The formula for distance between two points is:
[tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2}}[/tex]
In this case:
[tex]x_{2} =3\\x_{1} =3\\y_{2} =-3\\y_{1} =0[/tex]
^^^Plug these numbers into the formula for distance like so...
[tex]\sqrt{(3-3)^{2} + (-3-0)^{2}}[/tex]
To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
First we have parentheses. Remember that when solving you must go from left to right[tex]\sqrt{(3-3)^{2} + (-3-0)^{2}}[/tex]
3 - 3 = 0
[tex]\sqrt{(0)^{2} + (-3-0)^{2}}[/tex]
-3 - 0 = -3
[tex]\sqrt{(0)^{2} + (-3)^{2}}[/tex]
Next solve the exponent. Again, you must do this from left to right
[tex]\sqrt{(0)^{2} + (-3)^{2}}[/tex]
0² = 0
[tex]\sqrt{0 + (-3)^{2}}[/tex]
(-3)² = 9
[tex]\sqrt{(0 + 9)}[/tex]
Now for the addition
[tex]\sqrt{(0+9)}[/tex]
0 + 9 = 9
√9 <<<This can be further simplified to:3 units
***Remember that the above answers are in terms of units
Hope this helped!
~Just a girl in love with Shawn Mendes