Question

40 Points Please Help I'm not sure if they are correct.

Distance Formula: ​

D=(x​2​​ −x1​​ )^2​​ +(y2​​ −y1​​ )^2
​


1. Find the distance between (0,0) and (6,8)?


2. Find the distance between (-3,2) and (3,5)?


3. Find the distance between (-1,-1) and (4,-5)?

Answer 1

Replace the x and y values in the given equation.

1. d = √((6-0)^2 + (8-0)^2

= √(6^2 + 8^2)

= √(36 + 64)

= √100

= 10

2. d = √((3-(-3))^2 + (5-2)^2

=√((3+3)^2 + 3^2)

=√(6^2 + 3^2)

= √(36 + 9)

= √45

=3√5 ( exact ) or as a decimal 6.7082 (round as needed)

3. d = √((4-(-1))^2 + (-5-(-1))^2

= √((4+1)^2 + (-5+1)^2)

= √(5^2 + -4^2)

=√(25 + 16)

= √41 (exact) or as a decimal 6.4031 (round as needed)