Question

Please help the distance formula

Answer 1

Answer:

7.8

Step-by-step explanation:

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

where the x and y values are derived from the given points

here the given points are (11,3) and (6,9)

assigning variables

(x1,y1) = (11,3) so x1 = 11 and y1 = 3

(x2,y2) = (6,9) so x2 = 6 and y2 = 9

plugging in values into formula

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

==> plug in x1 = 11 , y1 = 3 , x2 = 6 and y2 = 9

$d=\sqrt{(6-11)^2+(9-3)^2}$

==> subtract values in parenthesis

$d=\sqrt{(-5)^2+(6)^2}$

==> evaluate exponents

$d=\sqrt{25+36}$

==> add 25 and 36

$d=\sqrt{61}=7.8$ ( approximately )