A cell phone tower is located at (5,-2) on a coordinate plane with units in kilometers. What is the standard form of the equation of the outer boundary of the region serviced by the tower if it is designed to service a 8-kilometer radius? Is a subscriber at (7,8) within the service range of the tower?

Q: The equation of a line of passage to the point (3,3) and is parallel to the line y=1/2x+2 is?

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Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: A straight conncecting street segment is built perpendicular to an existing street with equation y =…

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Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

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Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: Find the distance between the points A = (2, 0, (2, 0, 1) and B = (4, 5,-2)-

A: Given that two points   A =2, 0, -1     and   B = 4, 5, -2      If two points were given, then…

Q: Find an equation of the line passing through the point(1,6) that is parallel to the line y=5/9x+7

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Q: Find the equation of locus of a point, the difference of whose distances from (-5, 0) and (5,0) is 8

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Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: What is the general Cartesian equation of the line that intersects the X axis at the point (9,0) and…

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Q: Find the equation of the locus of a point, the difference of whose distance from (-5,0) and (3,0) is…

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Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

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Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: Find an equation of the plane that passes through the point (8, -6, 4) and contains the line given…

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Q: What is he symmetric equation of the line that passes through the points (3, 0, 11) and (2, 6, 7)?

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Q: What are the x,y coordinates of the lowest point of the valley and what is the elevation at that…

A: Given, fx,y=-2000+0.004x-10002+0.001y+10002. It has been asked to find the lowest point of the…

Q: What is an equation of the line that passes through the point (1,3) and is perpendicular to the line…

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Q: Find the equation of the line perpendicular to y = 9 through the point (4, – 8)

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Q: What is the distance between the line with Cartesian equation x-2 = y-8 = z-3 and the line with…

A: If first equation of the line parallel to the vector V1 through the point P1 and the second equation…

Q: Find the equation of a line perpendicular to −4x+y=−5 that contains the point (−5,1).

A: We have to find the line perpendicular to y=4x-5 and passing through (-5,1)

Q: Find the equation of the parallel line to y=2x+3 that passes through the point (1,4)

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Q: Find an equation of the plane that passes through the point (6, -4, 3) and contains the line given…

A: Find an equation of the plane passing through the point (6,-4,3) and contains the line x2=y-4-1=z.

Q: Mark and his mother stood on their newly-bought rectangular lot whose length and width are 60 and 40…

A: Length of the rectangle is 60 m and width is 40 m. Let, the given coordinate is A-30,20.

Q: Find the distance between the line 3x − y = 0 and the point (2, −4).

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Q: The distance from the point (2,1) to the line  4x-3y+5=0 is

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Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

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Q: Find the midpoint between the coordinate points (1, - 4) and (4, 0).

A: We can solve the problem by the formula of obtaining midpoint.

Q: Find the equation to the locus of a point such that its distance from the point (3,0) is three times…

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Q: Find the equation of the line that passes through the point (3,6) and is perpendicular to the line…

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Q: 9. Find the equation of the locus of a point, the difference of whose distance from (-5, 0) and(3,…

A: Suppose the point (x,y). The distance between (x,y) and (-5,0) is: (x+5)2+y2 And, the distance…

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: Find the equation of a line perpendicular to 4x−y=4 that contains the point (−2,−2).

A: It is equation of normal line .

Q: Find the distance between points P1(0, 0, 0) and P2(-6,-2,5).

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: Find the equation of a line tangent to the circle x² + y² + 2x-4y-31 = 0 at the point (5,2). Draw…

A: Equation of tangent line to circle

Q: Find the line L passes through the point (-2,2) and perpendicular to the line L`: 2x +y = 4.

A: Given, The line L passes through the point -2, 2 and perpendicular to the line 2x+y = 4    We have…

Q: What is the distance between the line with Cartesian equation x-5 = y-9 = z-3 and the line with…

A: The given equations of lines are: x-51=y-91=z-31 and x-81=y-131=3z-41

Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

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Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: Find a parallel line that passes through the given point (3, 4); y = 2x 7 O y = 2x +2 O y = 1/2x + 2…

A: We have to find

Q: What is the distance between the line with Cartesian equation x-1 = y-6 = z and the line with…

A: Explained below

Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given…

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Q: Find equation of the line Passes through the Peint (-3,2,-1)-and parallel te the lineof intersection…

A: Given that: The given point is: (-3, 2, -1)The planes are: π1: x+2y+z=8 and π2:x+y-z=2

Q: 4) Find the equation of the straight line passing through the point (15, 16) and parallel to the…

A: Solution -  General solution of a straight line is given by -  y=mx+C…

Q: .Which equation represents the line that passes through the point (5, 7) and is parallel to the…

A:

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.