Find the distance between the points (8,5) and (-16,-2)

25

Step-by-step explanation:

Let A be (8,5) and B be (-16,-2).

Run lines down from A and along from B to make a right triangle.

Calculate the length of each side.

a = 8- (-16)

a = 8 + 16

a = 24

b = 5 - (-2)

b = 5 + 2

b = 7

Per Pythagoras

a² + b² = c²

576 + 49 = c²

625 = c²     Take the square root of each side

c = 25

The distance between the points is 25.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents