morgandnie
Answered

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PK has endpoints at P(6,-3) and K(3,-9). How long is PK

Sagot :

Heather

Answer:

[tex]d=\sqrt{45}[/tex], or [tex]d=3\sqrt{5}[/tex], or about 6.7

Step-by-step explanation:

[] We can use the distance formula to solve.

-> [tex]d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }[/tex]

-> P(6, -3) will be point one

-> P(3, -9) will be point two

[] Plugging in and solving:

[tex]d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }[/tex]

[tex]d=\sqrt{(3 -6)^{2} +(-9--3)^{2 } }[/tex]

[tex]d=\sqrt{(3 -6)^{2} +(-9+3)^{2 } }[/tex]

[tex]d=\sqrt{(-3 )^{2} +(-6)^{2 } }[/tex]

[tex]d=\sqrt{9 +36 }[/tex]

[tex]d=\sqrt{45}[/tex]

[tex]d=3\sqrt{5}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

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