Apply the Pythagorean Theorem to find the length between (5, 5) and ( 2, −3) . Round your answer to the nearest hundredth, if necessary.(1 point)

Answer 1

To find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane, we can use the Pythagorean Theorem formula:

d = √[(x2 - x1)² + (y2 - y1)²]

In this case, the points are (5, 5) and (2, -3):

x1 = 5, y1 = 5
x2 = 2, y2 = -3

Now we plug the values into the formula:

d = √[(2 - 5)² + (-3 - 5)²]
d = √[(-3)² + (-8)²]
d = √[9 + 64]
d = √73
d ≈ 8.54 (rounded to the nearest hundredth)

Therefore, the distance between the points (5, 5) and (2, -3) is approximately 8.54 units.