Question

What is the distance between points S and U?

Answer 1

ANSWER

The correct answer is C.

$|SU| = 8.1units$


EXPLANATION

The given points are,
$S(2,1) \: \: and \: \: U(6,8).$


We use the distance formula to determine the distance between the two points.



$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$


We substitute the points to obtain,

$|SU| = \sqrt{(6- 2) ^{2} + (8 - 1) ^{2} }$

We simplify to obtain,

$|SU| = \sqrt{(4) ^{2} + (7) ^{2} }$



We further simplify this to obtain,

$|SU| = \sqrt{16 + 49}$



$|SU| = \sqrt{65}$

This evaluates to,

$|SU| = 8.062$



We round to the nearest tenth to get,

$|SU| = 8.1units$

Answer 2

Distance = sqrt((6-2)^2 +(8-1)^2)
sqrt(16 +49)
sqrt(65)
8.06
round to 8.1 units