Question

Find the distance between the pair of points. (6,16) and (-22,12)​

Answer 1

Answer:

28.3 units (3 s.f.)

Step-by-step explanation:

$\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }$

Using the formula above,

distance

$= \sqrt{[6 - ( - 22)]^{2} + (16 - 12) {}^{2} }$

$= \sqrt{(6 + 22) {}^{2} + {4}^{2} }$

$= \sqrt{ {28}^{2} + 16 }$

$= \sqrt{784 + 16}$

$= \sqrt{800}$

= 28.3 units (3s.f.)