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The distance is about 7.21 (square root of 52)

Using the Law of Pythagoras, just calculate the square root of (42 + 62). That is, calculate 42 + 62, then take the square root of the answer.

(Note: 62 is the same as (-6)2, so it doesn't matter if you change it to positive first, as I did.)

Q: What is the distance between the origin of a Cartesian coordinate system and the point 4 -6?

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7.62

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The distance is about 7.62 (units).sqrt (9 + 49) = sqrt 58 = 7.61577

Distance = sqrt(62 + 72) = sqrt(36 + 49) = sqrt(85) = 9.2195

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7.62

3

7

The distance is about 7.62 (units).sqrt (9 + 49) = sqrt 58 = 7.61577

Distance = sqrt(62 + 72) = sqrt(36 + 49) = sqrt(85) = 9.2195

About 7.81 units.r2 = x2 + y2r = sqrt(x2 + y2) = sqrt(36 + 25) = sqrt(61)

The center of the cartesian coordinate plane is called the origin and is located at the point (0,0), where the x and y axis meet.

The coordinate of (0, 0) is also called the origin on the Cartesian plane.

In 2-dimensions, the Cartesian coordinate system comprises a pair of axes meeting at right angles at a point called the origin. Conventionally the axes are identified as the x-axis (going from left to right) and the y-axis (going from the bottom to the top).Every point of the Cartesian plane is allocated an ordered pair of numbers, called coordinates. The first number (abscissa) represents the distance of the point to the right of the origin and the second (ordinate) represents the distance in the upward direction. If the point is to the left or below the origin then the corresponding coordinate is negative.

Using the Law of Pythagoras, you get square root of (62 + 72).The distance between the origin and the point ( -6, 7 ) is ~9.22To find the distance, we use the distance formula.c2 = a2 + b2This is an adaptation from the Pythagorean theorem. In this case, a is the difference in x coordinates; b the difference in y.The Cartesian origin is at ( 0, 0 ). So...c2 = ( -6 - 0 )2 + ( 7 - 0 )2c2 = -62 + 72c2 = 36 + 49c2 = 85c =~ 9.22

On the Cartesian plane it is at point of origin whose coordinate is (0, 0)

It is called The Origin. You can go to Wikipedia.com and get more information on The Origin.