The equation which is the correct use of the distance
formula : [tex]17=\sqrt{(27-12)^2+(y_2-15)^2}[/tex]
The correct answer is an option (D)
What is the distance formula?
"The distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]"
For given question,
We have been given the two points [tex](12,15)[/tex] and [tex](27,y_2)[/tex]
And the distance between these points is 17 units.
⇒ d = 17
Let [tex](x_1,y_1)=(12,15),(x_2,y_2)=(27,y_2)[/tex]
Using the distance formula,
[tex]\Rightarrow d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\Rightarrow 17=\sqrt{(27-12)^2+(y_2-15)^2}[/tex]
Therefore, the equation which is the correct use of the distance
formula : [tex]17=\sqrt{(27-12)^2+(y_2-15)^2}[/tex]
The correct answer is an option (D)
Learn more about the distance between two points here:
https://brainly.com/question/8283882
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