Answer:
[tex]\boxed {d = \sqrt{194}}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you find the distance between the two given points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Substitute the two given points onto the formula:
First point: [tex](3, 9)[/tex]
Second point: [tex](-10, 4)[/tex]
[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]
-Then, you solve for the distance:
[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]
[tex]d = \sqrt{(-13)^{2} + (-5)^{2}}[/tex]
[tex]d = \sqrt{169 + 25}[/tex]
[tex]\boxed {d = \sqrt{194}}[/tex] (since the number cannot be square rooted, the number will stay the same)
Therefore, the distance is [tex]\sqrt{194}[/tex].
