What is the distance between #(–5, –9) # and # (4, 7) #?
1 Answer
Jan 31, 2016
# sqrt337 ≈ 18.4 #
Explanation:
To calculate the distance between 2 given points.
Use the
# color(blue)(" distance formula ") #
# d = sqrt ( (x_2 - x_1 )^2 + (y_2 - y_1 )^2 )# where
# (x_1 , y_1 ) , (x_2 , y_2 ) color(black)(" are 2 points ") # here let
# (x_1 , y_1 ) = (-5 , - 9 )color(black)(" and ") (x_2 ,y_2) = (4 , 7 )# substitute the values into equation.
# d = sqrt ((4-(-5)^2) + (7-(-9)^2)) = sqrt (( 9^2+ 16^2)) = sqrt337 ≈18.4#
