Question

Which expression gives the distance between the points (4,6)and (7,-3)

Answer 1

As shown in the image....

Explanation:

This equation follows with the distance formula which is (x2-x1)+(y2-y1) squared.

Answer 2

The distance between any two points is:

d^2=(x2-x1)^2+(y2-y1)^2 so in this case:

d^2=(7-4)^2+(-3-6)^2

d^2=3^2+9^2

d^2=90

d=√90

d=3√10 units

d≈9.49 units (to nearest hundredth of a unit)