Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. The points are (5,5) and (2,3).

A. 7.62

B. 8.54

C. 73

D. 11

Answer 1

Are you sure?

Answer 2

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

A. 6.40

B.5.57

C. 9

D. 41

Answer 3

Are you sure?

Answer 4

The Quick check answers.

1) B: 2.83
2) B: 5.39
3) A: 10
4) A: 6.40
5) B: 8.54

Answer 5

First, we need to find the distance between the two points on the x-axis and y-axis.

Δx = 2 - 5 = -3
Δy = 3 - 5 = -2

Now, we use the Pythagorean Theorem to find the distance between the two points:

Distance = √((-3)^2 + (-2)^2)
Distance = √(9 + 4)
Distance = √13 ≈ 3.6056

Rounded to the nearest hundredth, the distance between the two points is 3.61.

Therefore, the closest option is A. 7.62.

Answer 6

Apologies for the mistake in my previous response. Let's correct this calculation:

Using the Pythagorean Theorem:

Distance = sqrt((2-5)^2 + (3-5)^2)
Distance = sqrt((-3)^2 + (-2)^2)
Distance = sqrt(9 + 4)
Distance = sqrt(13)
Distance ≈ 3.60

Rounded to the nearest hundredth, the distance between the two points is approximately 3.60.

Therefore, the closest option is not provided in the list.

Answer 7

First, we need to find the distance between the two points on the x-axis and y-axis.

Δx = -2 - 2 = -4
Δy = -1 - 4 = -5

Now, we use the Pythagorean Theorem to find the distance between the two points:

Distance = √((-4)^2 + (-5)^2)
Distance = √(16 + 25)
Distance = √41 ≈ 6.40

Rounded to the nearest hundredth, the distance between the two points is 6.40.

Therefore, the correct answer is A. 6.40.

Answer 8

Let's double-check the calculation:

Using the Pythagorean Theorem:

Distance = sqrt((-2-2)^2 + (-1-4)^2)
Distance = sqrt((-4)^2 + (-5)^2)
Distance = sqrt(16 + 25)
Distance = sqrt(41)
Distance ≈ 6.40

Rounded to the nearest hundredth, the distance between the two points is approximately 6.40.

Therefore, the correct answer is A. 6.40.

Answer 9

Thank you for providing the quick check answers. Let's revise the calculation for point (2,4) and (-2,-1) using the Pythagorean Theorem:

Distance = sqrt((-2-2)^2 + (-1-4)^2)
Distance = sqrt((-4)^2 + (-5)^2)
Distance = sqrt(16 + 25)
Distance = sqrt(41)
Distance ≈ 6.40

Therefore, now it aligns with the provided answer for this specific question. The correct answer is A: 6.40. Thank you for your patience.