I need help with this math question. It's for algebra!

Question

Find the distance  between the points A (8,2) and B (3,9) . Round your answer to the nearest tenth, if necessary.

Thank you for the help!

~Reagan

Answer 1

Hi Reagan,

Distance between two pints is given as

D² = Xa²- Xb² + Ya² -Yb²

^{Now plug in}

^Xa=8

Xb =3

Ya=2

Yb =9

D² = ( 8- 3)² +( 2-9)² = 25 +49 = 74

D² = 74

D = 8.6

Answer 2

distance squared = sum of difference of x coordinates squared plus difference of y coordinates squared

d^2 = (8-3)^2 + (2-9)^ = 5^2 + (-7)^2 = 25 + 49 = 74

d = sqr74 = about 8.6

just use a calculator fo find the square root of 74

8 squared is 64, 9 squared is 81, 8.5 squared = 72.25

81-64= 17. half 17 is 8.5. 8.5 is about in the middle, but you want sqr74, so up it to 8.6

just a rough approximaation, but it's accurate

there's also a long hand way, like long division to find a square root.

but the calculator, hand held or online works best