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True or False. The rectangular coordinates of a point are unique?

Updated: 4/19/2021
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Q: True or False. The rectangular coordinates of a point are unique?
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True or False: The polar coordinates of a point are unique?

False


How do you convert polar to rectangular coordinates?

If the polar coordinates of a point P are (r,a) then the rectangular coordinates of P are x = rcos(a) and y = rsin(a).


For every point on the graph of Fx Is there is a point on the graph of F-1y with reversed coordinates?

False


true or false the value of theta represents the distance from a point to the pole when plotting a point in polar coordinates?

False


True or False; The value r represents the reference angle when plotting a point in polar coordinates?

False


Do rectangular coordinates have the same property as polar coordinates?

Some of them but not all. For example, uniqueness. The rectangular coordinates (x, y) represent a different point if either x or y is changed. This is also true for polar coordinate (r, a) but only if r > 0. For r = 0 the coordinates represent the same point, whatever a is. Thus (x, y) has a 1-to-1 mapping onto the plane but the polar coordinates don't.


How can you determine whether a point is a solution to system of equations?

You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not a solution.


What is the axes of a rectangle?

First, a coordinate. A coordinate is a number. It labels a point on a line.Second, a coordinate axis is a line with coordinates.to label a point in a plane (a flat surface), we need more than one coordinate axis, and we place a second at right angles to the first.Those axes are called rectangular coordinate axes, because they are at right angles to one another. The coordinates on them are called rectangular coordinates. They are also called Cartesian coordinates.


How complex quantity can be expressed?

Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.


Why can only one point on earth's surface have the same coordinates?

Because the cordinate system is set up to provide a unique reference to every point on the planet.


What do you need to use the point slope formula?

The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.


Does an equation allow you to find the x and y coordinates of any point on the xy plane?

Yes if it is a straight line equation