Find the x- and y-coordinates of the point C.

Q: Find the cartesian coordinate of the point P(r, 0) = (v/20, ÷). Plot the graph

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Q: Determine the point(s) on y=x2-1 that are closest the point (7,7)

A: Let (x, y) be the point on the given graph which is closest to (7, 7). Therefore the distance…

Q: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

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Q: Find all points on y-axis of the rectangular coordinate system that are a distance 6 from the point…

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Q: Determine whether the below statement is true or false. If the statement is false, make the…

A: The given statement is True . If a point is on y-axis then its x-coordinate must be zero .

Q: Find the equation of the line passing through the point (2, 3) and parallel to the x-axis.

A: Given that the line is parallel to x-axis it implies the slope of the line will be equal to zero.…

Q: ngent to the y axis and the center is

A: To determine the circle of equation tangent to y axis and center (5,8)

Q: Graph the line y y%3D +2 onto the coordinate plane below.

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Q: of

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Q: 5

A: Use the trigonometry ratios

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

Q: List the quadrant or quadrants satisfying the condition : x3 > 0 and y3 < 0

A: The given condition is x3>0 and y3<0.

Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

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Q: Find the cartesian coordinate of the point P(r, 0) = (3, ). Plot the graph 3

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Q: s reflected in the x-axis, then the

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Q: What will be the x-coordinate of Point C?

A: I have given an answer in step 2.

Q: find the equation of the straight line that passes through the points P(4,7) and Q(-12,7) in the…

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Q: Find the length of the curve Y 12x', 1<X< 2

A: Given curve is: Y=X55+112X3, 1≤X≤2 To find the length of the curve.

Q: x y2 4 y = - The axis is 0 = y in the third quadrant.

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Q: Find the point on the y-axis which equidistant from the point A (6,5) and B (-4,3)

A: Please refer to the image below

Q: about the y-axis

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Q: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: Ay -2

A: A line is generally an object in geometry that doesn't bend i.e. it has no curve. It is a collection…

Q: Find the point on the x-axis that is equidistant from the points (0,−1) and (5,−3)

A: To find the coordinates of the point satisfying the given conditions

Q: What’s the y coordinate of point C?

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Q: Sketch c(t) = (t3 − 4t, t2)

A: This is in parametric form. So we will convert it in normal form.

Q: Find the X and y Intercepts (a) ) V= Y%3DX+6

A: We have,  y = x + 6 At y-intercept x = 0: therefore, y = 0 + 6 = 6. At x-intercept y = 0: therefore,…

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: y = Vx, y = 0, and x = 81 is revolved about the line y = 9.

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Q: Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: The height y (in feet) of a ball thrown by a child is 1 x+2x +3 14 y 3= where a is the horizontal…

A: The height y (in feet) of a ball thrown by a child is y=-114x2+2x+3where x is the horizontal…

Q: y = 6x?, 1, and y 0, about the -axis.

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Q: The line shown above has an y-intercept of T

A: From the graph we can see that the line intersect the y-axis at y = 1

Q: the point z

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Q: Plot the given point in a rectangular coordinate : (-4, 0)

A: Here given coordinate as -4, 0 it means  x=-4 , y = 0

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: The point is located on the x-axis, 12 units in front of the yz-plane. Find the coordinates of the…

A: The point is located on the x-axis. Hence, y=0 and z=0. The point is located 12 units in front of…

Q: Find the equation of the line through the points G,1) and (0, 1). Write your answer in the form y =…

A: The points are given as 37,1 and 0,1 . Equation of line = ? We know that , If the points are Ax1,y1…

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) &amp; (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: Plot the given point in a rectangular coordinate : (3, -2)

A: we have to plot the given point in a rectangular coordinate : (3, -2)

Q: Which of the following is the y-coordinate for the point that lies on the line y=-3/4x+1 and has an…

A: substitute the  value of x .

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4

Q: Find the relationship between x and y such that the point (x.y is equidistant from the point (7,1)…

A: If a point say P is equidistant form two points say A and B then  PA =PB To see complete solution…

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.