C'enter of the hyperbola x? + 4y? + 6xy + 8x 2y + 7 = 0 is - A. (1, 1) В. (0, 2) С. (2,0) D. None of these B.

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: The focus of the parabola defined by the equation x2 = 20 y is %3D (4, 5) (0, 0) O A. В. (0, 5)| (0,…

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Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Cоmрute (x + y) dz, where is the portion of the parabola C y = 4 – x2 from -2 to 1+3i.

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Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

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Q: Which of the following properties satisfy the parabola with equation x² + 6x + 8y = 7 O v(3,2);…

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Q: = 8. Find the equations of both the tangent lines to the hyperbola x² - 4y² 9 that pass through the…

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Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: Find the equation of the sphere of radius 8 centered at (1, 3, 6). O x² + y² +z² = 46 O x² + y² + z²…

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Q: 12. Expand and simplify. (5x + 3y)²-(4x + y) (6y - x) 13. The formula V = nr³h represents the volume…

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Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: 3 X -2 -1 0 1 2 y = 2x² - 4 y 12 X ^ -4 12. sy Is the point (5, 46) on this parabola? Justify your…

A: Given:Parabola, To Find: To complete the table and to graph the parabola.To determine whether the…

Q: -4, 0) Ay \ 2x (1, 0) -2 -2 (-1, 0) 4 (4, 0) 6' -3 1. 1 3 x 4 (2, 0) (-2, 0) 5. 4, 0) 4 2 6.

A: We have to find the intercepts of the x axis of the equation of the given graphs.

Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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Q: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: 10. Which equation represents the parabola that has been vertically stretched by a factor of 5,…

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Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

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Q: What is the equation of the parabola? 9. 8- -7. .... ··3· --2- ~3⋅ a) y=-1.5(x+2.5)²+2.5 b)…

A: To determine the equation of the parabola in the given graph, we need to identify the vertex and the…

Q: est to the point 2, 2

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Q: Find the equation of sphere that passes through the point (-2, -8, -2) and centered at (8, 7, 8).…

A: To find the equation of the sphere that passes through the point -2, -8, -2 and centered at 8, 7, 8.

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

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