Find the distance between the given points

(3, 5) and (8, 2)

(8-3)^2 + (2-5)^2

5^2 + -3^2

25 + 9 = 34 sqrt of 34 = 5.83

your presentation is considered "poor form"

Proper way:

distance = √((8-3)^2 + (2-5)^2 )
= √( 5^2 + (-3)^2)
= √(25+9)
= √34

Reiny,

I know that my presentation is poor form. I only know how to work this in MS Word the right way. Is my answer supposed to d=sqrt 34 or d=5.83?

Same thing, after rounding off. I would prefer the exact answer of Reiny

To find the distance between two points, you can use the formula for distance in a Cartesian plane. The formula is the square root of the sum of the squares of the differences in the x-coordinates and the y-coordinates.

In this case, the given points are (3, 5) and (8, 2).

First, find the difference in the x-coordinates: 8 - 3 = 5.
Next, find the difference in the y-coordinates: 2 - 5 = -3.

Square both differences: 5^2 = 25 and (-3)^2 = 9.

Add the two squared differences together: 25 + 9 = 34.

Finally, take the square root of 34 to get the distance between the two points: √34 ≈ 5.83.

Therefore, the distance between the given points (3, 5) and (8, 2) is approximately 5.83.