which is the best estimate of the distance between the point (-25, 10) and the origin?\n8 units\n15…

Explanation:

Step1: Recall distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. The origin is $(0,0)$ and the given point is $(-25,10)$. So $x_1 = 0,y_1=0,x_2=-25,y_2 = 10$.

Step2: Substitute values

$d=\sqrt{(-25 - 0)^2+(10 - 0)^2}=\sqrt{(-25)^2+10^2}=\sqrt{625 + 100}=\sqrt{725}$.

Step3: Approximate the square - root

We know that $\sqrt{725}\approx\sqrt{729}=27$ since $27\times27 = 729$ and 725 is close to 729.

Answer:

27 units