SOLUTION: What is the distance between the points (23, -33) and (4, 9)? If necessary, round your answer to two decimal places.

Question 458611: What is the distance between the points (23, -33) and (4, 9)? If necessary, round your answer to two decimal places.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

Simplify the square root.

So our answer is

Which approximates to (after using a calculator)

So the distance between the two points is approximately 46.098 units.
RELATED QUESTIONS
Find the distance between the two points. Round your result to two decimal places.... (answered by mananth)

Find the distance between the two points. Round your result to two decimal places.... (answered by mananth)

Find the distance between the two points. Round your result to two decimal places.... (answered by Alan3354)

What is the distance between the points (-2,5) and (-1,-2)? Show your answer in both... (answered by Alan3354)

Your backpacker's guide contains a grid map of Paris, with each unit on the grid... (answered by ikleyn)

Find the principal square root of 9. If necessary, round your answer to the nearest... (answered by Alan3354)

What is the distance between points A and B if A has coordinates (-5,7) and B (1,-5)?... (answered by rfer)