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} =0\\x_{1} =3\\y_{2} =-9\\y_{1} =-8[/tex]
^^^Plug these numbers into the formula for distance like so...
[tex]\sqrt{(0-3)^{2} + (-9 - (-8))^{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{(0-3)^{2} + (-9-(-8))^{2}}[/tex]
0 - 3 = -3
[tex]\sqrt{(-3)^{2} + (-9-(-8))^{2}}[/tex]
-9 - (-8) = -1
[tex]\sqrt{(-3)^{2} + (-1)^{2}}[/tex]
Next solve the exponent. Again, you must do this from left to right
[tex]\sqrt{(-3)^{2} + (-1)^{2}}[/tex]
(-3)² = 9
[tex]\sqrt{9 + (-1)^{2}}[/tex]
(-1)² = 1
[tex]\sqrt{(9+1)}[/tex]
Now for the addition
[tex]\sqrt{(9+1)}[/tex]
9 + 1 = 10
√10 <<<This can not be further simplified so this is your exact answer
Your approximate answer would be about 3.16
***Remember that the above answers are in terms of units
Hope this helped!
~Just a girl in love with Shawn Mendes
