Question

Can u guys PLEASE answer this question ASAP.

which of the two points M(3,6) and N(6,-4) is closer to P(-2,-1)

Answer 1

n

Explanation:

Answer 2

`\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}`

Explanation:

Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane

Supposing that there are two points
`(x_(1), y_(1))` and
`(x_(2), y_(2))` on 2D plane.

The distance
`d` between these two points is calculated by:

`d = \sqrt{(x_(1) - x_(2)) ^(2) + (y_(1) - y_(2))^(2) }`

Step 2: Calculate the distance
`d_(1)` between
`M(3, 6)` &
`P(-2, -1)` and distance
`d_(2)` between
`N(6, -4)` and
`P(-2, -1)`

Applying the formula in step 1:

`d_(1) = \sqrt{(3+ 2) ^(2) + (6 + 1)^(2) } = √(25 + 49) = √(74)`

`d_(2) = \sqrt{(6+ 2) ^(2) + (-4 + 1)^(2) } = √(64 + 9) = √(73)`

Step 3: Compare and conclude

Because
`√(73) < √(74)` =>
`d_(2) < d_(1)` => N is closer to P than M

Hope this helps!

:)