Question

Find the distance behween the points given
(2, 2) and (5,5)

Answer 1

Answer & Step-by-step explanation:

First, we must know the formula for finding the distance between two given points.

`Distance(d)=√((x_2-x_1)^2+(y_2-y_1)^2)`

We will plug in (2,2) for (x1,y1) and we will plug in (5,5) for (y2,y1).

`Distance(d)=√((5-2)^2+(5-2)^2)`

Subtract 2 from 5 in both parentheses.

`Distance(d)=√((3)^2+(3)^2)`

Simplify the exponents.

`Distance(d)=√(9+9)`

Add 9 and 9 together.

`Distance(d)=√(18)`

Simplify the radical.

`Distance(d)=3√(2)`

This number can also be simplified into 4.24.

So, the distance between the two points is 3√2 units or 4.24 units.

Answer 2

Answer:
`3√(2)`

Explanation:

`√(\left(5-2\right)^2+\left(5-2\right)^2)`

=
`3√(2)`