23 What are the coordinates of the center of a circle whose equation is ** +y - 16x + 6y+ 53 = 02 1) (-8,-3) 2) (-8, 3) 3) (8,-3) 4) (8, 3)

Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

A:

Q: Show that the points form the vertices of the indicated polygon. Right triangle:    (4, -2), (8,…

A: Distance between two points: The distance between the two points (x1, y1) and (x2, y2) is given by,…

Q: What is the equation of a circle that has center located at (- 2, 0) and passes through the point…

A: Solution: The objective is to find the equation of a circle that has a centre located at (- 2, 0)…

Q: 6. Determine the distance from the point (2, -1, 5) to the plane 3x - 3y + 5z = 8.

A:

Q: In Exercises 31–40, write the standard form of the equation of the circle with the given center and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. Find the exact value of the distance between the line of intersection of the planes 2x - y + 2z =…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: Prove that (0, -2), (-4, 8), & (3, 1) lie on the circle with center (-2, 3)

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Q: The line through the points (−3, 8,−4) and (1, 0, 8) intersects the yz-plane at _____.

A: We know that equation of line which passes through two pointsx1,y1,z1,x2,y2,z2 is given by…

Q: Is Span({(4,–10, 6), (-6, 15,–9)}) a line or a plane in R³? Why?

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Q: Postulate 12 states that if two points lie in a plane, the line that contains them lies in the…

A: We need to determine whether the given statement is true or false. Postulate 12 states that if two…

Q: What are the coordinates of the point on the directed line segment from (-10, 4)(−10,4) to (-5,…

A:

Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

Q: Show that the distance between the two points z1 and z2 in anArgand diagram is | z1 - z2 | .

A: Argand diagram:  1 It is a plot of complex numbers as point.  2In the complex plane using…

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) → (0.5x, 0.5y)? O…

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Q: find the distance in space between the points (5,3,-2) and (0,0,1)

A: Use distance formula between two points

Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x)…

Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2, –2). What are the coordinates of the…

A: Note: Dilation with Center at Origin, (0,0): DO, k(x, y)=(kx, ky), O=center of dilation at (0, 0);…

Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

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Q: Find the point of intersection of the line through (1, -5, 1) and (5,-12, 6), and the plane given by…

A: we know that equation of line which passes through two pointsx1,y1,z1,x2,y2,z2 is given by…

Q: Find the number of points in the xy-plane with integer coordinates located at a distance 5 from the…

A:

Q: 2. Prove that (0, -2), (-4, 8), & (3, 1) lie on the circle with center (-2, 3).

A: We can use one of the given points to compute the radius and after that plugin each of the two other…

Q: 2. Obtain an equation for a plane 7 that includes straight line(2"--5) and point(-2,1,1).

A:

Q: | 2. Find the radius of this circle. -2 -9 8 -7 -6 -5 -4 -3 -2 -1 0 -1- -2 -3 -4 -5 -6 O 8V5

A: Here, from the given graph: The center of the circle is at (-4,-2)

Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

Q: Datermine whether the graphs of y = 7x + 2 and 7x – y = 0 are parallel, perpendicular, or neither. v…

A: The slope-intercept form of a line is given by y=mx+c, where m is the slope of the line and c is the…

Q: 3. Through the point (4, -5, 20) and perpendicular to the plane x + 3y – 6z - 8 = 0.

A:

Q: The equation of a circle with center (2,8) and radius 10 is O (2- 2)+ (y- 8)' = 10 O (2 + 2) + (y-8)…

A: Equation of a circle with centre (a,b) and radius r is given by (x-a)2+(y-b)2 = r2 here a = 2 b = 8…

Q: . Find an equation of a plane passing through the point (3, 4. 0) and containing the line of…

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

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Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) (0.5x, 0.5y)? O (-7,…

A: Given coordinate of point ( -14 , -24 ). dilation is , ( x , y )→ ( 0.5x , 0.5y )

Q: 5. Parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,-4) over the line y = x ty 6.…

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Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: quadrilateral

A:

Q: A circle with radius 4 and center (-1,3)

A: Topic = Circle

Q: The line passes through the point(7, 8, 9) and is parallel to the xz-plane and the yz-plane. 7,8,1 +…

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Q: What are the coordinates of the point on the directed line segment from (- to (10,-2) that…

A: the given points are: (-4,-10), (10,-2)If (x,y) be the coordinate of the point than partition the…

Q: What are the coordinates of the point on the directed line segment from (-8, 2)(−8,2) to (7,…

A: We have to find the coordinates of partition.  For this we will use the section formula

Q: Find the points at which the line that passes through (–6,6,4) and (12,–6,2) intersects the three…

A:

Q: Find a plane containing the point ( - 5, - 5, 2) and the line r(t) = (1, - 2, 1) + t(4, 7, 5).

A: First you will find the normal vector to the plane and then find the value of the constant d

Q: Find a plane containing the point (-7,-3,-2) and the line of intersection of the planes 3x – 2y – 3z…

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Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

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Q: Sketch the graph of -x + 9y² – 4z² = 36 and identify the surface. %3D

A: Given a function in terms of x, y and z. Here x and y are independent variables and z is a dependent…

Q: A radio signal can transmit messages up to a distance of 5 km. If the radio signal's origin is…

A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: suppose a circle has a center (8,-8) and passes through the point (-3,-3) what are the y intercept.

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Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y -z = -2?

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Q: Draw a circle with center ( 3, 1 ) and radius of 2. 5 4 3 2 1 -5 -4 3 4 5 -4 -3 -2 -1 Clear All…

A: We have to draw the circle with center(3, 1) and radius  of 2.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.