Question

Find the distance between the points. Give an exact answer and an approximation to three decimal places.

Answer 1

Answer:

The distance between the points is $d=2\sqrt{5}\ units$   or $d=4.472\ units$  

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$(7,-3)\\(5,1)$  

substitute the values

$d=\sqrt{(1+3)^{2}+(5-7)^{2}}$

$d=\sqrt{(4)^{2}+(-2)^{2}}$

$d=\sqrt{20}\ units$

$d=2\sqrt{5}\ units$  ----> exact answer

$d=4.472\ units$  -----> approximation to three decimal places