Question

Apply the Pythagorean Theorem to find the length between (2,7)

and (−2, 0)
. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses

5.74
5 point 7 4

11
11

8.06
8 point 0 6

65

Answer 1

[AI-generated answer — Bot GPT 3.5]

The length between the points (2,7) and (-2,0) can be found using the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the x-coordinates of the two points (-2 and 2) can be considered as the two sides of the triangle, and the y-coordinates of the two points (0 and 7) can be considered as the other two sides.

Using the Pythagorean Theorem, we can calculate the length between the points:

Length² = (2-(-2))² + (7-0)²
Length² = (4)² + (7)²
Length² = 16 + 49
Length² = 65

Taking the square root of both sides, we get:

Length ≈ 8.06

Therefore, the length between the points (2,7) and (-2,0) is approximately 8.06 units.