Question

Find the distance between the points below.
4 + 3i and 9 – 9i

Answer 1

hello here is a solution : 

Answer 2

Answer: The required distance between the given points is 13 units.

Step-by-step explanation: We are given to find the distance between the following points :

`(4+3i)~~~\textup{and}~~~(9-9i).`

We know that

the distance between two points z = a + bi and z' = c + di is given by

`D=√((c-a)^2+(d-b)^2).`

For the given points, we have

z = 4 + 3i and z' = 9 - 9i.

Therefore, the distance between the points is given by

`D=√((9-4)^2+(-9-3)^2)=√(5^2+(-12)^2)=√(24+144)=√(169)=13.`

Thus, the required distance between the given points is 13 units.