Question

Apply the Pythagorean theorem to find the the length between (-1, 6) and (5, -2) round your answer to the nearest hundredth if necessary

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the distance between the two points (-1, 6) and (5, -2), we can use the Pythagorean theorem.

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 horizontal distance between the two points is 5 - (-1) = 6 units, and the vertical distance is -2 - 6 = -8 units.

Using the Pythagorean theorem, we can calculate the distance between the two points:

distance = sqrt((5 - (-1))^2 + (-2 - 6)^2)
= sqrt(6^2 + (-8)^2)
= sqrt(36 + 64)
= sqrt(100)
= 10 units

Therefore, the distance between the points (-1, 6) and (5, -2) is 10 units.