Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.

Answer 1

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?

Answer 2

6,9 and 2,1

Answer 3

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.

Answer 4

is it correct?

Answer 5

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.