Question

Find the distance between the point (4, -2) and (-5, 1).

• A. $4.897$
• B. $8.947$
• C. $7.149$
• D. $9.487$
• E. none of these

Answer 1

The correct option is D $9.487$

Distance b/w two points:

We know that, the distance between two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is $\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$.

Distance between the two points $(4,-2)$ and $(-5,1)$ is;

$r=\sqrt{(-5-4{)}^2+(1-(-2){)}^2)}$

$=>r=\sqrt{81+9}$

$=>r=\sqrt{90}$

$=>r=9.487$