Question

ESFind the distance d(P. P2) between the points P, and P2-omennsP. = (-4.3)P2 = (3.2)ERE!(P, P2) =O(Simplify your answer. Type an exact answer using radicals as needed.)1 Guit2 Gunents

Answer 1

We have two points and we need to calculate the distance between them.

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

We can apply the following formula for the distance between points:

`D=√((x_2-x_1)^2)+(y_2-y_1)^2`
`\begin{gathered} D=√((3-(-4))^2)+(3-2)^2 \\ D=√(7^2+1^2)=√(49+1)=√(50)=√((25\cdot2))=5√(2) \end{gathered}`

The answe is 5 times the square root of 2:

`D=5√(2)`