Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 : x2 + 2y? + z2 – 8x + 12y – 2z + 35 = 0 - -

Q: x Y +8 -2x - 7y - 3z = 16. +t

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Q: Find the x- and y- intercept of 3x +3y=30

A: Given,          The equation is 3x+3y=30.

Q: Which of the following points can be a solution in graphing X +ys6? A (7,10) B (10,10) (10,7) D…

A: Here we want to find The points which are solution for given equation.

Q: Graph x2 - 4x + y2 + 10y - 7 = 0.

A: Given: x2-4x+y2+10y-7=0

Q: 9. Which equation is the general form of (x – 2)? – (y+ 5)? = 18? O 2? – y? – 4x – 10y = 1 O x2 – 3?…

A: →The expansion of (x-a)2 = x2-2ax+a2.→The expansion of (y+b)2 =x2+2by+b2

Q: The equation of the curve is y = x 2 + ax + b where a and b are integers. The points (0, -5) and (5,…

A: Given :y=x2+ax+b

Q: Determine the vertex of the function y=-2x2- 20x-51 O A) (2, -51) O B) (-5, -1) O C) (-2, -51) O D)…

A: Option (B) is correct.

Q: Reduce the equation 3x +6yz -y -z? -6x+6y-2z -2=0 to the standard form. |

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Q: Graph the functions 3x+2y-4=0 and show solution.

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Q: Find the quadratic equation whose graph has vertex (3, 1) and passes through the point (2, 0) using…

A: Given:- Find the quadratic equation whose graph has vertex (3, 1) and passes through the point (2,…

Q: Find the x-intercept and y-intercept of 3x+ 4y = 12.

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Q: Find the quadratic y ax²+bx+c that best fits the data points (-2,-43), (-1, 79), (0, −55), (1, −5),…

A: We have to find the quadratic y = ax2 + bx + c that best fits the data points (-2,-43), (-1,79),…

Q: In a game of cornhole, Sarah tossed a beanbag and it landed at the edge of the hole. The hole can be…

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Q: Q4. Find the domain of the equation x +5 y = Vx2 - 16

A: The given equation is y = x+5x2-16. We have to find the domain of the function, i.e., the set of…

Q: Find x - intercept and y-intercept of 2x-3y =6

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Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.

Q: The line y=9x-4 intersects the quadratic function y=x+7x-3 at one point. What are the coordinates of…

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Q: If (a, b) is a point on the graph of 2x + 3y = 6, write an equation that relates a to b.

A: Given a function relating two variables the value of the independent variable can be determined by…

Q: The line y=9x-4 intersects the quadratic function y=x2+7x-3 at one point. What are the coordinates…

A: Given query is to find intersection point.