Question

What is the exact distance from (−5, 1) to (3, 0)?
A. square root of 63. units
B. square root of 65. units
C.square root of 67. units
D.square root of 69. units
I will mark brainliest and I really need this answer!

Answer 1

distance formula; 

d = √(x2 - x1)² + (y2 - y1)²           given two points, (-5, 1)  (3, 0)

d = √(3 - (-5)² + (0 - 1)²

d = √(8)² + (-1)²

d = √64 + 1

d = √65       B. is the answer.

hope this helps, God bless!

Answer 2

Use the Pythagorean theorem.
So:
|y2-y1|^2+|x2-x1|^2=distance^2
|0-1|^2+|3-(-5)|^2=distance^2
|-1|^2+|8|^2=distance^2
1^2+8^2=distance^2
1+64= distance^2
65=distance^2
√65= distance.
Therefore B is the answer.