Question

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

Answer 1

Answer: $3\sqrt{2}$

Step-by-step explanation:

$\sqrt{\left(5-2\right)^2+\left(5-2\right)^2}$

= $3\sqrt{2}$

Answer 2

Answer & Step-by-step explanation:

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

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

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

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

Subtract 2 from 5 in both parentheses.

$Distance(d)=\sqrt{(3)^2+(3)^2}$

Simplify the exponents.

$Distance(d)=\sqrt{9+9}$

Add 9 and 9 together.

$Distance(d)=\sqrt{18}$

Simplify the radical.

$Distance(d)=3\sqrt{2}$

This number can also be simplified into 4.24.

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