Which of the following sums would be under the radical symbol to find the distance between the points (7, -1) and (-8, -9)?

1²+10²
1+8²
15²+8²

Respuesta :

So the distance formula is [tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex] . Using this, our equation is [tex] \sqrt{(7-(-8))^2+(-1-(-9))^2} [/tex] and we can solve for it as such:

[tex] \sqrt{(7-(-8))^2+(-1-(-9))^2}\\ \sqrt{15^2+8^2} [/tex]

As we see with this radical, the sum that's under it is 15^2 + 8^2, or the third option.