Answer:
9.22
Step-by-step explanation:
First, let's establish the distance formula! The distance formula is [tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2[/tex]. Now, let's input our variables into the formula.
[tex]d = \sqrt{(9-2)^2 + (-9 + 3)^2}[/tex] (Also, we changed the minus sign to a plus sign because we have a negative number and we know that a negative minus a negative is a positive!) Now we can start to solve the equations!
1st. We need to solve inside the parenthesis of both the x parenthesis and the y parenthesis.
[tex]d = \sqrt{(7)^2 + (-6)^2}[/tex]
2nd. We should square the inside of both of the parenthesis!
[tex]d = \sqrt{49 + 36[/tex] (Remeber that when you square a negative you get a positive)
3rd. Then, we can add 49 and 36!
[tex]d = \sqrt{85}[/tex]
4th. Lastly, we are going to find the square root of 85.
d ≈ 9.22 (Remember that "≈" means the round solution, in this case we are rounding to the nearest 100th!)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
