…

A: This question related equation of circle.

Q: Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is…

A: We have to solve all three parts

Q: Find the shortest and longest distance from the point (1,2, -1) to the sphere x2 + y? + z? = 24 %3D

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Q: Advanced Math prove that corresponding angles of two parallel lines and their intersection cannot be…

A: Corresponding angles are equal if the transversal intersects two parallel lines. If the transversal…

Q: What will be the new coordinates of the triangle with vertices A(0,1),B(1,2) and C(1,0) when : i) it…

A: given coordinates of a traingle ABC A(0,1),B(1,2) and C(1,0) what will be the new coordinates of…

Q: A Square is a rhombus Never Sometimes Always

A: square is quadrilateral with all angles right angle and all sides are equal. Rhombus is…

Q: Find the value of x that makes the quadrilateral a parallelogram. *Show your work Show Your Work 6x…

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Q: Find the value of x that makes the quadrilateral a parallelogram. *Show your work Show Your Work 2x…

A: The opposite sides of a parallelogram are of equal length and parallel. We will make use of this…

Q: On the lacrosse field, the circular region around the net, called the crease, is an area that only…

A: Concept : equation of circle with center xo,yo and radius r is (x-xo)2+(y-yo)2 =r2 the crease can be…

Q: consider equation x^2+y^2-2x-6y+1=0 a) by using the complete square method show that the question…

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Q: What is the standard equation of a circle with radius 7 and is concentric (same center) with the…

A: Given:- x2 + y2  +2x-4y=5 To find:- Equation of circle concentric with given circle and radius 7

Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: The equation a? + y? = 9 in 3-space is circle. Select one: OTrue OFalse

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Q: x²+y*+8x -6y + 24= U %3D

A: Explanation and solutions is given below....

Q: Given the points A (0,0), B = = (7,1), and D (3,4). %3D %3D Find coordinates for the point C that…

A: Quadrilateral is parallelogram if it's diagonal bisects each other  I.e midpoint of both diagonal is…

Q: Your task in this section is to illustrate the situation below and make your own design of different…

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Q: The endpoints of AB are A(4,3) and B (1,1). What are the coordinates of A" after the image has been…

A: Coordinates of A.

Q: 2. Find the Cartesian coordinates for the following points. a) b) 3

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Q: Find the angle of intersection of the parabola y^2=2x and the circle x^2 +y^2=8.

A: Given: Parabola is y2=2x and, Circle is x2+y2=8 Now to find the point of intersection between the…