Answer:
15
Step-by-step explanation:
OPTION 1:
We can use the distance formula to find the distance between these two points.
[tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
X2 is -9, X1 is 0, Y2 is -10, and Y1 is 2, so we can substitute inside the equation.
[tex]\sqrt{(-9-0)^2 + (-10-2)^2}\\\\\sqrt{9^2 + -12^2}\\\\\sqrt{81 + 144}\\\\\sqrt{225}\\\\15[/tex]
OPTION 2:
We can look at the change in x and the change in y and use the Pythagorean Theorem to find the missing length of the hypotenuse.
The x changes by 9, and the Y changes by 12.
[tex]a^2+b^2=c^2[/tex] is the Pythagorean Theorem. We know a and b, so we can substitute inside the equation.
[tex]9^2 + 12^2 = c^2\\\\81+144=c^2\\\\225=c^2\\\\c=15[/tex]
Hope this helped!
