URGENT! PLEASE HELP ALGEBRA

Question

Calculate the distance between the points
=L−5,9
and
=N−8,4
in the Cartesian plane.

Write the exact answer in radical form.

Answer 1

Distance Formula:

 

d = square root [(x₁- x₂)² + (y₁ - y₂)²], which is just the Pythagorean Formula, for which you are finding the hypotenuse of a right triangle.

 

For your numbers:

 

d = square root [(-5--8)²+(9-4)²]

d = square root [3²+5²]

d= square root (9+25)

d = square root (34)

 

This is your final answer, because 34 has no perfect square roots, as it's factors are 2 and 17.

Answer 2

The formula for distance is:

 

d = √((x₂ - x₁)² + (y₂ - y₁)²)

 

So that's √(-8 - (-5))² + (4-9)²) =

√((-3)² + (-5)²) = 

√(9 + 25) =

√34