Respuesta :

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

this is distance formula
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