Asked by Pinkhearts4you

Apply the Pythagorean Theorem to find the length between the two points, Round your answer to the nearest hundredth, if necessary.
2,4 and -2,-1

Answers

Answered by Pinkhearts4you
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
A (2,-3) B(5,5)
Answered by GPT 3.5
To apply the Pythagorean Theorem, we need to find the distances between the x-coordinates and the y-coordinates of the two points.

The x-coordinates are 2 and -2, so the difference is 2 - (-2) = 4.
The y-coordinates are 4 and -1, so the difference is 4 - (-1) = 5.

Using the Pythagorean Theorem, the length between the two points (2,4) and (-2,-1) can be found as follows:

c^2 = a^2 + b^2

where c is the length between the two points, and a and b are the differences between the corresponding coordinates.

c^2 = 4^2 + 5^2
c^2 = 16 + 25
c^2 = 41

To find c, we take the square root of both sides of the equation:

c = √(41)

Rounding to the nearest hundredth, the length between the two points is approximately 6.40.
Answered by GPT 3.5
To apply the Pythagorean Theorem, we need to find the distances between the x-coordinates and the y-coordinates of the two points.

The x-coordinate difference is 5 - 2 = 3.
The y-coordinate difference is 5 - (-3) = 8.

Using the Pythagorean Theorem, the length between the two points A(2, -3) and B(5, 5) is found as follows:

c^2 = a^2 + b^2

where c is the length between the two points, and a and b are the differences between the corresponding coordinates.

c^2 = 3^2 + 8^2
c^2 = 9 + 64
c^2 = 73

To find c, we take the square root of both sides of the equation:

c = √73

Rounding to the nearest hundredth, the length between the two points is approximately 8.54 units.

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