Convert the point (r, 6, 2) = (1, , – - 2) to Cartesian coordinates. Give answers either as expressions, or decimals to at least one decimal place. (x, y, z) =

Q: If the rectangular coordinates of a point are (4,-6) the point symmetric to it with respect to the…

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Q: What do coordinates mean?

A: Coordinates are set of points that defines exact position of a point in XY-plane.

Q: Find a plane through the points (1,-6,1), (-5,-2,3), (-4,5,-4). Write your answer in the form Ax +…

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Q: A point in the threedimensional coordinate system has coordinates             (x0, y0, z0). Describe…

A: When we have a three-dimensional space-XYZ. We take a point in the space that is represented by (x,…

Q: Eliminate the parameter t to find a Cartesian equation for: T = t and y = 4+ 2t. and express your…

A: Given that         x=t2  and  y=4+2t Here we have to eliminate the parameter t to find a Cartesian…

Q: Identify the following by getting rid of the parameter and write a cartesian equivalent: x =…

A: Consider  x=−2+3cosθ, y=5−3sinθ

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

A: Given  The co-ordinates of the given point =12,15

Q: Convert the point (r, 0, 2) = (1, (1,2,3) 3 to Cartesian coordinates. Give answers either as…

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Q: Convert the point (r, 0, z) = 5, 3 to Cartesian coordinates. Give answers either as expressions, or…

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Q: Convert the point (r, 0, z) = 37 5, 3) to Cartesian coordinates. Give answers either as expressions,…

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Q: With respect to right-handed Cartesian coordinates, let a = [2, 1, 0], b = [-3, 2, 0], c = [1, 4,…

A: Given: The vectors are a=2,1,0, b=-3,2,0, c=1,4,-2 and d=5,-1,3. To find: The value of the following…

Q: (s.) Convert the point (p, 0, 4) = 5, to Cartesian coordinates. Give answers either as expressions,…

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Q: If x and x are independent coordinates of a point, show that

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Q: If the rectangular coordinates of a point are (4, - 6),the point symmetric to it with respect to the…

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Q: Give the rectangular coordinates for the point. (8, 225°) O (-42, -42) O (-4T, -4T) (42, 42) O (-43,…

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Q: Find the Cartesian coordinates of the given point. O 1) (0, 1) 2) (1, 0) 3) (0, -1) 4) (-1, 0)

A: We need to find cartesian coordinates.

Q: Find the coordinates of the other point whose one end is (1,0) and its midpoint is (0,1)? O (1,-2) O…

A: Let's find.

Q: Draw the coordinate axes relative to u and v and locate w.

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Q: Which of the following is symmetric with respect to the x-axis, y-axis and the origin?* y = 16 – x4…

A: Explanation of the answer is as follows

Q: Convert the point (p, 0, ø) = (2, ,) to Cartesian coordinates. Give answers as decimals to at least…

A: We have the spherical coordinates, we want to find the corresponding Cartesian coordinate for the…

Q: On the coordinate plane, what is the coordinate pair that represents point A?

A: By graph we can see that  Coordinates that represents point A is (-2.5, 2.5)

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

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Q: Convert the point (r, 0, z) = 4, 2 to Cartesian coordinates. Give answers either as expressions, or…

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Q: Find the Cartesian coordinates of the given point. (8, 0) 1) (0, 8) 2) (-8, 0) 3) (8, 0) 4) (0, -8)

A: Given problem:- Find the Cartesian coordinates of the given point.   (8,0)

Q: Give the coordinates of a point such that if the coordinates are reversed, their location is the…

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Q: Determine whether x2 + 4y2 = 16 is symmetric respect to the x-axis, the y-axis, and/or the origin.

A: x2+4y2=16 Replace x by -x, we get ⇒-x2+4y2=16⇒x2+4y2=16 It is same as original equation. Therefore…

Q: Determine the XY-coordinates of the given point if the coordinate axes are rotated through the…

A: The given points (x,y) are (13,13) and the coordinate axes are rotated through the angle Φ=45o. To…

Q: Eliminate the parameter 1 to find a Cartesian equation for: x = t² and y = 4 + 2t. and express your…

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Q: Express the equation in rectençular coordinates

A: The given polar equation is r=asinθ. We have to write the given equation in the rectangular form.

Q: 4T 2π Convert the point (p, 0, 4) 3' 3 to Cartesian coordinates. Give answers either as expressions,…

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Q: n into cartesian coordinat

A: The polar equation is r=2rsin2θ+cosθ Convert into cartesian equation,  Use x=rcosθ , y=rsinθ. Apply…

Q: Determine whether the equation is linear in the variables x and y.(cot 5)x − y = 3

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Q: Eliminate the parameter t to find a Cartesian equation for: x = ? and y = 9 + 4t . and express your…

A: We are given that x=t2 and y=9+4t. Now,…

Q: Replace the Cartesian equation with equivalentpolar equations. y = 1

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Q: Eliminate the parameter t to find a Cartesian equation for: x = t^2 and y = 3 + 1t and express the…

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Q: The midpoint of AB is M (0, –4). If the coordinates of A are (-8, –7), what are the coordinates of…

A: To find the coordinate of point B. If the coordinate of point A and midpoint of line AB is given.

Q: Palocated at (8,-7), and Qslocated at (-4,-3) on the coordinate plane What coordinate represents the…

A: Mid point (x ,y) of (x 1 , y 1) and (x 2 , y 2) is given by x = (x 1 + x 2)/2 and y = (y 1 + y 2)/2

Q: Which of the following is symmetric with respect to the x-axis, y-axis and the origin? * y = 16 – x4…

A: Follow 2nd step.

Q: Convert the point (ρ,θ,ϕ)=(6,11π/6,π/2)to Cartesian coordinates. Give answers either as expressions,…

A: Convert given spherical polar coordinate in to Cartesian coordinate as follwing:-

Q: find the xy equation of all three sides of triangle ABC with verticies  A= (1,5)  B= (3, -1)  C=…

A: The given triangle is  now we have to find the equation of lines AB,AC,and BC

Q: The midpoint of AB is M(5, -2)M(5,−2). If the coordinates of AA are (6, -5)(6,−5), what are the…

A: Mid point of a line joining two points(x1, y1) and  (x2, y2) is given byMid point = x1+ x22,y1+ y22

Q: Solve for the orthogonal traectories y = x2- cX

A: The orthogonal trajectory is a curve that intersects each of the family's curves at a right angle.…

Q: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

Q: Give the Cartesian equation of the locus of points P(x, y) given that P is 5 units from the point…

A: Any point on the Cartesian plane is represented as x, y. The locus is a set of points on the…

Q: In general if the point of a pre-image is (x, y), what are the coordinates of the image?  Why?

A: Pre-image: An original object with co-ordinates (x, y). image      : An object obtained after…

Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6

Q: With respect to right-handed Cartesian coordinates, let a = [2, 1, 0], b = [-3, 2, 0], c = [1, 4,…

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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.