Question

The diagram shows A(-3, 5) and B(8, 1) what is the distance between the points? Enter the answer as a number without units. Round your answer to one decimal

Answer 1

Answer:

$AB=\sqrt{137}$

Step-by-step explanation:

The Distance between two points in coordinate geometry can be find by the Distance formula:

If two points $(x_1,y_1)$ and $(x_2,y_2)$ are given:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For points $A(-3,5)$ and $B(8,1)$

        $Distance (AB)=\sqrt{(8-(-3))^2+(1-5)^2}\\\\ Distance(AB)=\sqrt{(8+3)^2+(1-5)^2}\\\\Distance(AB)=\sqrt{11^2+(-4)^2}\\\\ Distance(AB)=\sqrt{121+16} \\\\AB=\sqrt{137}$

The Distance of points is $AB=\sqrt{137}$