Write an equation whose graph consists of the set of points P(x, y, z) that are twice as far from A(0, −1, 1) as from B(1, 2, 0). Describe the geometric figure represented by the equation.

Q: y=-(x+2)(x-4)

A: Some manipulations are to be done to solve the above problem.

Q: Use a graphing calculator to graph the equation in the given viewing rectangle.

A: To graph the equation y=0.01x3-x2+5, first set the viewing rectangle by pressing th WINDOW button as…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: the given equation is: y=-x2+2 we have to sketch the graph of the equation and label the x and y…

Q: Which of the following points are on the graph of y = x3 - 3x + 1?(a) ( - 2, - 1) (b) (2, 3) (c) (3,…

A: y=x3-3x+1 a). Put x=-2 in y=x3-3x+1, we get y=-23-3-2+1=-1 Therefore -2, -1 is on the graph of…

Q: Find the points of intersection of the graphs of the equations.                         x − y = −5…

A: From x-y=-5 we get y=x+5 Then we plug it in the other equation and find x.

Q: Write the equation of the line that contains the poiit (8, -3) and is perpendicular to 4x -3y = 10.…

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Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given that: Sketch the graph of the equation, and label the x- and y-intercepts  for the…

Q: The graph of the linear equation x = -y %3D passes through the point: o (4.6, 0) o (0,-4.6) o (4.6,…

A: Given linear equation is          x = -y  Or we can write it as         y= -x  When x = 4.6, we get…

Q: Which point(s) lie on the graph of 3x 2y: 12? a) (6, 2) b) (-2, 3)

A: Solution a) If point lies on the graph, the point will satisfy the equation of the graph. Consider…

Q: Write an equation for the graph below in terms of x 5- 4- 2- -3 -2 -1 2 3 -3 -4 -5 y =

A:

Q: Find the points of intersection of the graphs of the equations.                            x2 + y2 =…

A: From equation (2), we have

Q: Write the standard form of an equation for the graph described Line passing through (-4, -1) and…

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Q: A) Using (0,0) for the location of the National Geographic Museum, write a linear equation for the…

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Q: Find the points of intersection of the graphs of the equations                             x2 + y2 =…

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Q: Determine whether the graph of the equation is symmetric with respect to the y -axis, the x -axis,…

A: Given query is to find the axis of symmetry for the function.

Q: Determine which of the points (–1, –5), (4, 32), or(9, 171) are on the graph of the equation y = 3r²…

A: y=3x2-8x

Q: Write an equation for the graph below in terms of a 4 -3 -2 -D4 y = 2.

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Q: ketch and identify the

A: Given,          x236+y216=z

Q: Find the equation that is represented by the graph (4,1)

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Q: Use a graphing utility to graph the equation 3x2 - 6xy + 3y2 + 10x - 8y - 2 = 0.

A: Given: 3x2 - 6xy + 3y2 + 10x - 8y - 2 = 0.

Q: Write an equation for the graph below in terms of a 4 -3 -2 -4 -5+ y =

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Q: Find the quadratic equation that fits the following set of data points. {(2, – 7),(5,29),(-1,11)}…

A: Given points (2,-7), (5,29) and (-1,11)

Q: Determine whether the given points are on the graph of the equation. x² + y² = 9; (0, 3), ( · (√₂·…

A: To determine the points are in the graph of the equation we just put the points on the left hand…

Q: Where does the graph of the line y = x-2 intersect the x-axis? OA (0, 2) O B. (2,0) O C. (0,-2) D.…

A: Given that:- The line y = x-2 To find:- At which the point does the straight line intersect x-axis?…

Q: Which equation best represents the relationship between x and y in the graph? -9-8-7-6-5 -2 2. 56 -1…

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Q: Show that the points A(1,2) B (-1 , -16 ) and C (0 , -7 ) .Lie on the graph of the linear equation…

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Q: Determine if the following points are on the graph of the equation 2x-y=6 . (a) (2,3) (b)(2, -2)

A: The given equation is 2x-y=6

Q: Determine whether the graph of the given equation is symmetric with respect to the x-axis, the…

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Q: Find the equation of the graph of all points which are three times as far from A(3, – 1,2) as far…

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Q: Determine which of the given points are on the graph of the equation.

A: The given equation is x2+4y2=4 The given points are 0,1;2,0;2,12

Q: The graph of the linear equation x = y passes through the point: о (9.6,0) O (0,9.6) O (0,-9.6) O…

A: The graph of x=y passes through the point whose both the coordinates are same.

Q: Determine the intercepts on the graph of the equation. f(x) = 9x O (0, 0); (0, 9) O (1, 0); (0, -9)…

A: For x- intercept, f(x) = 0 So, 9x= 0 => x= 0 i.e., (0, 0). For y- intercept, x=0. So, f(x) = 0…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given:                    x2+y2−8x=0

Q: Describe the graphs of the equations in Exercises 3 and 4. 3. x2 + y2 = 1 4. x2 + y2 <= 3

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Q: Find the y-intercepts: O (-1,0) and (3,0) O (5,0) and (0,-2) O (0,5) and (0, -2) O (0.-1) and (0,3)

A: Remember that y-intercept is the point on the graph where the curve cuts y-axis. i.e. ( 0 , f(0) )…

Q: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

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Q: Use a graphing utility to graph the equation: 3x2 - 6xy + 3y2 + 10x - 8y - 2 = 0

A: Given, 3x2-6xy+3y2+10x-8y-2=0 The graph of the given equation is,

Q: Find the quadratic equation that fits the following set of data points. {(4,111),(5,179),(-3,83)}…

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Q: In Exercises 37–38, graph the two equations and find the points at which the graphs intersect. 37. y…

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

Q: Which point(s) lie on the graph of 5x a) (4,- 3) 4y = 32? b) (8, 1)

A: Which points lie on the graph of 5x- 4y = 32 a) (4, -3) b) (8, 1) If a point lies on  a straight…

Q: y-intercept

A: In this question, we find the y-intercept (b) of a straight line that passes through the coordinates…

Q: Find the points of intersection of the graphs of the equations                             x2 + y =…

A: Given equations are By subtracting second equation from first equation, we get

Q: 104 2 -10 -8 -6 -4 -2 2 4 6 8. 10 -2 -4 hp 4-

A:

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given: x = 2y2-4 To sketch: The graph of the given equation and to label the x - and y - intercepts.…

Q: Write the equation for the axis of symmetry that is perpendicular to the x axis, vertex= (3,-2),…

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Q: LAU Select the graph of the linear equation: x = 3 O O O P T 2 ry 2 2

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Q: Acellus Find the equation of the line passing through the points (6,3) and (-4,3). y = [ ? ]

A: topic -equation of line equation of line is y=3 as line is parallel to x axis

Q: Write an equation for the graph below in terms of x 5- 4- -2 -3 -4 -5+ y = 2.

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Q: In Exercises 37–38, graph the two equations and find the points at which the graphs intersect. 37. y…

A: (37) The two equations of the graph are Now, to find intersection points solve both equations…