Please correct my mistakes using the distance formula?

Question

1.find the distance between the points(2,-3)(5,-4)

1^2+3^2=c^2

1+9=c^2

10c^2

3.2=c

2.find the distance between the points(-1,-3)(5,0)

3^2+-6^2=c^2

9+36=c^2

45=c^2

6.7=c

Answer 1

They are both correct

Answer 2

√[ (5 - 2)² + (-4 -(-3))² ]

√[ (3)² + (-1))² ]

= 3.16227... ≈3.2

This one looks ok.

√[ (5 - (-1))² + (0 - (-3))² ]

= √[ (6)² + (3)² ]

= √45

= 6.7082... ≈ 6.7

If you rounded up to seven, then this one looks ok, too.

I would add, however, that the distance formula is  not technically the same thing as the Pythagorean theorem. You really should start out with the form

distance = √[ (x - xo)² + (y - yo)² ]

where the point (xo,yo) is where you start from, and the point (x,y) is where you want to go.

Answer 3

the distance formula is:

square root of all this: (x-x)^2+(y-y)^2

theyre correct