Find the distance between the points. Give an exact answer and an approximation to three decimal places. (7. - 3) and (5,1)

Question

asked Jun 15, 2020 159k views

1 Answer

Kaskasi · Answer 1 · 2020-06-21T23:51:30+0000

Answer:

The distance between the points is
$d=2√(5)\ units$ or
$d=4.472\ units$

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

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

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

$d=√(20)\ units$

$d=2√(5)\ units$ ----> exact answer

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