What is the center and radius of the sphere whose equation is (x + 1)2 + y2 + (z + 4)2 = 5? (-1, 0, -4) and 5 O (1, 0, 4) and V5 O (-1, 0, 4) and /5 O (1, 0, -4) and V5

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: 7) What is the equation of the parabola below? (-1,3) (4,0) -5 A) y= -(x+ 1)2 + 3 B) y 1)2 - 3 C)…

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Q: sketch y+3x =9 in two dimensional and three dimensional space

A: sketch y+3x =9 in two dimensional and three dimensional space

Q: Find the distance between the points whose coordinates are given (48,32),(44,20) Although i do know…

A: Find the distance between the points whose coordinates are given (48,32),(44,20)

Q: What is the reflection over the y-axis of (-7,8)

A: Given  Point : (-7,8)

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: write the equation of the quadraticfunction whose graph is a parabola containing the givenpoints

A: Let the equation of the quadratic function be: fx=y=ax2+bx+c This function passes through the points…

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

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Q: the center and foci of the followin 4x^(2)+8y^(2)-16x+32y+32=0

A: Given,              4x2+8y2-16x+32y+32=0. To find the center and foci of the given equation.

Q: Find the midpoint of CD. M = (×¹±×²¸ Y¹+y²) X1+X2 2 2 C = (9,2) and D= (-7,-9) (1₁-) Notice that the…

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Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: Q3) find the direction of A= 4i + 3/ + 12K (1) point

A: From the given problem:   A=4i+3j+12k   As we know that the direction of the vector is:   n^=A→A…

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

A: Here we need to find whether these points are collinear or not the points are , then

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

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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: 19) Find the distance between these two points. (-8, 5) and (15, -9) Use the formula: d = square…

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Q: What is the equation for the following quadratic in the form y= ax^2 +bx +c

A: y=ax2+bx+c The given equation intercept the x axis at -3,0 and 9,0 The equation passes through 3,6…

Q: Find the equation of the parabola y = ao + a₁ + a2x² that passes through the points (-1 -9), (0,…

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Q: ress 3x² + y² + 2z² + 6x – 4y

A: Given,            3x2+y2+2z2+6x-4y-12z+26=0

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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Q: Find the equation of the cubic that best fits the given points: (-3, 1), (0, -1), (2, 5), (4, 2),…

A: X Y -3 1 0 -1 2 5 4 2 5 0

Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

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