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
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.
To apply the Pythagorean Theorem to find the length between two points, we need to calculate the distance between their coordinates.
Let's label the points as A(2, 4) and B(-2, -1). The coordinates of point A are (x₁, y₁) = (2, 4), and the coordinates of point B are (x₂, y₂) = (-2, -1).
The formula for the distance between two points (x₁, y₁) and (x₂, y₂) in a Cartesian coordinate system is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates of the points:
d = √((-2 - 2)² + (-1 - 4)²)
Simplifying:
d = √((-4)² + (-5)²)
d = √(16 + 25)
d = √41
Now, rounding the answer to the nearest hundredth, we get:
d ≈ 6.40
Therefore, the length between the points A(2, 4) and B(-2, -1) is approximately 6.40 units.
To find the length between two points using the Pythagorean Theorem, you need to know the coordinates of the two points. In this case, the coordinates of the two points are (2, 4) and (-2, -1).
Let's label the coordinates as follows:
Point 1: (x1, y1) = (2, 4)
Point 2: (x2, y2) = (-2, -1)
The formula for finding the distance between two points using the Pythagorean Theorem is:
d = √((x2-x1)^2 + (y2-y1)^2)
Substituting the values:
d = √((-2-2)^2 + (-1-4)^2)
Simplifying:
d = √((-4)^2 + (-5)^2)
d = √(16 + 25)
d = √41
Rounded to the nearest hundredth, the length between the two points is approximately 6.40 units.
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)
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.