Question

Which of the following is equivalent to the distance between the points  (1,3)  and  (-2,4) ?

2√ 10

√ 6

√ 10

√ 109

Answer 1

The answer is C. √10

The way you solve this problem is using the distance formula which is as follows:

`\sqrt{ (x_(2)-x_(1))^2 + (y_2-y_1)^2 }`

All you have to do to solve then is simply plug the numbers into the formula:

`√( (-2-1)^2 + (4-3)^2 )`

And the rest is just a matter of following PEMDAS:

`√( (-3)^2 + (1)^2 ) √(9+1) √(10)`