Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the center and the radius of this spere.

Q: Consider the circle whose equation is given by (x + 2)^2 + y^2 = 9. Suppose that the center was…

A: given  (x+2)2+y2=9standard form of circle is (x-h)2+(y-k)2=r2 where (h,k) is centre  and r is radius…

Q: b)(y-4)^2=-12(y-2)

A: b) Given equation of parabola is: (y-4)2=-12(x-2) 4a = 12 a = 3 Therefore we get, The vertex of the…

Q: How can we tell from the equation if the ellipse will have a major axis that is parallel to the…

A: our objective is to describe.

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: What are the lengths of the major and minor axes of this ellipse 6 =D1? O Major Axis: 6 units, Minor…

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Q: Consider the equation of the circle given as: 3x^2 + 3y^2 + 6x - 4y=0.The corresponding center of…

A: The center radius of the circle is given by  (x-h)2+(y-k)2=r2 where center is (h,k)r is the radius…

Q: put the equation in standard form then find the center, major and minor vertices, foci and…

A: To Determine: Put the equation in standard form then find the center, major and minor vertices,…

Q: what is the tallest truck that can pas

A: Given , Height= 15 feet, Width- 40 feet, Truck width= 12 feet.

Q: What is the center, the major axis length, the minor axis length and the equation of the ellipse…

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Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Give an equation: (x+2)^2/(36)+ (y-4)^2/(25)=1. Please show me step-by-step solution, how to find…

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Q: Draw an ellipse having major and minor axis length as 90mm and 60mm

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Q: Find the area and perimeter of an ellipse with major axis = 6 and minor axis = 4.

A: Topic = Ellipse

Q: What are the center and radius of the circle, (x-7)^2 + (y+6)^2 = 4?

A: The standard form of equation of circle is (x-a)2+(y-b)2=r2 where (a ,b) are the coordinates of the…