Give the coordinates of the point (12, 15) reflected over the x-axis. (-12, -15) B (12, 15) © (12, -15) (-12, 15)

Q: Find a point equidistant from the points (3,2) and 5,-1)

A: Let the coordinates of the required point be x and y.

Q: What is the distance between the points A: (-2, -4) and B: (-4, -2)?

A:

Q: Find the coordinates of point X which is: 3 a 5 units from (1, –5) in the direction 4 -3 b 6 units…

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Q: Find the distance between points (x1,-X3, X2) and (x2, 45°, x1)

A: Given

Q: Find the point on the line 5x + y = 9 that is closest to the point (-4, 1). (х, у) - =

A:

Q: The midpoint between the points (6, -7, -2) and(-2, 1, 4) is

A: The solution of the problem is given in the next step.

Q: Find the point on the line 3x + y = 6 that is closest to the

A: Explanation and solutions is given below....

Q: Find the coordinates of the image of the point (-22) when it is reflected across the line y-7 O…

A: Given that the line y=7 and the coordinates whose image has to be found is (-2,2) Let A be the…

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 2).

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 - 0.005x - 0.01y4,…

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Q: Find the distance between the two points: (2,8) and (8,-4) distance =

A: Consider the given points as A(x1,y1) = (2,8), B(x2,y2) = (8,-4).

Q: Find an equation of the line that passes through the points. Then sketch the line. (4, 3), (0, −5)

A: The given points are (4, 3), and (0, −5)

Q: A) Find the nearest distance from the point (-4,2) and the line 2x-y 5

A: Nearest distance is the perpendicular distance from the point to the line.

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: Find a point on x axis which is equidistant from A(2,-5) and B(-2,9)

A:

Q: Find the distance between the points (-3,0) and (3,1)

A:

Q: Find the distance between the points (-2, 2) and (2, 5)

A:

Q: Find the exact distance between the points (- 3, 4) and(2, - 1).

A: The given points are (- 3, 4) and (2, - 1). The objective is to find the distance between the…

Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: Identify the new coordinates of (-4, 1) after a reflection across the y-axis. y 10- 8- 6- 4+ ((6, 1)…

A: Given  Coordinate (-4,1)

Q: The line parallel to y=-x-2, passing through the point (–4, 2).

A:

Q: Suppose A(-9, -8) and B(-4, -6). What is the x coordinate of the midpoint for AB?

A:

Q: Find the equation of the line that passes through the point (2,3) and make an angle of 45° against…

A: Given Line is : 3x-y+5=0

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 rectangular coordinates of the point P-). x-coordinate of P y coordinate of P(- )- 3

A:

Q: Find the midpoint between the pair of points. (3,0) and (-5,4)

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Q: Find the distance between the pair of points.1) (3, 2) and (-3, -5)

A:

Q: Determine

A:

Q: Find the equation of the line that passes through point (1,3) and is rpendicular to the that passes…

A: Calculate the slope m for line passing through (-3, 8) and (5, -7).…

Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ (-6, 1)(-4, 1)2+ 4…

A: Given,  The coordinates of point -4, 1  We have to write the coordinates of point -4, 1 after a…

Q: Find the distance between each pair of points: а) (-3, —7) and (2, 5) b) (0, 0) and (-2, 6) с) (-а,…

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

Q: Find the point on the line 2x + y = 7 that is closest to the point (−3, 2).

A: We use Given Equation and Point find the point on the line. We draw a perpendicular line from  given…

Q: Find the coordinates of the image of the point (-2, 2) when it is reflected across the line y-7 O(2…

A:

Q: through: (-3, 3), parallel to y = - -4 3

A: Actually i am supposed to Solve single questions. So I solved first question. According to barteleby…

Q: Find the values of δƒ/δx and δƒ/δy at the point (4, -5) ifƒ(x, y) = x2 + 3xy + y - 1.

A: ddxxn=n xn-1

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 point on the line 2x + y = 6 that is closest to the point (−4, 3).

A:

Q: Find the point on the line 3x+y=9 that is closest to the point (-4,1). (X,y)=?

A: Closest point is (x, y) =(2, 3)

Q: Find the distance between the points (4, -2) and (-1, 10).

A: We have to find the distance between the points: 4, -2 and -1, 10. We know that if we have two…

Q: Find an equation of the line that passes through the points. Then sketch the line. (2, 8), (5, 0)

A: To find the equation of line passes through points 2,8 and 5,0. Equation of line passing through…

Q: Find the point on the line 2x + y = 5 that is closest to the point (−4, 3).

A: See the details solution in below

Q: find the distance between the points (-2,3) and (-4,1)

A:

Q: Find the point on the line 6x+y=9 that is closest to the point (-3,2)

A:

Q: Using the rule (x, y)-(-y, x) find the image points: A(2, 3) B(-5, 6) C(-1,-3) B'(, ) C(, ) A'(, )

A: 30. Using the rule (x,y)→(-y,x) Find the image pointsA(2,3)       B(-5,6)…

Q: parallel to -2x+3y=7 and passing through the point (6,4)

A:

Q: Plot the points (– 5, – 1), (– 1, – 3), (4, – 4), (0, – 5) onto the coordinate plane below. 4 -6 -5…

A: The value of x is positive in the first and the fourth quadrant and negative in the remaining…

Q: Determine the coordinates of the point which is 3/5 of the way from the point (2, -5) to the…

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Q: Find the distance between the points (14, -16) and (14,3)

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Q: equation

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.