Question

Find the distance between (2,3) and (-4,9). If you get a radical (square

Answer 1

Answer:

Length is 6√2 units or 8.49 units

Step-by-step explanation:

Length formular:

$length = \sqrt{ {(x _{2} - x_{1}) }^{2} + {(y_{2} - y_{1})}^{2} }$

x1 is 2

x2 is -4

y1 is 3

y2 is 9

$length = \sqrt{ {( - 4 - 2)}^{2} + {(9 - 3)}^{2} } \\ \\ = \sqrt{ {( - 6)}^{2} + {6}^{2} } \\ \\ = \sqrt{36 + 36} \\ = \sqrt{2 \times 36} \\ = \sqrt{2} \times \sqrt{36} \\ { \boxed{ \boxed{= 6 \sqrt{2} }}} \\ = 8.49 \: units$