Question

Find the distance d (Upper P 1 comma Upper P 2 )between the points Upper P 1 and Upper P 2 .P1= (-5,3)P2= (2,4) ___d(P1,P2) = ___

Answer 1

Answer:

The distance between the points P₁= (-5,3) and P₂= (2,4) is $5\sqrt{2}$.

Step-by-step explanation:

The given points are P₁= (-5,3) and P₂= (2,4).

We need to find the distance between the points P₁= (-5,3) and P₂= (2,4).

Distance formula:

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

Using the distance formula we get

$d=\sqrt{(2-(-5))^2+(4-3)^2}$

$d=\sqrt{(2+5)^2+(4-3)^2}$

On further simplification we get

$d=\sqrt{(7)^2+(1)^2}$

$d=\sqrt{49+1}$

$d=\sqrt{50}$

$d=\sqrt{25\times 2}$

$d=5\sqrt{2}$

Therefore, the distance between the points P₁= (-5,3) and P₂= (2,4) is $5\sqrt{2}$.