Reduce each of the quadratic equations to its standard form and determine the name that classifies it and sketch its surface. 4.- 25x2+4y² + 20z² + 24y - 164 = 0

Q: Complete the given table of quadratic data. Model the data as a standard form quadratic equation.…

A: We need to model the given data such that it fits into a quadratic equation. We also need to…

Q: 10. (-2, 3), (2, -9), (5, -60)

A:

Q: Find the length of the diagonals of rectangle WXYZ 

A: Solution The objective is to find the lengths of the diagonals of rectangle. By Rectangle Diagonals…

Q: Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

A: Given the equation : 9x2-4y2+16z2-144=0 We know Equation of hyperboloid of one sheet:…

Q: Determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0

A: We have to determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0.

Q: A quadratic surface has the equation x2+2y2+2z2+2yz = 1. Write the equation in standard form.…

A: To write the quadratic surface equation \( x^2 + 2y^2 + 2z^2 + 2yz = 1 \) in standard form and…

Q: Find the equation of the parabola given 3 points using quadratic formula. (33,-9) (49,23) (68,3)

A: We have to find the equation of the parabola given 3 points using the quadratic formula. The three…

Q: Complete the square to write each in vertex form. Then identify the vertex. 1. a. f(x) = x² - 8x +…

A: Please see the below picture for detailed solution.

Q: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

A:

Q: 6. y = x + 6x + 4 Axis of Symmetry: Vertex: Sketch:

A: Consider the equation: y=x2+6x+4 Compare the given equation with standard equation, y=ax2+bx+cAfter…

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

A:

Q: Find the equation of the parabola given 3 points using quadratic formula. (-3,38) (25,51) (-1,65)

A:

Q: 12. (-2, 13), (1,-17), (7, 31)

A:

Q: 9x² +4y² –18x+16y-11=0

A: The given equation is  9x2+4y2-18x+16y-11=0

Q: 8. Write the parabola y- 6y + 16x + 25 = 0 in standard form.

A:

Q: 2. a. f(x) = 5x² + 40x + 77 b. y = 2r + 12x + 17 c. y = 2x – 8x + 1 d. y = 2x – 6x – 1 — 1

A: To write the vertex form of the given quadratic equations. Note that the vertex form of the…

Q: Write an equation (any form) for the quadratic graphed below -5 -4 -3 y = -2 5 4 3 2 =3 -4 -5 2

A:

Q: Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form…

A: