Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
To apply the Pythagorean Theorem, we need the coordinates of the two points. Without specific points, it is not possible to calculate the length between the two points. Could you please provide the coordinates of the two points?
To apply the Pythagorean theorem to find the length between two points on a coordinate plane, you need the coordinates of the two points. Let's suppose we have two points, A(x₁, y₁) and B(x₂, y₂).
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two sides would be the horizontal distance (x-coordinate difference) and the vertical distance (y-coordinate difference) between the two points.
Therefore, the formula to find the length (L) between the two points is:
L = √((x₂ - x₁)² + (y₂ - y₁)²)
To round the answer to the nearest hundredth, you can use the appropriate rounding method, such as rounding to two decimal places.
Now, simply substitute the given coordinates into the formula and perform the calculations to find the length between the two points.
To apply the Pythagorean theorem to find the length between two points, follow these steps:
1. Identify the coordinates of the two points. Let's say the coordinates of the first point are (x1, y1) and the coordinates of the second point are (x2, y2).
2. Determine the differences in coordinates between the two points. Calculate the differences between the x-coordinates (Δx = x2 - x1) and the y-coordinates (Δy = y2 - y1).
3. Square both differences. Calculate (Δx)^2 and (Δy)^2.
4. Sum the squared differences. Add (Δx)^2 and (Δy)^2.
5. Take the square root of the sum. Find the square root of the sum calculated in the previous step.
6. Round the answer to the nearest hundredth.
Following these steps will allow you to apply the Pythagorean theorem and find the length between the two points.
6,9 and 2,1
Using the Pythagorean Theorem, we can find the length between the points (6, 9) and (2, 1).
1. Identify the coordinates of the two points:
Point A: (x1, y1) = (6, 9)
Point B: (x2, y2) = (2, 1)
2. Determine the differences in coordinates:
Δx = x2 - x1 = 2 - 6 = -4
Δy = y2 - y1 = 1 - 9 = -8
3. Square both differences:
(Δx)^2 = (-4)^2 = 16
(Δy)^2 = (-8)^2 = 64
4. Sum the squared differences:
(Δx)^2 + (Δy)^2 = 16 + 64 = 80
5. Take the square root of the sum:
√(80) ≈ 8.94
6. Round the answer to the nearest hundredth:
The length between the points (6, 9) and (2, 1) is approximately 8.94 units.
is it correct?
Apologies for the mistake in my previous response. Let's recalculate:
Using the Pythagorean Theorem, we can find the length between the points (6, 9) and (2, 1).
1. Identify the coordinates of the two points:
Point A: (x1, y1) = (6, 9)
Point B: (x2, y2) = (2, 1)
2. Determine the differences in coordinates:
Δx = x2 - x1 = 2 - 6 = -4
Δy = y2 - y1 = 1 - 9 = -8
3. Square both differences:
(Δx)^2 = (-4)^2 = 16
(Δy)^2 = (-8)^2 = 64
4. Sum the squared differences:
(Δx)^2 + (Δy)^2 = 16 + 64 = 80
5. Take the square root of the sum:
√(80) ≈ 8.94
6. Round the answer to the nearest hundredth:
The length between the points (6, 9) and (2, 1) is approximately 8.94 units, rounded to the nearest hundredth.
Apologies for the confusion caused. The previous response is correct.